GCF and LCM Calculator Logo

What is the Least Common Multiple of 11713 and 11732?

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 11713 and 11732 is 137416916.

LCM(11713,11732) = 137416916

LCM Calculator and
and

Least Common Multiple of 11713 and 11732 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11713 and 11732, than apply into the LCM equation.

GCF(11713,11732) = 1
LCM(11713,11732) = ( 11713 × 11732) / 1
LCM(11713,11732) = 137416916 / 1
LCM(11713,11732) = 137416916

Least Common Multiple (LCM) of 11713 and 11732 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11713 and 11732. First we will calculate the prime factors of 11713 and 11732.

Prime Factorization of 11713

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

11713 = 131 × 171 × 531

Prime Factorization of 11732

Prime factors of 11732 are 2, 7, 419. Prime factorization of 11732 in exponential form is:

11732 = 22 × 71 × 4191

Now multiplying the highest exponent prime factors to calculate the LCM of 11713 and 11732.

LCM(11713,11732) = 131 × 171 × 531 × 22 × 71 × 4191
LCM(11713,11732) = 137416916