What is the Least Common Multiple of 64171 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 64171 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 64171 and 64185, than apply into the LCM equation.

GCF(64171,64185) = 1
LCM(64171,64185) = ( 64171 × 64185) / 1
LCM(64171,64185) = 4118815635 / 1
LCM(64171,64185) = 4118815635

Least Common Multiple (LCM) of 64171 and 64185 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64171 and 64185. First we will calculate the prime factors of 64171 and 64185.

Prime Factorization of 64171

Prime Factorization of 64185

Now multiplying the highest exponent prime factors to calculate the LCM of 64171 and 64185.

LCM(64171,64185) = 64171¹ × 3¹ × 5¹ × 11¹ × 389¹
LCM(64171,64185) = 4118815635