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What is the Least Common Multiple of 12352 and 12370?

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 12352 and 12370 is 76397120.

LCM(12352,12370) = 76397120

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Least Common Multiple of 12352 and 12370 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12352 and 12370, than apply into the LCM equation.

GCF(12352,12370) = 2
LCM(12352,12370) = ( 12352 × 12370) / 2
LCM(12352,12370) = 152794240 / 2
LCM(12352,12370) = 76397120

Least Common Multiple (LCM) of 12352 and 12370 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12352 and 12370. First we will calculate the prime factors of 12352 and 12370.

Prime Factorization of 12352

Prime factors of 12352 are 2, 193. Prime factorization of 12352 in exponential form is:

12352 = 26 × 1931

Prime Factorization of 12370

Prime factors of 12370 are 2, 5, 1237. Prime factorization of 12370 in exponential form is:

12370 = 21 × 51 × 12371

Now multiplying the highest exponent prime factors to calculate the LCM of 12352 and 12370.

LCM(12352,12370) = 26 × 1931 × 51 × 12371
LCM(12352,12370) = 76397120