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What is the Least Common Multiple of 9108 and 9126?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 9108 and 9126 is 4617756.

LCM(9108,9126) = 4617756

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Least Common Multiple of 9108 and 9126 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9108 and 9126, than apply into the LCM equation.

GCF(9108,9126) = 18
LCM(9108,9126) = ( 9108 × 9126) / 18
LCM(9108,9126) = 83119608 / 18
LCM(9108,9126) = 4617756

Least Common Multiple (LCM) of 9108 and 9126 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9108 and 9126. First we will calculate the prime factors of 9108 and 9126.

Prime Factorization of 9108

Prime factors of 9108 are 2, 3, 11, 23. Prime factorization of 9108 in exponential form is:

9108 = 22 × 32 × 111 × 231

Prime Factorization of 9126

Prime factors of 9126 are 2, 3, 13. Prime factorization of 9126 in exponential form is:

9126 = 21 × 33 × 132

Now multiplying the highest exponent prime factors to calculate the LCM of 9108 and 9126.

LCM(9108,9126) = 22 × 33 × 111 × 231 × 132
LCM(9108,9126) = 4617756