What is the Least Common Multiple of 52536 and 52544?

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 52536 and 52544 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52536 and 52544, than apply into the LCM equation.

GCF(52536,52544) = 8
LCM(52536,52544) = ( 52536 × 52544) / 8
LCM(52536,52544) = 2760451584 / 8
LCM(52536,52544) = 345056448

Least Common Multiple (LCM) of 52536 and 52544 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52536 and 52544. First we will calculate the prime factors of 52536 and 52544.

Prime Factorization of 52536

Prime Factorization of 52544

Now multiplying the highest exponent prime factors to calculate the LCM of 52536 and 52544.

LCM(52536,52544) = 2⁶ × 3¹ × 11¹ × 199¹ × 821¹
LCM(52536,52544) = 345056448