What is the Least Common Multiple of 2674 and 2688?

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 2674 and 2688 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2674 and 2688, than apply into the LCM equation.

GCF(2674,2688) = 14
LCM(2674,2688) = ( 2674 × 2688) / 14
LCM(2674,2688) = 7187712 / 14
LCM(2674,2688) = 513408

Least Common Multiple (LCM) of 2674 and 2688 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2674 and 2688. First we will calculate the prime factors of 2674 and 2688.

Prime Factorization of 2674

Prime Factorization of 2688

Now multiplying the highest exponent prime factors to calculate the LCM of 2674 and 2688.

LCM(2674,2688) = 2⁷ × 7¹ × 191¹ × 3¹
LCM(2674,2688) = 513408