What is the Least Common Multiple of 94914 and 94930?

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 94914 and 94930 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94914 and 94930, than apply into the LCM equation.

GCF(94914,94930) = 2
LCM(94914,94930) = ( 94914 × 94930) / 2
LCM(94914,94930) = 9010186020 / 2
LCM(94914,94930) = 4505093010

Least Common Multiple (LCM) of 94914 and 94930 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94914 and 94930. First we will calculate the prime factors of 94914 and 94930.

Prime Factorization of 94914

Prime Factorization of 94930

Now multiplying the highest exponent prime factors to calculate the LCM of 94914 and 94930.

LCM(94914,94930) = 2¹ × 3² × 5273¹ × 5¹ × 11¹ × 863¹
LCM(94914,94930) = 4505093010