What is the Least Common Multiple of 74720 and 74736?

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 74720 and 74736 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74720 and 74736, than apply into the LCM equation.

GCF(74720,74736) = 16
LCM(74720,74736) = ( 74720 × 74736) / 16
LCM(74720,74736) = 5584273920 / 16
LCM(74720,74736) = 349017120

Least Common Multiple (LCM) of 74720 and 74736 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74720 and 74736. First we will calculate the prime factors of 74720 and 74736.

Prime Factorization of 74720

Prime Factorization of 74736

Now multiplying the highest exponent prime factors to calculate the LCM of 74720 and 74736.

LCM(74720,74736) = 2⁵ × 5¹ × 467¹ × 3³ × 173¹
LCM(74720,74736) = 349017120