What is the Least Common Multiple of 94344 and 94350?

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 94344 and 94350 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94344 and 94350, than apply into the LCM equation.

GCF(94344,94350) = 6
LCM(94344,94350) = ( 94344 × 94350) / 6
LCM(94344,94350) = 8901356400 / 6
LCM(94344,94350) = 1483559400

Least Common Multiple (LCM) of 94344 and 94350 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94344 and 94350. First we will calculate the prime factors of 94344 and 94350.

Prime Factorization of 94344

Prime Factorization of 94350

Now multiplying the highest exponent prime factors to calculate the LCM of 94344 and 94350.

LCM(94344,94350) = 2³ × 3¹ × 3931¹ × 5² × 17¹ × 37¹
LCM(94344,94350) = 1483559400