What is the Least Common Multiple of 64165 and 64177?

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 64177 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 64177, than apply into the LCM equation.

GCF(64165,64177) = 1
LCM(64165,64177) = ( 64165 × 64177) / 1
LCM(64165,64177) = 4117917205 / 1
LCM(64165,64177) = 4117917205

Least Common Multiple (LCM) of 64165 and 64177 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64165 and 64177. First we will calculate the prime factors of 64165 and 64177.

Prime Factorization of 64165

Prime Factorization of 64177

Now multiplying the highest exponent prime factors to calculate the LCM of 64165 and 64177.

LCM(64165,64177) = 5¹ × 41¹ × 313¹ × 29¹ × 2213¹
LCM(64165,64177) = 4117917205