What is the Least Common Multiple of 56256 and 56272?

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 56256 and 56272 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56256 and 56272, than apply into the LCM equation.

GCF(56256,56272) = 16
LCM(56256,56272) = ( 56256 × 56272) / 16
LCM(56256,56272) = 3165637632 / 16
LCM(56256,56272) = 197852352

Least Common Multiple (LCM) of 56256 and 56272 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56256 and 56272. First we will calculate the prime factors of 56256 and 56272.

Prime Factorization of 56256

Prime Factorization of 56272

Now multiplying the highest exponent prime factors to calculate the LCM of 56256 and 56272.

LCM(56256,56272) = 2⁶ × 3¹ × 293¹ × 3517¹
LCM(56256,56272) = 197852352