What is the Least Common Multiple of 96126 and 96144?

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 96126 and 96144 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96126 and 96144, than apply into the LCM equation.

GCF(96126,96144) = 6
LCM(96126,96144) = ( 96126 × 96144) / 6
LCM(96126,96144) = 9241938144 / 6
LCM(96126,96144) = 1540323024

Least Common Multiple (LCM) of 96126 and 96144 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96126 and 96144. First we will calculate the prime factors of 96126 and 96144.

Prime Factorization of 96126

Prime Factorization of 96144

Now multiplying the highest exponent prime factors to calculate the LCM of 96126 and 96144.

LCM(96126,96144) = 2⁴ × 3¹ × 37¹ × 433¹ × 2003¹
LCM(96126,96144) = 1540323024