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What is the Least Common Multiple of 12377 and 12385?

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 12377 and 12385 is 153289145.

LCM(12377,12385) = 153289145

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Least Common Multiple of 12377 and 12385 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12377 and 12385, than apply into the LCM equation.

GCF(12377,12385) = 1
LCM(12377,12385) = ( 12377 × 12385) / 1
LCM(12377,12385) = 153289145 / 1
LCM(12377,12385) = 153289145

Least Common Multiple (LCM) of 12377 and 12385 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12377 and 12385. First we will calculate the prime factors of 12377 and 12385.

Prime Factorization of 12377

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

12377 = 123771

Prime Factorization of 12385

Prime factors of 12385 are 5, 2477. Prime factorization of 12385 in exponential form is:

12385 = 51 × 24771

Now multiplying the highest exponent prime factors to calculate the LCM of 12377 and 12385.

LCM(12377,12385) = 123771 × 51 × 24771
LCM(12377,12385) = 153289145