What is the Least Common Multiple of 47256 and 47269?

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 47256 and 47269 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47256 and 47269, than apply into the LCM equation.

GCF(47256,47269) = 1
LCM(47256,47269) = ( 47256 × 47269) / 1
LCM(47256,47269) = 2233743864 / 1
LCM(47256,47269) = 2233743864

Least Common Multiple (LCM) of 47256 and 47269 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47256 and 47269. First we will calculate the prime factors of 47256 and 47269.

Prime Factorization of 47256

Prime Factorization of 47269

Now multiplying the highest exponent prime factors to calculate the LCM of 47256 and 47269.

LCM(47256,47269) = 2³ × 3¹ × 11¹ × 179¹ × 47269¹
LCM(47256,47269) = 2233743864