What is the Least Common Multiple of 52256 and 52272?

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 52256 and 52272 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52256 and 52272, than apply into the LCM equation.

GCF(52256,52272) = 16
LCM(52256,52272) = ( 52256 × 52272) / 16
LCM(52256,52272) = 2731525632 / 16
LCM(52256,52272) = 170720352

Least Common Multiple (LCM) of 52256 and 52272 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52256 and 52272. First we will calculate the prime factors of 52256 and 52272.

Prime Factorization of 52256

Prime Factorization of 52272

Now multiplying the highest exponent prime factors to calculate the LCM of 52256 and 52272.

LCM(52256,52272) = 2⁵ × 23¹ × 71¹ × 3³ × 11²
LCM(52256,52272) = 170720352