What is the Least Common Multiple of 52664 and 52672?

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 52664 and 52672 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52664 and 52672, than apply into the LCM equation.

GCF(52664,52672) = 8
LCM(52664,52672) = ( 52664 × 52672) / 8
LCM(52664,52672) = 2773918208 / 8
LCM(52664,52672) = 346739776

Least Common Multiple (LCM) of 52664 and 52672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52664 and 52672. First we will calculate the prime factors of 52664 and 52672.

Prime Factorization of 52664

Prime Factorization of 52672

Now multiplying the highest exponent prime factors to calculate the LCM of 52664 and 52672.

LCM(52664,52672) = 2⁶ × 29¹ × 227¹ × 823¹
LCM(52664,52672) = 346739776