What is the Least Common Multiple of 22528 and 22542?

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 22528 and 22542 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22528 and 22542, than apply into the LCM equation.

GCF(22528,22542) = 2
LCM(22528,22542) = ( 22528 × 22542) / 2
LCM(22528,22542) = 507826176 / 2
LCM(22528,22542) = 253913088

Least Common Multiple (LCM) of 22528 and 22542 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22528 and 22542. First we will calculate the prime factors of 22528 and 22542.

Prime Factorization of 22528

Prime Factorization of 22542

Now multiplying the highest exponent prime factors to calculate the LCM of 22528 and 22542.

LCM(22528,22542) = 2¹¹ × 11¹ × 3¹ × 13¹ × 17²
LCM(22528,22542) = 253913088