GCF and LCM Calculator Logo

What is the Least Common Multiple of 11780 and 11797?

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 11780 and 11797 is 138968660.

LCM(11780,11797) = 138968660

LCM Calculator and
and

Least Common Multiple of 11780 and 11797 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11780 and 11797, than apply into the LCM equation.

GCF(11780,11797) = 1
LCM(11780,11797) = ( 11780 × 11797) / 1
LCM(11780,11797) = 138968660 / 1
LCM(11780,11797) = 138968660

Least Common Multiple (LCM) of 11780 and 11797 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11780 and 11797. First we will calculate the prime factors of 11780 and 11797.

Prime Factorization of 11780

Prime factors of 11780 are 2, 5, 19, 31. Prime factorization of 11780 in exponential form is:

11780 = 22 × 51 × 191 × 311

Prime Factorization of 11797

Prime factors of 11797 are 47, 251. Prime factorization of 11797 in exponential form is:

11797 = 471 × 2511

Now multiplying the highest exponent prime factors to calculate the LCM of 11780 and 11797.

LCM(11780,11797) = 22 × 51 × 191 × 311 × 471 × 2511
LCM(11780,11797) = 138968660