What is the Least Common Multiple of 94596 and 94609?

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 94596 and 94609 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94596 and 94609, than apply into the LCM equation.

GCF(94596,94609) = 1
LCM(94596,94609) = ( 94596 × 94609) / 1
LCM(94596,94609) = 8949632964 / 1
LCM(94596,94609) = 8949632964

Least Common Multiple (LCM) of 94596 and 94609 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94596 and 94609. First we will calculate the prime factors of 94596 and 94609.

Prime Factorization of 94596

Prime Factorization of 94609

Now multiplying the highest exponent prime factors to calculate the LCM of 94596 and 94609.

LCM(94596,94609) = 2² × 3¹ × 7883¹ × 37¹ × 2557¹
LCM(94596,94609) = 8949632964