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What is the Least Common Multiple of 31123 and 31143?

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 31143 is 969263589.

LCM(31123,31143) = 969263589

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Least Common Multiple of 31123 and 31143 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 31143, than apply into the LCM equation.

GCF(31123,31143) = 1
LCM(31123,31143) = ( 31123 × 31143) / 1
LCM(31123,31143) = 969263589 / 1
LCM(31123,31143) = 969263589

Least Common Multiple (LCM) of 31123 and 31143 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31123 and 31143. First we will calculate the prime factors of 31123 and 31143.

Prime Factorization of 31123

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

31123 = 311231

Prime Factorization of 31143

Prime factors of 31143 are 3, 7, 1483. Prime factorization of 31143 in exponential form is:

31143 = 31 × 71 × 14831

Now multiplying the highest exponent prime factors to calculate the LCM of 31123 and 31143.

LCM(31123,31143) = 311231 × 31 × 71 × 14831
LCM(31123,31143) = 969263589