What is the Least Common Multiple of 94914 and 94933?

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 94933 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 94933, than apply into the LCM equation.

GCF(94914,94933) = 1
LCM(94914,94933) = ( 94914 × 94933) / 1
LCM(94914,94933) = 9010470762 / 1
LCM(94914,94933) = 9010470762

Least Common Multiple (LCM) of 94914 and 94933 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94914 and 94933. First we will calculate the prime factors of 94914 and 94933.

Prime Factorization of 94914

Prime Factorization of 94933

Now multiplying the highest exponent prime factors to calculate the LCM of 94914 and 94933.

LCM(94914,94933) = 2¹ × 3² × 5273¹ × 94933¹
LCM(94914,94933) = 9010470762