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What is the Least Common Multiple of 12574 and 12586?

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 12574 and 12586 is 79128182.

LCM(12574,12586) = 79128182

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Least Common Multiple of 12574 and 12586 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12574 and 12586, than apply into the LCM equation.

GCF(12574,12586) = 2
LCM(12574,12586) = ( 12574 × 12586) / 2
LCM(12574,12586) = 158256364 / 2
LCM(12574,12586) = 79128182

Least Common Multiple (LCM) of 12574 and 12586 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12574 and 12586. First we will calculate the prime factors of 12574 and 12586.

Prime Factorization of 12574

Prime factors of 12574 are 2, 6287. Prime factorization of 12574 in exponential form is:

12574 = 21 × 62871

Prime Factorization of 12586

Prime factors of 12586 are 2, 7, 29, 31. Prime factorization of 12586 in exponential form is:

12586 = 21 × 71 × 291 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 12574 and 12586.

LCM(12574,12586) = 21 × 62871 × 71 × 291 × 311
LCM(12574,12586) = 79128182