What is the Least Common Multiple of 94350 and 94356?

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 94350 and 94356 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94350 and 94356, than apply into the LCM equation.

GCF(94350,94356) = 6
LCM(94350,94356) = ( 94350 × 94356) / 6
LCM(94350,94356) = 8902488600 / 6
LCM(94350,94356) = 1483748100

Least Common Multiple (LCM) of 94350 and 94356 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94350 and 94356. First we will calculate the prime factors of 94350 and 94356.

Prime Factorization of 94350

Prime Factorization of 94356

Now multiplying the highest exponent prime factors to calculate the LCM of 94350 and 94356.

LCM(94350,94356) = 2² × 3² × 5² × 17¹ × 37¹ × 2621¹
LCM(94350,94356) = 1483748100