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What is the Least Common Multiple of 25659 and 25665?

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 25659 and 25665 is 219512745.

LCM(25659,25665) = 219512745

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Least Common Multiple of 25659 and 25665 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25659 and 25665, than apply into the LCM equation.

GCF(25659,25665) = 3
LCM(25659,25665) = ( 25659 × 25665) / 3
LCM(25659,25665) = 658538235 / 3
LCM(25659,25665) = 219512745

Least Common Multiple (LCM) of 25659 and 25665 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25659 and 25665. First we will calculate the prime factors of 25659 and 25665.

Prime Factorization of 25659

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

25659 = 32 × 28511

Prime Factorization of 25665

Prime factors of 25665 are 3, 5, 29, 59. Prime factorization of 25665 in exponential form is:

25665 = 31 × 51 × 291 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 25659 and 25665.

LCM(25659,25665) = 32 × 28511 × 51 × 291 × 591
LCM(25659,25665) = 219512745