What is the Least Common Multiple of 22712 and 22724?

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 22712 and 22724 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22712 and 22724, than apply into the LCM equation.

GCF(22712,22724) = 4
LCM(22712,22724) = ( 22712 × 22724) / 4
LCM(22712,22724) = 516107488 / 4
LCM(22712,22724) = 129026872

Least Common Multiple (LCM) of 22712 and 22724 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22712 and 22724. First we will calculate the prime factors of 22712 and 22724.

Prime Factorization of 22712

Prime Factorization of 22724

Now multiplying the highest exponent prime factors to calculate the LCM of 22712 and 22724.

LCM(22712,22724) = 2³ × 17¹ × 167¹ × 13¹ × 19¹ × 23¹
LCM(22712,22724) = 129026872