What is the Least Common Multiple of 96109 and 96123?

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 96109 and 96123 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96109 and 96123, than apply into the LCM equation.

GCF(96109,96123) = 1
LCM(96109,96123) = ( 96109 × 96123) / 1
LCM(96109,96123) = 9238285407 / 1
LCM(96109,96123) = 9238285407

Least Common Multiple (LCM) of 96109 and 96123 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96109 and 96123. First we will calculate the prime factors of 96109 and 96123.

Prime Factorization of 96109

Prime Factorization of 96123

Now multiplying the highest exponent prime factors to calculate the LCM of 96109 and 96123.

LCM(96109,96123) = 13¹ × 7393¹ × 3¹ × 179²
LCM(96109,96123) = 9238285407