What is the Least Common Multiple of 22560 and 22570?

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 22560 and 22570 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22560 and 22570, than apply into the LCM equation.

GCF(22560,22570) = 10
LCM(22560,22570) = ( 22560 × 22570) / 10
LCM(22560,22570) = 509179200 / 10
LCM(22560,22570) = 50917920

Least Common Multiple (LCM) of 22560 and 22570 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22560 and 22570. First we will calculate the prime factors of 22560 and 22570.

Prime Factorization of 22560

Prime Factorization of 22570

Now multiplying the highest exponent prime factors to calculate the LCM of 22560 and 22570.

LCM(22560,22570) = 2⁵ × 3¹ × 5¹ × 47¹ × 37¹ × 61¹
LCM(22560,22570) = 50917920