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What is the Least Common Multiple of 9354 and 9360?

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 9354 and 9360 is 14592240.

LCM(9354,9360) = 14592240

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Least Common Multiple of 9354 and 9360 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9354 and 9360, than apply into the LCM equation.

GCF(9354,9360) = 6
LCM(9354,9360) = ( 9354 × 9360) / 6
LCM(9354,9360) = 87553440 / 6
LCM(9354,9360) = 14592240

Least Common Multiple (LCM) of 9354 and 9360 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9354 and 9360. First we will calculate the prime factors of 9354 and 9360.

Prime Factorization of 9354

Prime factors of 9354 are 2, 3, 1559. Prime factorization of 9354 in exponential form is:

9354 = 21 × 31 × 15591

Prime Factorization of 9360

Prime factors of 9360 are 2, 3, 5, 13. Prime factorization of 9360 in exponential form is:

9360 = 24 × 32 × 51 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 9354 and 9360.

LCM(9354,9360) = 24 × 32 × 15591 × 51 × 131
LCM(9354,9360) = 14592240