What is the Least Common Multiple of 43104 and 43118?

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 43104 and 43118 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43104 and 43118, than apply into the LCM equation.

GCF(43104,43118) = 2
LCM(43104,43118) = ( 43104 × 43118) / 2
LCM(43104,43118) = 1858558272 / 2
LCM(43104,43118) = 929279136

Least Common Multiple (LCM) of 43104 and 43118 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43104 and 43118. First we will calculate the prime factors of 43104 and 43118.

Prime Factorization of 43104

Prime Factorization of 43118

Now multiplying the highest exponent prime factors to calculate the LCM of 43104 and 43118.

LCM(43104,43118) = 2⁵ × 3¹ × 449¹ × 21559¹
LCM(43104,43118) = 929279136