GCF and LCM Calculator Logo

What is the Least Common Multiple of 10517 and 10527?

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 10517 and 10527 is 110712459.

LCM(10517,10527) = 110712459

LCM Calculator and
and

Least Common Multiple of 10517 and 10527 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10517 and 10527, than apply into the LCM equation.

GCF(10517,10527) = 1
LCM(10517,10527) = ( 10517 × 10527) / 1
LCM(10517,10527) = 110712459 / 1
LCM(10517,10527) = 110712459

Least Common Multiple (LCM) of 10517 and 10527 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10517 and 10527. First we will calculate the prime factors of 10517 and 10527.

Prime Factorization of 10517

Prime factors of 10517 are 13, 809. Prime factorization of 10517 in exponential form is:

10517 = 131 × 8091

Prime Factorization of 10527

Prime factors of 10527 are 3, 11, 29. Prime factorization of 10527 in exponential form is:

10527 = 31 × 112 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 10517 and 10527.

LCM(10517,10527) = 131 × 8091 × 31 × 112 × 291
LCM(10517,10527) = 110712459