What is the Least Common Multiple of 22720 and 22727?

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 22727 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 22727, than apply into the LCM equation.

GCF(22720,22727) = 1
LCM(22720,22727) = ( 22720 × 22727) / 1
LCM(22720,22727) = 516357440 / 1
LCM(22720,22727) = 516357440

Least Common Multiple (LCM) of 22720 and 22727 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22720 and 22727. First we will calculate the prime factors of 22720 and 22727.

Prime Factorization of 22720

Prime Factorization of 22727

Now multiplying the highest exponent prime factors to calculate the LCM of 22720 and 22727.

LCM(22720,22727) = 2⁶ × 5¹ × 71¹ × 22727¹
LCM(22720,22727) = 516357440