What is the Least Common Multiple of 43096 and 43114?

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 43096 and 43114 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43096 and 43114, than apply into the LCM equation.

GCF(43096,43114) = 2
LCM(43096,43114) = ( 43096 × 43114) / 2
LCM(43096,43114) = 1858040944 / 2
LCM(43096,43114) = 929020472

Least Common Multiple (LCM) of 43096 and 43114 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43096 and 43114. First we will calculate the prime factors of 43096 and 43114.

Prime Factorization of 43096

Prime Factorization of 43114

Now multiplying the highest exponent prime factors to calculate the LCM of 43096 and 43114.

LCM(43096,43114) = 2³ × 5387¹ × 21557¹
LCM(43096,43114) = 929020472