What is the Least Common Multiple of 53056 and 53072?

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 53056 and 53072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53056 and 53072, than apply into the LCM equation.

GCF(53056,53072) = 16
LCM(53056,53072) = ( 53056 × 53072) / 16
LCM(53056,53072) = 2815788032 / 16
LCM(53056,53072) = 175986752

Least Common Multiple (LCM) of 53056 and 53072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53056 and 53072. First we will calculate the prime factors of 53056 and 53072.

Prime Factorization of 53056

Prime Factorization of 53072

Now multiplying the highest exponent prime factors to calculate the LCM of 53056 and 53072.

LCM(53056,53072) = 2⁶ × 829¹ × 31¹ × 107¹
LCM(53056,53072) = 175986752