What is the Least Common Multiple of 94072 and 94088?

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 94072 and 94088 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94072 and 94088, than apply into the LCM equation.

GCF(94072,94088) = 8
LCM(94072,94088) = ( 94072 × 94088) / 8
LCM(94072,94088) = 8851046336 / 8
LCM(94072,94088) = 1106380792

Least Common Multiple (LCM) of 94072 and 94088 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94072 and 94088. First we will calculate the prime factors of 94072 and 94088.

Prime Factorization of 94072

Prime Factorization of 94088

Now multiplying the highest exponent prime factors to calculate the LCM of 94072 and 94088.

LCM(94072,94088) = 2³ × 11¹ × 1069¹ × 19¹ × 619¹
LCM(94072,94088) = 1106380792