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What is the Least Common Multiple of 9351 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 9351 and 9360 is 9725040.

LCM(9351,9360) = 9725040

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Least Common Multiple of 9351 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 9351 and 9360, than apply into the LCM equation.

GCF(9351,9360) = 9
LCM(9351,9360) = ( 9351 × 9360) / 9
LCM(9351,9360) = 87525360 / 9
LCM(9351,9360) = 9725040

Least Common Multiple (LCM) of 9351 and 9360 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9351 and 9360. First we will calculate the prime factors of 9351 and 9360.

Prime Factorization of 9351

Prime factors of 9351 are 3, 1039. Prime factorization of 9351 in exponential form is:

9351 = 32 × 10391

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 9351 and 9360.

LCM(9351,9360) = 32 × 10391 × 24 × 51 × 131
LCM(9351,9360) = 9725040