GCF and LCM Calculator Logo

What is the Least Common Multiple of 31309 and 31321?

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 31309 and 31321 is 980629189.

LCM(31309,31321) = 980629189

LCM Calculator and
and

Least Common Multiple of 31309 and 31321 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31309 and 31321, than apply into the LCM equation.

GCF(31309,31321) = 1
LCM(31309,31321) = ( 31309 × 31321) / 1
LCM(31309,31321) = 980629189 / 1
LCM(31309,31321) = 980629189

Least Common Multiple (LCM) of 31309 and 31321 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31309 and 31321. First we will calculate the prime factors of 31309 and 31321.

Prime Factorization of 31309

Prime factors of 31309 are 131, 239. Prime factorization of 31309 in exponential form is:

31309 = 1311 × 2391

Prime Factorization of 31321

Prime factors of 31321 are 31321. Prime factorization of 31321 in exponential form is:

31321 = 313211

Now multiplying the highest exponent prime factors to calculate the LCM of 31309 and 31321.

LCM(31309,31321) = 1311 × 2391 × 313211
LCM(31309,31321) = 980629189