What is the Least Common Multiple of 78660 and 78665?

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 78660 and 78665 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78660 and 78665, than apply into the LCM equation.

GCF(78660,78665) = 5
LCM(78660,78665) = ( 78660 × 78665) / 5
LCM(78660,78665) = 6187788900 / 5
LCM(78660,78665) = 1237557780

Least Common Multiple (LCM) of 78660 and 78665 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78660 and 78665. First we will calculate the prime factors of 78660 and 78665.

Prime Factorization of 78660

Prime Factorization of 78665

Now multiplying the highest exponent prime factors to calculate the LCM of 78660 and 78665.

LCM(78660,78665) = 2² × 3² × 5¹ × 19¹ × 23¹ × 15733¹
LCM(78660,78665) = 1237557780