What is the Least Common Multiple of 96123 and 96138?

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 96123 and 96138 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96123 and 96138, than apply into the LCM equation.

GCF(96123,96138) = 3
LCM(96123,96138) = ( 96123 × 96138) / 3
LCM(96123,96138) = 9241072974 / 3
LCM(96123,96138) = 3080357658

Least Common Multiple (LCM) of 96123 and 96138 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96123 and 96138. First we will calculate the prime factors of 96123 and 96138.

Prime Factorization of 96123

Prime Factorization of 96138

Now multiplying the highest exponent prime factors to calculate the LCM of 96123 and 96138.

LCM(96123,96138) = 3² × 179² × 2¹ × 7² × 109¹
LCM(96123,96138) = 3080357658