What is the Least Common Multiple of 94120 and 94133?

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 94120 and 94133 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94120 and 94133, than apply into the LCM equation.

GCF(94120,94133) = 13
LCM(94120,94133) = ( 94120 × 94133) / 13
LCM(94120,94133) = 8859797960 / 13
LCM(94120,94133) = 681522920

Least Common Multiple (LCM) of 94120 and 94133 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94120 and 94133. First we will calculate the prime factors of 94120 and 94133.

Prime Factorization of 94120

Prime Factorization of 94133

Now multiplying the highest exponent prime factors to calculate the LCM of 94120 and 94133.

LCM(94120,94133) = 2³ × 5¹ × 13² × 181¹ × 557¹
LCM(94120,94133) = 681522920