What is the Least Common Multiple of 74700 and 74720?

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 74700 and 74720 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74700 and 74720, than apply into the LCM equation.

GCF(74700,74720) = 20
LCM(74700,74720) = ( 74700 × 74720) / 20
LCM(74700,74720) = 5581584000 / 20
LCM(74700,74720) = 279079200

Least Common Multiple (LCM) of 74700 and 74720 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74700 and 74720. First we will calculate the prime factors of 74700 and 74720.

Prime Factorization of 74700

Prime Factorization of 74720

Now multiplying the highest exponent prime factors to calculate the LCM of 74700 and 74720.

LCM(74700,74720) = 2⁵ × 3² × 5² × 83¹ × 467¹
LCM(74700,74720) = 279079200