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What is the Least Common Multiple of 31124 and 31144?

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 31144 is 242331464.

LCM(31124,31144) = 242331464

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Least Common Multiple of 31124 and 31144 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 31144, than apply into the LCM equation.

GCF(31124,31144) = 4
LCM(31124,31144) = ( 31124 × 31144) / 4
LCM(31124,31144) = 969325856 / 4
LCM(31124,31144) = 242331464

Least Common Multiple (LCM) of 31124 and 31144 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31124 and 31144. First we will calculate the prime factors of 31124 and 31144.

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 31144

Prime factors of 31144 are 2, 17, 229. Prime factorization of 31144 in exponential form is:

31144 = 23 × 171 × 2291

Now multiplying the highest exponent prime factors to calculate the LCM of 31124 and 31144.

LCM(31124,31144) = 23 × 311 × 2511 × 171 × 2291
LCM(31124,31144) = 242331464