What is the Least Common Multiple of 94112 and 94119?

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 94112 and 94119 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94112 and 94119, than apply into the LCM equation.

GCF(94112,94119) = 1
LCM(94112,94119) = ( 94112 × 94119) / 1
LCM(94112,94119) = 8857727328 / 1
LCM(94112,94119) = 8857727328

Least Common Multiple (LCM) of 94112 and 94119 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94112 and 94119. First we will calculate the prime factors of 94112 and 94119.

Prime Factorization of 94112

Prime Factorization of 94119

Now multiplying the highest exponent prime factors to calculate the LCM of 94112 and 94119.

LCM(94112,94119) = 2⁵ × 17¹ × 173¹ × 3¹ × 137¹ × 229¹
LCM(94112,94119) = 8857727328