What is the Least Common Multiple of 32094 and 32100?

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 32094 and 32100 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32094 and 32100, than apply into the LCM equation.

GCF(32094,32100) = 6
LCM(32094,32100) = ( 32094 × 32100) / 6
LCM(32094,32100) = 1030217400 / 6
LCM(32094,32100) = 171702900

Least Common Multiple (LCM) of 32094 and 32100 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32094 and 32100. First we will calculate the prime factors of 32094 and 32100.

Prime Factorization of 32094

Prime Factorization of 32100

Now multiplying the highest exponent prime factors to calculate the LCM of 32094 and 32100.

LCM(32094,32100) = 2² × 3² × 1783¹ × 5² × 107¹
LCM(32094,32100) = 171702900