What is the Least Common Multiple of 52644 and 52656?

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 52644 and 52656 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52644 and 52656, than apply into the LCM equation.

GCF(52644,52656) = 12
LCM(52644,52656) = ( 52644 × 52656) / 12
LCM(52644,52656) = 2772022464 / 12
LCM(52644,52656) = 231001872

Least Common Multiple (LCM) of 52644 and 52656 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52644 and 52656. First we will calculate the prime factors of 52644 and 52656.

Prime Factorization of 52644

Prime Factorization of 52656

Now multiplying the highest exponent prime factors to calculate the LCM of 52644 and 52656.

LCM(52644,52656) = 2⁴ × 3¹ × 41¹ × 107¹ × 1097¹
LCM(52644,52656) = 231001872