What is the Least Common Multiple of 54625 and 54645?

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 54625 and 54645 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54625 and 54645, than apply into the LCM equation.

GCF(54625,54645) = 5
LCM(54625,54645) = ( 54625 × 54645) / 5
LCM(54625,54645) = 2984983125 / 5
LCM(54625,54645) = 596996625

Least Common Multiple (LCM) of 54625 and 54645 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54625 and 54645. First we will calculate the prime factors of 54625 and 54645.

Prime Factorization of 54625

Prime Factorization of 54645

Now multiplying the highest exponent prime factors to calculate the LCM of 54625 and 54645.

LCM(54625,54645) = 5³ × 19¹ × 23¹ × 3¹ × 3643¹
LCM(54625,54645) = 596996625