What is the Least Common Multiple of 66180 and 66200?

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 66180 and 66200 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66180 and 66200, than apply into the LCM equation.

GCF(66180,66200) = 20
LCM(66180,66200) = ( 66180 × 66200) / 20
LCM(66180,66200) = 4381116000 / 20
LCM(66180,66200) = 219055800

Least Common Multiple (LCM) of 66180 and 66200 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66180 and 66200. First we will calculate the prime factors of 66180 and 66200.

Prime Factorization of 66180

Prime Factorization of 66200

Now multiplying the highest exponent prime factors to calculate the LCM of 66180 and 66200.

LCM(66180,66200) = 2³ × 3¹ × 5² × 1103¹ × 331¹
LCM(66180,66200) = 219055800