GCF and LCM Calculator Logo

What is the Least Common Multiple of 9525 and 9529?

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 9525 and 9529 is 90763725.

LCM(9525,9529) = 90763725

LCM Calculator and
and

Least Common Multiple of 9525 and 9529 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9525 and 9529, than apply into the LCM equation.

GCF(9525,9529) = 1
LCM(9525,9529) = ( 9525 × 9529) / 1
LCM(9525,9529) = 90763725 / 1
LCM(9525,9529) = 90763725

Least Common Multiple (LCM) of 9525 and 9529 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9525 and 9529. First we will calculate the prime factors of 9525 and 9529.

Prime Factorization of 9525

Prime factors of 9525 are 3, 5, 127. Prime factorization of 9525 in exponential form is:

9525 = 31 × 52 × 1271

Prime Factorization of 9529

Prime factors of 9529 are 13, 733. Prime factorization of 9529 in exponential form is:

9529 = 131 × 7331

Now multiplying the highest exponent prime factors to calculate the LCM of 9525 and 9529.

LCM(9525,9529) = 31 × 52 × 1271 × 131 × 7331
LCM(9525,9529) = 90763725