What is the Least Common Multiple of 84180 and 84195?

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 84180 and 84195 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84180 and 84195, than apply into the LCM equation.

GCF(84180,84195) = 15
LCM(84180,84195) = ( 84180 × 84195) / 15
LCM(84180,84195) = 7087535100 / 15
LCM(84180,84195) = 472502340

Least Common Multiple (LCM) of 84180 and 84195 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84180 and 84195. First we will calculate the prime factors of 84180 and 84195.

Prime Factorization of 84180

Prime Factorization of 84195

Now multiplying the highest exponent prime factors to calculate the LCM of 84180 and 84195.

LCM(84180,84195) = 2² × 3² × 5¹ × 23¹ × 61¹ × 1871¹
LCM(84180,84195) = 472502340