GCF and LCM Calculator Logo

What is the Least Common Multiple of 11702 and 11713?

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 11702 and 11713 is 137065526.

LCM(11702,11713) = 137065526

LCM Calculator and
and

Least Common Multiple of 11702 and 11713 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11702 and 11713, than apply into the LCM equation.

GCF(11702,11713) = 1
LCM(11702,11713) = ( 11702 × 11713) / 1
LCM(11702,11713) = 137065526 / 1
LCM(11702,11713) = 137065526

Least Common Multiple (LCM) of 11702 and 11713 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11702 and 11713. First we will calculate the prime factors of 11702 and 11713.

Prime Factorization of 11702

Prime factors of 11702 are 2, 5851. Prime factorization of 11702 in exponential form is:

11702 = 21 × 58511

Prime Factorization of 11713

Prime factors of 11713 are 13, 17, 53. Prime factorization of 11713 in exponential form is:

11713 = 131 × 171 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 11702 and 11713.

LCM(11702,11713) = 21 × 58511 × 131 × 171 × 531
LCM(11702,11713) = 137065526