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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 (LCM) of 9609 and 9629 is 92525061.

LCM(9609,9629) = 92525061

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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 factors of 9609 are 3, 3203. Prime factorization of 9609 in exponential form is:

9609 = 31 × 32031

Prime Factorization of 9629

Prime factors of 9629 are 9629. Prime factorization of 9629 in exponential form is:

9629 = 96291

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