What is the Least Common Multiple of 9609 and 9629?

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 9609 and 9629 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9609 and 9629, than apply into the LCM equation.

GCF(9609,9629) = 1
LCM(9609,9629) = ( 9609 × 9629) / 1
LCM(9609,9629) = 92525061 / 1
LCM(9609,9629) = 92525061

Least Common Multiple (LCM) of 9609 and 9629 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9609 and 9629. First we will calculate the prime factors of 9609 and 9629.

Prime Factorization of 9609

Prime Factorization of 9629

Now multiplying the highest exponent prime factors to calculate the LCM of 9609 and 9629.

LCM(9609,9629) = 3¹ × 3203¹ × 9629¹
LCM(9609,9629) = 92525061