What is the Least Common Multiple of 83640 and 83646?

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 83640 and 83646 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83640 and 83646, than apply into the LCM equation.

GCF(83640,83646) = 6
LCM(83640,83646) = ( 83640 × 83646) / 6
LCM(83640,83646) = 6996151440 / 6
LCM(83640,83646) = 1166025240

Least Common Multiple (LCM) of 83640 and 83646 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83640 and 83646. First we will calculate the prime factors of 83640 and 83646.

Prime Factorization of 83640

Prime Factorization of 83646

Now multiplying the highest exponent prime factors to calculate the LCM of 83640 and 83646.

LCM(83640,83646) = 2³ × 3³ × 5¹ × 17¹ × 41¹ × 1549¹
LCM(83640,83646) = 1166025240