GCF and LCM Calculator Logo

What is the Least Common Multiple of 9627 and 9633?

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 (LCM) of 9627 and 9633 is 30912297.

LCM(9627,9633) = 30912297

LCM Calculator and
and

Least Common Multiple of 9627 and 9633 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9627 and 9633, than apply into the LCM equation.

GCF(9627,9633) = 3
LCM(9627,9633) = ( 9627 × 9633) / 3
LCM(9627,9633) = 92736891 / 3
LCM(9627,9633) = 30912297

Least Common Multiple (LCM) of 9627 and 9633 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9627 and 9633. First we will calculate the prime factors of 9627 and 9633.

Prime Factorization of 9627

Prime factors of 9627 are 3, 3209. Prime factorization of 9627 in exponential form is:

9627 = 31 × 32091

Prime Factorization of 9633

Prime factors of 9633 are 3, 13, 19. Prime factorization of 9633 in exponential form is:

9633 = 31 × 132 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 9627 and 9633.

LCM(9627,9633) = 31 × 32091 × 132 × 191
LCM(9627,9633) = 30912297