What is the Least Common Multiple of 61625 and 61635?

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 of 61625 and 61635 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61625 and 61635, than apply into the LCM equation.

GCF(61625,61635) = 5
LCM(61625,61635) = ( 61625 × 61635) / 5
LCM(61625,61635) = 3798256875 / 5
LCM(61625,61635) = 759651375

Least Common Multiple (LCM) of 61625 and 61635 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61625 and 61635. First we will calculate the prime factors of 61625 and 61635.

Prime Factorization of 61625

Prime Factorization of 61635

Now multiplying the highest exponent prime factors to calculate the LCM of 61625 and 61635.

LCM(61625,61635) = 5³ × 17¹ × 29¹ × 3¹ × 7¹ × 587¹
LCM(61625,61635) = 759651375