What is the Least Common Multiple of 94112 and 94123?

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 94123 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 94123, than apply into the LCM equation.

GCF(94112,94123) = 1
LCM(94112,94123) = ( 94112 × 94123) / 1
LCM(94112,94123) = 8858103776 / 1
LCM(94112,94123) = 8858103776

Least Common Multiple (LCM) of 94112 and 94123 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94112 and 94123. First we will calculate the prime factors of 94112 and 94123.

Prime Factorization of 94112

Prime Factorization of 94123

Now multiplying the highest exponent prime factors to calculate the LCM of 94112 and 94123.

LCM(94112,94123) = 2⁵ × 17¹ × 173¹ × 61¹ × 1543¹
LCM(94112,94123) = 8858103776