GCF and LCM Calculator Logo

What is the Least Common Multiple of 9625 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 9625 and 9629 is 92679125.

LCM(9625,9629) = 92679125

LCM Calculator and
and

Least Common Multiple of 9625 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 9625 and 9629, than apply into the LCM equation.

GCF(9625,9629) = 1
LCM(9625,9629) = ( 9625 × 9629) / 1
LCM(9625,9629) = 92679125 / 1
LCM(9625,9629) = 92679125

Least Common Multiple (LCM) of 9625 and 9629 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9625 and 9629. First we will calculate the prime factors of 9625 and 9629.

Prime Factorization of 9625

Prime factors of 9625 are 5, 7, 11. Prime factorization of 9625 in exponential form is:

9625 = 53 × 71 × 111

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 9625 and 9629.

LCM(9625,9629) = 53 × 71 × 111 × 96291
LCM(9625,9629) = 92679125