GCF and LCM Calculator Logo

What is the Least Common Multiple of 11973 and 11989?

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 11973 and 11989 is 143544297.

LCM(11973,11989) = 143544297

LCM Calculator and
and

Least Common Multiple of 11973 and 11989 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11973 and 11989, than apply into the LCM equation.

GCF(11973,11989) = 1
LCM(11973,11989) = ( 11973 × 11989) / 1
LCM(11973,11989) = 143544297 / 1
LCM(11973,11989) = 143544297

Least Common Multiple (LCM) of 11973 and 11989 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11973 and 11989. First we will calculate the prime factors of 11973 and 11989.

Prime Factorization of 11973

Prime factors of 11973 are 3, 13, 307. Prime factorization of 11973 in exponential form is:

11973 = 31 × 131 × 3071

Prime Factorization of 11989

Prime factors of 11989 are 19, 631. Prime factorization of 11989 in exponential form is:

11989 = 191 × 6311

Now multiplying the highest exponent prime factors to calculate the LCM of 11973 and 11989.

LCM(11973,11989) = 31 × 131 × 3071 × 191 × 6311
LCM(11973,11989) = 143544297