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What is the Least Common Multiple of 31124 and 31131?

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 31131 is 968921244.

LCM(31124,31131) = 968921244

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Least Common Multiple of 31124 and 31131 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 31131, than apply into the LCM equation.

GCF(31124,31131) = 1
LCM(31124,31131) = ( 31124 × 31131) / 1
LCM(31124,31131) = 968921244 / 1
LCM(31124,31131) = 968921244

Least Common Multiple (LCM) of 31124 and 31131 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31124 and 31131. First we will calculate the prime factors of 31124 and 31131.

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 31131

Prime factors of 31131 are 3, 1153. Prime factorization of 31131 in exponential form is:

31131 = 33 × 11531

Now multiplying the highest exponent prime factors to calculate the LCM of 31124 and 31131.

LCM(31124,31131) = 22 × 311 × 2511 × 33 × 11531
LCM(31124,31131) = 968921244