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What is the Least Common Multiple of 12368 and 12375?

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 12368 and 12375 is 153054000.

LCM(12368,12375) = 153054000

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Least Common Multiple of 12368 and 12375 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12368 and 12375, than apply into the LCM equation.

GCF(12368,12375) = 1
LCM(12368,12375) = ( 12368 × 12375) / 1
LCM(12368,12375) = 153054000 / 1
LCM(12368,12375) = 153054000

Least Common Multiple (LCM) of 12368 and 12375 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12368 and 12375. First we will calculate the prime factors of 12368 and 12375.

Prime Factorization of 12368

Prime factors of 12368 are 2, 773. Prime factorization of 12368 in exponential form is:

12368 = 24 × 7731

Prime Factorization of 12375

Prime factors of 12375 are 3, 5, 11. Prime factorization of 12375 in exponential form is:

12375 = 32 × 53 × 111

Now multiplying the highest exponent prime factors to calculate the LCM of 12368 and 12375.

LCM(12368,12375) = 24 × 7731 × 32 × 53 × 111
LCM(12368,12375) = 153054000