GCF and LCM Calculator Logo

What is the Least Common Multiple of 10529 and 10539?

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 10529 and 10539 is 110965131.

LCM(10529,10539) = 110965131

LCM Calculator and
and

Least Common Multiple of 10529 and 10539 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10529 and 10539, than apply into the LCM equation.

GCF(10529,10539) = 1
LCM(10529,10539) = ( 10529 × 10539) / 1
LCM(10529,10539) = 110965131 / 1
LCM(10529,10539) = 110965131

Least Common Multiple (LCM) of 10529 and 10539 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10529 and 10539. First we will calculate the prime factors of 10529 and 10539.

Prime Factorization of 10529

Prime factors of 10529 are 10529. Prime factorization of 10529 in exponential form is:

10529 = 105291

Prime Factorization of 10539

Prime factors of 10539 are 3, 1171. Prime factorization of 10539 in exponential form is:

10539 = 32 × 11711

Now multiplying the highest exponent prime factors to calculate the LCM of 10529 and 10539.

LCM(10529,10539) = 105291 × 32 × 11711
LCM(10529,10539) = 110965131