What is the Least Common Multiple of 60256 and 60272?

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 60256 and 60272 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60256 and 60272, than apply into the LCM equation.

GCF(60256,60272) = 16
LCM(60256,60272) = ( 60256 × 60272) / 16
LCM(60256,60272) = 3631749632 / 16
LCM(60256,60272) = 226984352

Least Common Multiple (LCM) of 60256 and 60272 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60256 and 60272. First we will calculate the prime factors of 60256 and 60272.

Prime Factorization of 60256

Prime Factorization of 60272

Now multiplying the highest exponent prime factors to calculate the LCM of 60256 and 60272.

LCM(60256,60272) = 2⁵ × 7¹ × 269¹ × 3767¹
LCM(60256,60272) = 226984352