What is the Least Common Multiple of 2609 and 2626?

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 2626 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 2626, than apply into the LCM equation.

GCF(2609,2626) = 1
LCM(2609,2626) = ( 2609 × 2626) / 1
LCM(2609,2626) = 6851234 / 1
LCM(2609,2626) = 6851234

Least Common Multiple (LCM) of 2609 and 2626 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2609 and 2626. First we will calculate the prime factors of 2609 and 2626.

Prime Factorization of 2609

Prime Factorization of 2626

Now multiplying the highest exponent prime factors to calculate the LCM of 2609 and 2626.

LCM(2609,2626) = 2609¹ × 2¹ × 13¹ × 101¹
LCM(2609,2626) = 6851234