What is the Least Common Multiple of 22720 and 22736?

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 22720 and 22736 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22720 and 22736, than apply into the LCM equation.

GCF(22720,22736) = 16
LCM(22720,22736) = ( 22720 × 22736) / 16
LCM(22720,22736) = 516561920 / 16
LCM(22720,22736) = 32285120

Least Common Multiple (LCM) of 22720 and 22736 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22720 and 22736. First we will calculate the prime factors of 22720 and 22736.

Prime Factorization of 22720

Prime Factorization of 22736

Now multiplying the highest exponent prime factors to calculate the LCM of 22720 and 22736.

LCM(22720,22736) = 2⁶ × 5¹ × 71¹ × 7² × 29¹
LCM(22720,22736) = 32285120