What is the Least Common Multiple of 48189 and 48200?

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 48189 and 48200 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48189 and 48200, than apply into the LCM equation.

GCF(48189,48200) = 1
LCM(48189,48200) = ( 48189 × 48200) / 1
LCM(48189,48200) = 2322709800 / 1
LCM(48189,48200) = 2322709800

Least Common Multiple (LCM) of 48189 and 48200 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48189 and 48200. First we will calculate the prime factors of 48189 and 48200.

Prime Factorization of 48189

Prime Factorization of 48200

Now multiplying the highest exponent prime factors to calculate the LCM of 48189 and 48200.

LCM(48189,48200) = 3¹ × 16063¹ × 2³ × 5² × 241¹
LCM(48189,48200) = 2322709800