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What is the Least Common Multiple of 25646 and 25658?

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 25646 and 25658 is 329012534.

LCM(25646,25658) = 329012534

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Least Common Multiple of 25646 and 25658 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25646 and 25658, than apply into the LCM equation.

GCF(25646,25658) = 2
LCM(25646,25658) = ( 25646 × 25658) / 2
LCM(25646,25658) = 658025068 / 2
LCM(25646,25658) = 329012534

Least Common Multiple (LCM) of 25646 and 25658 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25646 and 25658. First we will calculate the prime factors of 25646 and 25658.

Prime Factorization of 25646

Prime factors of 25646 are 2, 12823. Prime factorization of 25646 in exponential form is:

25646 = 21 × 128231

Prime Factorization of 25658

Prime factors of 25658 are 2, 12829. Prime factorization of 25658 in exponential form is:

25658 = 21 × 128291

Now multiplying the highest exponent prime factors to calculate the LCM of 25646 and 25658.

LCM(25646,25658) = 21 × 128231 × 128291
LCM(25646,25658) = 329012534