What is the Least Common Multiple of 74725 and 74745?

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 74725 and 74745 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74725 and 74745, than apply into the LCM equation.

GCF(74725,74745) = 5
LCM(74725,74745) = ( 74725 × 74745) / 5
LCM(74725,74745) = 5585320125 / 5
LCM(74725,74745) = 1117064025

Least Common Multiple (LCM) of 74725 and 74745 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74725 and 74745. First we will calculate the prime factors of 74725 and 74745.

Prime Factorization of 74725

Prime Factorization of 74745

Now multiplying the highest exponent prime factors to calculate the LCM of 74725 and 74745.

LCM(74725,74745) = 5² × 7² × 61¹ × 3² × 11¹ × 151¹
LCM(74725,74745) = 1117064025