What is the Least Common Multiple of 9612 and 9626?

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 9612 and 9626 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9612 and 9626, than apply into the LCM equation.

GCF(9612,9626) = 2
LCM(9612,9626) = ( 9612 × 9626) / 2
LCM(9612,9626) = 92525112 / 2
LCM(9612,9626) = 46262556

Least Common Multiple (LCM) of 9612 and 9626 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9612 and 9626. First we will calculate the prime factors of 9612 and 9626.

Prime Factorization of 9612

Prime Factorization of 9626

Now multiplying the highest exponent prime factors to calculate the LCM of 9612 and 9626.

LCM(9612,9626) = 2² × 3³ × 89¹ × 4813¹
LCM(9612,9626) = 46262556