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What is the Least Common Multiple of 12358 and 12377?

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 12377 is 152954966.

LCM(12358,12377) = 152954966

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Least Common Multiple of 12358 and 12377 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 12377, than apply into the LCM equation.

GCF(12358,12377) = 1
LCM(12358,12377) = ( 12358 × 12377) / 1
LCM(12358,12377) = 152954966 / 1
LCM(12358,12377) = 152954966

Least Common Multiple (LCM) of 12358 and 12377 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12358 and 12377. First we will calculate the prime factors of 12358 and 12377.

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 12377

Prime factors of 12377 are 12377. Prime factorization of 12377 in exponential form is:

12377 = 123771

Now multiplying the highest exponent prime factors to calculate the LCM of 12358 and 12377.

LCM(12358,12377) = 21 × 371 × 1671 × 123771
LCM(12358,12377) = 152954966