GCF and LCM Calculator Logo

What is the Least Common Multiple of 10597 and 10611?

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 10597 and 10611 is 112444767.

LCM(10597,10611) = 112444767

LCM Calculator and
and

Least Common Multiple of 10597 and 10611 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10597 and 10611, than apply into the LCM equation.

GCF(10597,10611) = 1
LCM(10597,10611) = ( 10597 × 10611) / 1
LCM(10597,10611) = 112444767 / 1
LCM(10597,10611) = 112444767

Least Common Multiple (LCM) of 10597 and 10611 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10597 and 10611. First we will calculate the prime factors of 10597 and 10611.

Prime Factorization of 10597

Prime factors of 10597 are 10597. Prime factorization of 10597 in exponential form is:

10597 = 105971

Prime Factorization of 10611

Prime factors of 10611 are 3, 131. Prime factorization of 10611 in exponential form is:

10611 = 34 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 10597 and 10611.

LCM(10597,10611) = 105971 × 34 × 1311
LCM(10597,10611) = 112444767