GCF and LCM Calculator Logo

What is the Least Common Multiple of 65625 and 65645?

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 65625 and 65645 is 861590625.

LCM(65625,65645) = 861590625

LCM Calculator and
and

Least Common Multiple of 65625 and 65645 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65625 and 65645, than apply into the LCM equation.

GCF(65625,65645) = 5
LCM(65625,65645) = ( 65625 × 65645) / 5
LCM(65625,65645) = 4307953125 / 5
LCM(65625,65645) = 861590625

Least Common Multiple (LCM) of 65625 and 65645 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65625 and 65645. First we will calculate the prime factors of 65625 and 65645.

Prime Factorization of 65625

Prime factors of 65625 are 3, 5, 7. Prime factorization of 65625 in exponential form is:

65625 = 31 × 55 × 71

Prime Factorization of 65645

Prime factors of 65645 are 5, 19, 691. Prime factorization of 65645 in exponential form is:

65645 = 51 × 191 × 6911

Now multiplying the highest exponent prime factors to calculate the LCM of 65625 and 65645.

LCM(65625,65645) = 31 × 55 × 71 × 191 × 6911
LCM(65625,65645) = 861590625