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What is the Least Common Multiple of 12358 and 12371?

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 12358 and 12371 is 152880818.

LCM(12358,12371) = 152880818

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Least Common Multiple of 12358 and 12371 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12358 and 12371, than apply into the LCM equation.

GCF(12358,12371) = 1
LCM(12358,12371) = ( 12358 × 12371) / 1
LCM(12358,12371) = 152880818 / 1
LCM(12358,12371) = 152880818

Least Common Multiple (LCM) of 12358 and 12371 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12358 and 12371. First we will calculate the prime factors of 12358 and 12371.

Prime Factorization of 12358

Prime factors of 12358 are 2, 37, 167. Prime factorization of 12358 in exponential form is:

12358 = 21 × 371 × 1671

Prime Factorization of 12371

Prime factors of 12371 are 89, 139. Prime factorization of 12371 in exponential form is:

12371 = 891 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 12358 and 12371.

LCM(12358,12371) = 21 × 371 × 1671 × 891 × 1391
LCM(12358,12371) = 152880818