What is the Least Common Multiple of 74980 and 74996?

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 74980 and 74996 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74980 and 74996, than apply into the LCM equation.

GCF(74980,74996) = 4
LCM(74980,74996) = ( 74980 × 74996) / 4
LCM(74980,74996) = 5623200080 / 4
LCM(74980,74996) = 1405800020

Least Common Multiple (LCM) of 74980 and 74996 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74980 and 74996. First we will calculate the prime factors of 74980 and 74996.

Prime Factorization of 74980

Prime Factorization of 74996

Now multiplying the highest exponent prime factors to calculate the LCM of 74980 and 74996.

LCM(74980,74996) = 2² × 5¹ × 23¹ × 163¹ × 18749¹
LCM(74980,74996) = 1405800020