What is the Least Common Multiple of 2660 and 2678?

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 2660 and 2678 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2660 and 2678, than apply into the LCM equation.

GCF(2660,2678) = 2
LCM(2660,2678) = ( 2660 × 2678) / 2
LCM(2660,2678) = 7123480 / 2
LCM(2660,2678) = 3561740

Least Common Multiple (LCM) of 2660 and 2678 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2660 and 2678. First we will calculate the prime factors of 2660 and 2678.

Prime Factorization of 2660

Prime Factorization of 2678

Now multiplying the highest exponent prime factors to calculate the LCM of 2660 and 2678.

LCM(2660,2678) = 2² × 5¹ × 7¹ × 19¹ × 13¹ × 103¹
LCM(2660,2678) = 3561740