What is the Least Common Multiple of 2625 and 2634?

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 2625 and 2634 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2625 and 2634, than apply into the LCM equation.

GCF(2625,2634) = 3
LCM(2625,2634) = ( 2625 × 2634) / 3
LCM(2625,2634) = 6914250 / 3
LCM(2625,2634) = 2304750

Least Common Multiple (LCM) of 2625 and 2634 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2625 and 2634. First we will calculate the prime factors of 2625 and 2634.

Prime Factorization of 2625

Prime Factorization of 2634

Now multiplying the highest exponent prime factors to calculate the LCM of 2625 and 2634.

LCM(2625,2634) = 3¹ × 5³ × 7¹ × 2¹ × 439¹
LCM(2625,2634) = 2304750