What is the Least Common Multiple of 23256 and 23261?

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 23256 and 23261 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23256 and 23261, than apply into the LCM equation.

GCF(23256,23261) = 1
LCM(23256,23261) = ( 23256 × 23261) / 1
LCM(23256,23261) = 540957816 / 1
LCM(23256,23261) = 540957816

Least Common Multiple (LCM) of 23256 and 23261 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23256 and 23261. First we will calculate the prime factors of 23256 and 23261.

Prime Factorization of 23256

Prime Factorization of 23261

Now multiplying the highest exponent prime factors to calculate the LCM of 23256 and 23261.

LCM(23256,23261) = 2³ × 3² × 17¹ × 19¹ × 7¹ × 3323¹
LCM(23256,23261) = 540957816