GCF and LCM Calculator Logo

What is the Least Common Multiple of 31133 and 31147?

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 31133 and 31147 is 969699551.

LCM(31133,31147) = 969699551

LCM Calculator and
and

Least Common Multiple of 31133 and 31147 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31133 and 31147, than apply into the LCM equation.

GCF(31133,31147) = 1
LCM(31133,31147) = ( 31133 × 31147) / 1
LCM(31133,31147) = 969699551 / 1
LCM(31133,31147) = 969699551

Least Common Multiple (LCM) of 31133 and 31147 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31133 and 31147. First we will calculate the prime factors of 31133 and 31147.

Prime Factorization of 31133

Prime factors of 31133 are 163, 191. Prime factorization of 31133 in exponential form is:

31133 = 1631 × 1911

Prime Factorization of 31147

Prime factors of 31147 are 31147. Prime factorization of 31147 in exponential form is:

31147 = 311471

Now multiplying the highest exponent prime factors to calculate the LCM of 31133 and 31147.

LCM(31133,31147) = 1631 × 1911 × 311471
LCM(31133,31147) = 969699551