What is the Least Common Multiple of 74970 and 74988?

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 74970 and 74988 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74970 and 74988, than apply into the LCM equation.

GCF(74970,74988) = 18
LCM(74970,74988) = ( 74970 × 74988) / 18
LCM(74970,74988) = 5621850360 / 18
LCM(74970,74988) = 312325020

Least Common Multiple (LCM) of 74970 and 74988 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74970 and 74988. First we will calculate the prime factors of 74970 and 74988.

Prime Factorization of 74970

Prime Factorization of 74988

Now multiplying the highest exponent prime factors to calculate the LCM of 74970 and 74988.

LCM(74970,74988) = 2² × 3² × 5¹ × 7² × 17¹ × 2083¹
LCM(74970,74988) = 312325020