GCF and LCM Calculator Logo

What is the Least Common Multiple of 31124 and 31140?

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 31124 and 31140 is 242300340.

LCM(31124,31140) = 242300340

LCM Calculator and
and

Least Common Multiple of 31124 and 31140 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31124 and 31140, than apply into the LCM equation.

GCF(31124,31140) = 4
LCM(31124,31140) = ( 31124 × 31140) / 4
LCM(31124,31140) = 969201360 / 4
LCM(31124,31140) = 242300340

Least Common Multiple (LCM) of 31124 and 31140 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31124 and 31140. First we will calculate the prime factors of 31124 and 31140.

Prime Factorization of 31124

Prime factors of 31124 are 2, 31, 251. Prime factorization of 31124 in exponential form is:

31124 = 22 × 311 × 2511

Prime Factorization of 31140

Prime factors of 31140 are 2, 3, 5, 173. Prime factorization of 31140 in exponential form is:

31140 = 22 × 32 × 51 × 1731

Now multiplying the highest exponent prime factors to calculate the LCM of 31124 and 31140.

LCM(31124,31140) = 22 × 311 × 2511 × 32 × 51 × 1731
LCM(31124,31140) = 242300340