GCF and LCM Calculator Logo

What is the Least Common Multiple of 12377 and 12393?

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 12377 and 12393 is 153388161.

LCM(12377,12393) = 153388161

LCM Calculator and
and

Least Common Multiple of 12377 and 12393 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12377 and 12393, than apply into the LCM equation.

GCF(12377,12393) = 1
LCM(12377,12393) = ( 12377 × 12393) / 1
LCM(12377,12393) = 153388161 / 1
LCM(12377,12393) = 153388161

Least Common Multiple (LCM) of 12377 and 12393 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12377 and 12393. First we will calculate the prime factors of 12377 and 12393.

Prime Factorization of 12377

Prime factors of 12377 are 12377. Prime factorization of 12377 in exponential form is:

12377 = 123771

Prime Factorization of 12393

Prime factors of 12393 are 3, 17. Prime factorization of 12393 in exponential form is:

12393 = 36 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 12377 and 12393.

LCM(12377,12393) = 123771 × 36 × 171
LCM(12377,12393) = 153388161