What is the Least Common Multiple of 94596 and 94600?

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 94600 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 94600, than apply into the LCM equation.

GCF(94596,94600) = 4
LCM(94596,94600) = ( 94596 × 94600) / 4
LCM(94596,94600) = 8948781600 / 4
LCM(94596,94600) = 2237195400

Least Common Multiple (LCM) of 94596 and 94600 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94596 and 94600. First we will calculate the prime factors of 94596 and 94600.

Prime Factorization of 94596

Prime Factorization of 94600

Now multiplying the highest exponent prime factors to calculate the LCM of 94596 and 94600.

LCM(94596,94600) = 2³ × 3¹ × 7883¹ × 5² × 11¹ × 43¹
LCM(94596,94600) = 2237195400