What is the Least Common Multiple of 65660 and 65665?

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 65660 and 65665 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65660 and 65665, than apply into the LCM equation.

GCF(65660,65665) = 5
LCM(65660,65665) = ( 65660 × 65665) / 5
LCM(65660,65665) = 4311563900 / 5
LCM(65660,65665) = 862312780

Least Common Multiple (LCM) of 65660 and 65665 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65660 and 65665. First we will calculate the prime factors of 65660 and 65665.

Prime Factorization of 65660

Prime Factorization of 65665

Now multiplying the highest exponent prime factors to calculate the LCM of 65660 and 65665.

LCM(65660,65665) = 2² × 5¹ × 7² × 67¹ × 23¹ × 571¹
LCM(65660,65665) = 862312780