What is the Least Common Multiple of 23256 and 23269?

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 23269 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 23269, than apply into the LCM equation.

GCF(23256,23269) = 1
LCM(23256,23269) = ( 23256 × 23269) / 1
LCM(23256,23269) = 541143864 / 1
LCM(23256,23269) = 541143864

Least Common Multiple (LCM) of 23256 and 23269 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23256 and 23269. First we will calculate the prime factors of 23256 and 23269.

Prime Factorization of 23256

Prime Factorization of 23269

Now multiplying the highest exponent prime factors to calculate the LCM of 23256 and 23269.

LCM(23256,23269) = 2³ × 3² × 17¹ × 19¹ × 23269¹
LCM(23256,23269) = 541143864