What is the Least Common Multiple of 18195 and 18200?

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 18195 and 18200 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18195 and 18200, than apply into the LCM equation.

GCF(18195,18200) = 5
LCM(18195,18200) = ( 18195 × 18200) / 5
LCM(18195,18200) = 331149000 / 5
LCM(18195,18200) = 66229800

Least Common Multiple (LCM) of 18195 and 18200 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18195 and 18200. First we will calculate the prime factors of 18195 and 18200.

Prime Factorization of 18195

Prime Factorization of 18200

Now multiplying the highest exponent prime factors to calculate the LCM of 18195 and 18200.

LCM(18195,18200) = 3¹ × 5² × 1213¹ × 2³ × 7¹ × 13¹
LCM(18195,18200) = 66229800