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What is the Least Common Multiple of 9468 and 9477?

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 9468 and 9477 is 9969804.

LCM(9468,9477) = 9969804

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Least Common Multiple of 9468 and 9477 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9468 and 9477, than apply into the LCM equation.

GCF(9468,9477) = 9
LCM(9468,9477) = ( 9468 × 9477) / 9
LCM(9468,9477) = 89728236 / 9
LCM(9468,9477) = 9969804

Least Common Multiple (LCM) of 9468 and 9477 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9468 and 9477. First we will calculate the prime factors of 9468 and 9477.

Prime Factorization of 9468

Prime factors of 9468 are 2, 3, 263. Prime factorization of 9468 in exponential form is:

9468 = 22 × 32 × 2631

Prime Factorization of 9477

Prime factors of 9477 are 3, 13. Prime factorization of 9477 in exponential form is:

9477 = 36 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 9468 and 9477.

LCM(9468,9477) = 22 × 36 × 2631 × 131
LCM(9468,9477) = 9969804