GCF and LCM Calculator Logo

What is the Least Common Multiple of 31330 and 31334?

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 31330 and 31334 is 490847110.

LCM(31330,31334) = 490847110

LCM Calculator and
and

Least Common Multiple of 31330 and 31334 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31330 and 31334, than apply into the LCM equation.

GCF(31330,31334) = 2
LCM(31330,31334) = ( 31330 × 31334) / 2
LCM(31330,31334) = 981694220 / 2
LCM(31330,31334) = 490847110

Least Common Multiple (LCM) of 31330 and 31334 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31330 and 31334. First we will calculate the prime factors of 31330 and 31334.

Prime Factorization of 31330

Prime factors of 31330 are 2, 5, 13, 241. Prime factorization of 31330 in exponential form is:

31330 = 21 × 51 × 131 × 2411

Prime Factorization of 31334

Prime factors of 31334 are 2, 15667. Prime factorization of 31334 in exponential form is:

31334 = 21 × 156671

Now multiplying the highest exponent prime factors to calculate the LCM of 31330 and 31334.

LCM(31330,31334) = 21 × 51 × 131 × 2411 × 156671
LCM(31330,31334) = 490847110