What is the Least Common Multiple of 54189 and 54200?

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 54189 and 54200 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54189 and 54200, than apply into the LCM equation.

GCF(54189,54200) = 1
LCM(54189,54200) = ( 54189 × 54200) / 1
LCM(54189,54200) = 2937043800 / 1
LCM(54189,54200) = 2937043800

Least Common Multiple (LCM) of 54189 and 54200 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54189 and 54200. First we will calculate the prime factors of 54189 and 54200.

Prime Factorization of 54189

Prime Factorization of 54200

Now multiplying the highest exponent prime factors to calculate the LCM of 54189 and 54200.

LCM(54189,54200) = 3⁵ × 223¹ × 2³ × 5² × 271¹
LCM(54189,54200) = 2937043800