GCF and LCM Calculator Logo

What is the Least Common Multiple of 12921 and 12937?

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 12921 and 12937 is 167158977.

LCM(12921,12937) = 167158977

LCM Calculator and
and

Least Common Multiple of 12921 and 12937 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12921 and 12937, than apply into the LCM equation.

GCF(12921,12937) = 1
LCM(12921,12937) = ( 12921 × 12937) / 1
LCM(12921,12937) = 167158977 / 1
LCM(12921,12937) = 167158977

Least Common Multiple (LCM) of 12921 and 12937 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12921 and 12937. First we will calculate the prime factors of 12921 and 12937.

Prime Factorization of 12921

Prime factors of 12921 are 3, 59, 73. Prime factorization of 12921 in exponential form is:

12921 = 31 × 591 × 731

Prime Factorization of 12937

Prime factors of 12937 are 17, 761. Prime factorization of 12937 in exponential form is:

12937 = 171 × 7611

Now multiplying the highest exponent prime factors to calculate the LCM of 12921 and 12937.

LCM(12921,12937) = 31 × 591 × 731 × 171 × 7611
LCM(12921,12937) = 167158977