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What is the Least Common Multiple of 25612 and 25622?

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 25612 and 25622 is 328115332.

LCM(25612,25622) = 328115332

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Least Common Multiple of 25612 and 25622 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25612 and 25622, than apply into the LCM equation.

GCF(25612,25622) = 2
LCM(25612,25622) = ( 25612 × 25622) / 2
LCM(25612,25622) = 656230664 / 2
LCM(25612,25622) = 328115332

Least Common Multiple (LCM) of 25612 and 25622 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25612 and 25622. First we will calculate the prime factors of 25612 and 25622.

Prime Factorization of 25612

Prime factors of 25612 are 2, 19, 337. Prime factorization of 25612 in exponential form is:

25612 = 22 × 191 × 3371

Prime Factorization of 25622

Prime factors of 25622 are 2, 23, 557. Prime factorization of 25622 in exponential form is:

25622 = 21 × 231 × 5571

Now multiplying the highest exponent prime factors to calculate the LCM of 25612 and 25622.

LCM(25612,25622) = 22 × 191 × 3371 × 231 × 5571
LCM(25612,25622) = 328115332