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What is the Least Common Multiple of 31123 and 31136?

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 31123 and 31136 is 969045728.

LCM(31123,31136) = 969045728

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Least Common Multiple of 31123 and 31136 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31123 and 31136, than apply into the LCM equation.

GCF(31123,31136) = 1
LCM(31123,31136) = ( 31123 × 31136) / 1
LCM(31123,31136) = 969045728 / 1
LCM(31123,31136) = 969045728

Least Common Multiple (LCM) of 31123 and 31136 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31123 and 31136. First we will calculate the prime factors of 31123 and 31136.

Prime Factorization of 31123

Prime factors of 31123 are 31123. Prime factorization of 31123 in exponential form is:

31123 = 311231

Prime Factorization of 31136

Prime factors of 31136 are 2, 7, 139. Prime factorization of 31136 in exponential form is:

31136 = 25 × 71 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 31123 and 31136.

LCM(31123,31136) = 311231 × 25 × 71 × 1391
LCM(31123,31136) = 969045728