What is the Least Common Multiple of 9612 and 9632?

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 9632 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 9632, than apply into the LCM equation.

GCF(9612,9632) = 4
LCM(9612,9632) = ( 9612 × 9632) / 4
LCM(9612,9632) = 92582784 / 4
LCM(9612,9632) = 23145696

Least Common Multiple (LCM) of 9612 and 9632 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9612 and 9632. First we will calculate the prime factors of 9612 and 9632.

Prime Factorization of 9612

Prime Factorization of 9632

Now multiplying the highest exponent prime factors to calculate the LCM of 9612 and 9632.

LCM(9612,9632) = 2⁵ × 3³ × 89¹ × 7¹ × 43¹
LCM(9612,9632) = 23145696