What is the Least Common Multiple of 91620 and 91625?

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 91620 and 91625 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91620 and 91625, than apply into the LCM equation.

GCF(91620,91625) = 5
LCM(91620,91625) = ( 91620 × 91625) / 5
LCM(91620,91625) = 8394682500 / 5
LCM(91620,91625) = 1678936500

Least Common Multiple (LCM) of 91620 and 91625 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91620 and 91625. First we will calculate the prime factors of 91620 and 91625.

Prime Factorization of 91620

Prime Factorization of 91625

Now multiplying the highest exponent prime factors to calculate the LCM of 91620 and 91625.

LCM(91620,91625) = 2² × 3² × 5³ × 509¹ × 733¹
LCM(91620,91625) = 1678936500