What is the Least Common Multiple of 64165 and 64171?

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 64165 and 64171 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64165 and 64171, than apply into the LCM equation.

GCF(64165,64171) = 1
LCM(64165,64171) = ( 64165 × 64171) / 1
LCM(64165,64171) = 4117532215 / 1
LCM(64165,64171) = 4117532215

Least Common Multiple (LCM) of 64165 and 64171 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64165 and 64171. First we will calculate the prime factors of 64165 and 64171.

Prime Factorization of 64165

Prime Factorization of 64171

Now multiplying the highest exponent prime factors to calculate the LCM of 64165 and 64171.

LCM(64165,64171) = 5¹ × 41¹ × 313¹ × 64171¹
LCM(64165,64171) = 4117532215