What is the Least Common Multiple of 64170 and 64185?

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 64185 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 64185, than apply into the LCM equation.

GCF(64170,64185) = 15
LCM(64170,64185) = ( 64170 × 64185) / 15
LCM(64170,64185) = 4118751450 / 15
LCM(64170,64185) = 274583430

Least Common Multiple (LCM) of 64170 and 64185 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64170 and 64185. First we will calculate the prime factors of 64170 and 64185.

Prime Factorization of 64170

Prime Factorization of 64185

Now multiplying the highest exponent prime factors to calculate the LCM of 64170 and 64185.

LCM(64170,64185) = 2¹ × 3² × 5¹ × 23¹ × 31¹ × 11¹ × 389¹
LCM(64170,64185) = 274583430