What is the Least Common Multiple of 2608 and 2627?

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 2608 and 2627 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2608 and 2627, than apply into the LCM equation.

GCF(2608,2627) = 1
LCM(2608,2627) = ( 2608 × 2627) / 1
LCM(2608,2627) = 6851216 / 1
LCM(2608,2627) = 6851216

Least Common Multiple (LCM) of 2608 and 2627 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2608 and 2627. First we will calculate the prime factors of 2608 and 2627.

Prime Factorization of 2608

Prime Factorization of 2627

Now multiplying the highest exponent prime factors to calculate the LCM of 2608 and 2627.

LCM(2608,2627) = 2⁴ × 163¹ × 37¹ × 71¹
LCM(2608,2627) = 6851216