Free LCM Calculator determines the least common multiple (LCM) between 8 and 9 the smallest integer that is 72 that is divisible by both numbers.
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Least Common Multiple (LCM) of 8 and 9 is 72.
LCM(8,9) = 72
Least common multiple can be found by multiplying the highest exponent prime factors of 8 and 9. First we will calculate the prime factors of 8 and 9.
Prime Factorization of 8
| 2 | 8 |
| 2 | 4 |
| 2 | 2 |
| 1 |
Prime factors of 8 are 2. Prime factorization of 8 in exponential form is:
8 = 23Prime Factorization of 9
| 3 | 9 |
| 3 | 3 |
| 1 |
Prime factors of 9 are 3. Prime factorization of 9 in exponential form is:
9 = 32Now multiplying the highest exponent prime factors to calculate the LCM of 8 and 9.
LCM(8,9) = 23×32LCM(8,9) = 72
Factors of 8
List of positive integer factors of 8 that divides 8 without a remainder.
1, 2, 4, 8
Factors of 9
List of positive integer factors of 9 that divides 9 without a remainder.
1, 3, 9
Least Common Multiple of 8 and 9 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).We need to calculate greatest common factor 8 and 9, than apply into the LCM equation.
GCF(8,9) = 1LCM(8,9) = ( 8 × 9) / 1LCM(8,9) = 72 / 1LCM(8,9) = 72
Properties of LCM 8 and 9
(i) The LCM of 9 and 8 is associative
LCM of 8 and 9 = LCM of 9 and 8
Related Least Common Multiples of 8
Related Least Common Multiples of 9
Frequently Asked Questions on LCM of 8 and 9
1. What is the LCM of 8 and 9?
Answer: LCM of 8 and 9 is 72.
2. What are the Factors of 8?
Answer: Factors of 8 are 1, 2, 4, 8. There are 4 integers that are factors of 8. The greatest factor of 8 is 8.
3. What are the Factors of 9?
Answer: Factors of 9 are 1, 3, 9. There are 3 integers that are factors of 9. The greatest factor of 9 is 9.
See more: The Coefficients In A Chemical Equation Represent The, What Is A Coefficient In A Chemical Equation
4. How to Find the LCM of 8 and 9?
Answer:
Least Common Multiple of 8 and 9 = 72
Step 1: Find the prime factorization of 8
8 = 2 x 2 x 2
Step 2: Find the prime factorization of 9
9 = 3 x 3
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 72 = 2 x 2 x 2 x 3 x 3
Step 4: Therefore, the least common multiple of 8 and 9 is 72.
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