What is the Least Common Multiple of 22744 and 22752?

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 22744 and 22752 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22744 and 22752, than apply into the LCM equation.

GCF(22744,22752) = 8
LCM(22744,22752) = ( 22744 × 22752) / 8
LCM(22744,22752) = 517471488 / 8
LCM(22744,22752) = 64683936

Least Common Multiple (LCM) of 22744 and 22752 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22744 and 22752. First we will calculate the prime factors of 22744 and 22752.

Prime Factorization of 22744

Prime Factorization of 22752

Now multiplying the highest exponent prime factors to calculate the LCM of 22744 and 22752.

LCM(22744,22752) = 2⁵ × 2843¹ × 3² × 79¹
LCM(22744,22752) = 64683936