What is the Least Common Multiple of 42256 and 42272?

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 42256 and 42272 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42256 and 42272, than apply into the LCM equation.

GCF(42256,42272) = 16
LCM(42256,42272) = ( 42256 × 42272) / 16
LCM(42256,42272) = 1786245632 / 16
LCM(42256,42272) = 111640352

Least Common Multiple (LCM) of 42256 and 42272 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42256 and 42272. First we will calculate the prime factors of 42256 and 42272.

Prime Factorization of 42256

Prime Factorization of 42272

Now multiplying the highest exponent prime factors to calculate the LCM of 42256 and 42272.

LCM(42256,42272) = 2⁵ × 19¹ × 139¹ × 1321¹
LCM(42256,42272) = 111640352