What is the Least Common Multiple of 2609 and 2625?

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 2609 and 2625 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2609 and 2625, than apply into the LCM equation.

GCF(2609,2625) = 1
LCM(2609,2625) = ( 2609 × 2625) / 1
LCM(2609,2625) = 6848625 / 1
LCM(2609,2625) = 6848625

Least Common Multiple (LCM) of 2609 and 2625 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2609 and 2625. First we will calculate the prime factors of 2609 and 2625.

Prime Factorization of 2609

Prime Factorization of 2625

Now multiplying the highest exponent prime factors to calculate the LCM of 2609 and 2625.

LCM(2609,2625) = 2609¹ × 3¹ × 5³ × 7¹
LCM(2609,2625) = 6848625