What is the Least Common Multiple of 48256 and 48272?

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 48256 and 48272 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48256 and 48272, than apply into the LCM equation.

GCF(48256,48272) = 16
LCM(48256,48272) = ( 48256 × 48272) / 16
LCM(48256,48272) = 2329413632 / 16
LCM(48256,48272) = 145588352

Least Common Multiple (LCM) of 48256 and 48272 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48256 and 48272. First we will calculate the prime factors of 48256 and 48272.

Prime Factorization of 48256

Prime Factorization of 48272

Now multiplying the highest exponent prime factors to calculate the LCM of 48256 and 48272.

LCM(48256,48272) = 2⁷ × 13¹ × 29¹ × 7¹ × 431¹
LCM(48256,48272) = 145588352