What is the Least Common Multiple of 95625 and 95635?

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 95625 and 95635 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95625 and 95635, than apply into the LCM equation.

GCF(95625,95635) = 5
LCM(95625,95635) = ( 95625 × 95635) / 5
LCM(95625,95635) = 9145096875 / 5
LCM(95625,95635) = 1829019375

Least Common Multiple (LCM) of 95625 and 95635 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95625 and 95635. First we will calculate the prime factors of 95625 and 95635.

Prime Factorization of 95625

Prime Factorization of 95635

Now multiplying the highest exponent prime factors to calculate the LCM of 95625 and 95635.

LCM(95625,95635) = 3² × 5⁴ × 17¹ × 31¹ × 617¹
LCM(95625,95635) = 1829019375