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What is the Least Common Multiple of 12375 and 12388?

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 12375 and 12388 is 153301500.

LCM(12375,12388) = 153301500

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Least Common Multiple of 12375 and 12388 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12375 and 12388, than apply into the LCM equation.

GCF(12375,12388) = 1
LCM(12375,12388) = ( 12375 × 12388) / 1
LCM(12375,12388) = 153301500 / 1
LCM(12375,12388) = 153301500

Least Common Multiple (LCM) of 12375 and 12388 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12375 and 12388. First we will calculate the prime factors of 12375 and 12388.

Prime Factorization of 12375

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

12375 = 32 × 53 × 111

Prime Factorization of 12388

Prime factors of 12388 are 2, 19, 163. Prime factorization of 12388 in exponential form is:

12388 = 22 × 191 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 12375 and 12388.

LCM(12375,12388) = 32 × 53 × 111 × 22 × 191 × 1631
LCM(12375,12388) = 153301500