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What is the Least Common Multiple of 12580 and 12598?

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 12580 and 12598 is 79241420.

LCM(12580,12598) = 79241420

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Least Common Multiple of 12580 and 12598 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12580 and 12598, than apply into the LCM equation.

GCF(12580,12598) = 2
LCM(12580,12598) = ( 12580 × 12598) / 2
LCM(12580,12598) = 158482840 / 2
LCM(12580,12598) = 79241420

Least Common Multiple (LCM) of 12580 and 12598 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12580 and 12598. First we will calculate the prime factors of 12580 and 12598.

Prime Factorization of 12580

Prime factors of 12580 are 2, 5, 17, 37. Prime factorization of 12580 in exponential form is:

12580 = 22 × 51 × 171 × 371

Prime Factorization of 12598

Prime factors of 12598 are 2, 6299. Prime factorization of 12598 in exponential form is:

12598 = 21 × 62991

Now multiplying the highest exponent prime factors to calculate the LCM of 12580 and 12598.

LCM(12580,12598) = 22 × 51 × 171 × 371 × 62991
LCM(12580,12598) = 79241420