What is the Least Common Multiple of 64170 and 64180?

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 64170 and 64180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64170 and 64180, than apply into the LCM equation.

GCF(64170,64180) = 10
LCM(64170,64180) = ( 64170 × 64180) / 10
LCM(64170,64180) = 4118430600 / 10
LCM(64170,64180) = 411843060

Least Common Multiple (LCM) of 64170 and 64180 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64170 and 64180. First we will calculate the prime factors of 64170 and 64180.

Prime Factorization of 64170

Prime Factorization of 64180

Now multiplying the highest exponent prime factors to calculate the LCM of 64170 and 64180.

LCM(64170,64180) = 2² × 3² × 5¹ × 23¹ × 31¹ × 3209¹
LCM(64170,64180) = 411843060