What is the Least Common Multiple of 22752 and 22760?

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 22752 and 22760 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22752 and 22760, than apply into the LCM equation.

GCF(22752,22760) = 8
LCM(22752,22760) = ( 22752 × 22760) / 8
LCM(22752,22760) = 517835520 / 8
LCM(22752,22760) = 64729440

Least Common Multiple (LCM) of 22752 and 22760 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22752 and 22760. First we will calculate the prime factors of 22752 and 22760.

Prime Factorization of 22752

Prime Factorization of 22760

Now multiplying the highest exponent prime factors to calculate the LCM of 22752 and 22760.

LCM(22752,22760) = 2⁵ × 3² × 79¹ × 5¹ × 569¹
LCM(22752,22760) = 64729440