What is the Least Common Multiple of 94491 and 94499?

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 94491 and 94499 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94491 and 94499, than apply into the LCM equation.

GCF(94491,94499) = 1
LCM(94491,94499) = ( 94491 × 94499) / 1
LCM(94491,94499) = 8929305009 / 1
LCM(94491,94499) = 8929305009

Least Common Multiple (LCM) of 94491 and 94499 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94491 and 94499. First we will calculate the prime factors of 94491 and 94499.

Prime Factorization of 94491

Prime Factorization of 94499

Now multiplying the highest exponent prime factors to calculate the LCM of 94491 and 94499.

LCM(94491,94499) = 3² × 10499¹ × 53¹ × 1783¹
LCM(94491,94499) = 8929305009