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What is the Least Common Multiple of 25650 and 25659?

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 25650 and 25659 is 73128150.

LCM(25650,25659) = 73128150

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Least Common Multiple of 25650 and 25659 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25650 and 25659, than apply into the LCM equation.

GCF(25650,25659) = 9
LCM(25650,25659) = ( 25650 × 25659) / 9
LCM(25650,25659) = 658153350 / 9
LCM(25650,25659) = 73128150

Least Common Multiple (LCM) of 25650 and 25659 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25650 and 25659. First we will calculate the prime factors of 25650 and 25659.

Prime Factorization of 25650

Prime factors of 25650 are 2, 3, 5, 19. Prime factorization of 25650 in exponential form is:

25650 = 21 × 33 × 52 × 191

Prime Factorization of 25659

Prime factors of 25659 are 3, 2851. Prime factorization of 25659 in exponential form is:

25659 = 32 × 28511

Now multiplying the highest exponent prime factors to calculate the LCM of 25650 and 25659.

LCM(25650,25659) = 21 × 33 × 52 × 191 × 28511
LCM(25650,25659) = 73128150