What is the Least Common Multiple of 94956 and 94961?

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 94956 and 94961 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94956 and 94961, than apply into the LCM equation.

GCF(94956,94961) = 1
LCM(94956,94961) = ( 94956 × 94961) / 1
LCM(94956,94961) = 9017116716 / 1
LCM(94956,94961) = 9017116716

Least Common Multiple (LCM) of 94956 and 94961 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94956 and 94961. First we will calculate the prime factors of 94956 and 94961.

Prime Factorization of 94956

Prime Factorization of 94961

Now multiplying the highest exponent prime factors to calculate the LCM of 94956 and 94961.

LCM(94956,94961) = 2² × 3¹ × 41¹ × 193¹ × 94961¹
LCM(94956,94961) = 9017116716