What is the Least Common Multiple of 94401 and 94416?

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 94401 and 94416 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94401 and 94416, than apply into the LCM equation.

GCF(94401,94416) = 3
LCM(94401,94416) = ( 94401 × 94416) / 3
LCM(94401,94416) = 8912964816 / 3
LCM(94401,94416) = 2970988272

Least Common Multiple (LCM) of 94401 and 94416 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94401 and 94416. First we will calculate the prime factors of 94401 and 94416.

Prime Factorization of 94401

Prime Factorization of 94416

Now multiplying the highest exponent prime factors to calculate the LCM of 94401 and 94416.

LCM(94401,94416) = 3² × 17¹ × 617¹ × 2⁴ × 7¹ × 281¹
LCM(94401,94416) = 2970988272