What is the Least Common Multiple of 55185 and 55200?

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 55185 and 55200 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55185 and 55200, than apply into the LCM equation.

GCF(55185,55200) = 15
LCM(55185,55200) = ( 55185 × 55200) / 15
LCM(55185,55200) = 3046212000 / 15
LCM(55185,55200) = 203080800

Least Common Multiple (LCM) of 55185 and 55200 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55185 and 55200. First we will calculate the prime factors of 55185 and 55200.

Prime Factorization of 55185

Prime Factorization of 55200

Now multiplying the highest exponent prime factors to calculate the LCM of 55185 and 55200.

LCM(55185,55200) = 3¹ × 5² × 13¹ × 283¹ × 2⁵ × 23¹
LCM(55185,55200) = 203080800