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What is the Least Common Multiple of 12573 and 12587?

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 12573 and 12587 is 158256351.

LCM(12573,12587) = 158256351

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Least Common Multiple of 12573 and 12587 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12573 and 12587, than apply into the LCM equation.

GCF(12573,12587) = 1
LCM(12573,12587) = ( 12573 × 12587) / 1
LCM(12573,12587) = 158256351 / 1
LCM(12573,12587) = 158256351

Least Common Multiple (LCM) of 12573 and 12587 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12573 and 12587. First we will calculate the prime factors of 12573 and 12587.

Prime Factorization of 12573

Prime factors of 12573 are 3, 11, 127. Prime factorization of 12573 in exponential form is:

12573 = 32 × 111 × 1271

Prime Factorization of 12587

Prime factors of 12587 are 41, 307. Prime factorization of 12587 in exponential form is:

12587 = 411 × 3071

Now multiplying the highest exponent prime factors to calculate the LCM of 12573 and 12587.

LCM(12573,12587) = 32 × 111 × 1271 × 411 × 3071
LCM(12573,12587) = 158256351