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What is the Least Common Multiple of 25665 and 25684?

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 25665 and 25684 is 659179860.

LCM(25665,25684) = 659179860

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Least Common Multiple of 25665 and 25684 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25665 and 25684, than apply into the LCM equation.

GCF(25665,25684) = 1
LCM(25665,25684) = ( 25665 × 25684) / 1
LCM(25665,25684) = 659179860 / 1
LCM(25665,25684) = 659179860

Least Common Multiple (LCM) of 25665 and 25684 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25665 and 25684. First we will calculate the prime factors of 25665 and 25684.

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

Prime Factorization of 25684

Prime factors of 25684 are 2, 6421. Prime factorization of 25684 in exponential form is:

25684 = 22 × 64211

Now multiplying the highest exponent prime factors to calculate the LCM of 25665 and 25684.

LCM(25665,25684) = 31 × 51 × 291 × 591 × 22 × 64211
LCM(25665,25684) = 659179860