What is the Least Common Multiple of 2654 and 2674?

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 2654 and 2674 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2654 and 2674, than apply into the LCM equation.

GCF(2654,2674) = 2
LCM(2654,2674) = ( 2654 × 2674) / 2
LCM(2654,2674) = 7096796 / 2
LCM(2654,2674) = 3548398

Least Common Multiple (LCM) of 2654 and 2674 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2654 and 2674. First we will calculate the prime factors of 2654 and 2674.

Prime Factorization of 2654

Prime Factorization of 2674

Now multiplying the highest exponent prime factors to calculate the LCM of 2654 and 2674.

LCM(2654,2674) = 2¹ × 1327¹ × 7¹ × 191¹
LCM(2654,2674) = 3548398