What is the Least Common Multiple of 52194 and 52200?

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 52194 and 52200 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52194 and 52200, than apply into the LCM equation.

GCF(52194,52200) = 6
LCM(52194,52200) = ( 52194 × 52200) / 6
LCM(52194,52200) = 2724526800 / 6
LCM(52194,52200) = 454087800

Least Common Multiple (LCM) of 52194 and 52200 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52194 and 52200. First we will calculate the prime factors of 52194 and 52200.

Prime Factorization of 52194

Prime Factorization of 52200

Now multiplying the highest exponent prime factors to calculate the LCM of 52194 and 52200.

LCM(52194,52200) = 2³ × 3² × 8699¹ × 5² × 29¹
LCM(52194,52200) = 454087800