What is the Least Common Multiple of 83660 and 83665?

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 83660 and 83665 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83660 and 83665, than apply into the LCM equation.

GCF(83660,83665) = 5
LCM(83660,83665) = ( 83660 × 83665) / 5
LCM(83660,83665) = 6999413900 / 5
LCM(83660,83665) = 1399882780

Least Common Multiple (LCM) of 83660 and 83665 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83660 and 83665. First we will calculate the prime factors of 83660 and 83665.

Prime Factorization of 83660

Prime Factorization of 83665

Now multiplying the highest exponent prime factors to calculate the LCM of 83660 and 83665.

LCM(83660,83665) = 2² × 5¹ × 47¹ × 89¹ × 29¹ × 577¹
LCM(83660,83665) = 1399882780