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What is the Least Common Multiple of 31124 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 31124 and 31143 is 969294732.

LCM(31124,31143) = 969294732

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Least Common Multiple of 31124 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 31124 and 31143, than apply into the LCM equation.

GCF(31124,31143) = 1
LCM(31124,31143) = ( 31124 × 31143) / 1
LCM(31124,31143) = 969294732 / 1
LCM(31124,31143) = 969294732

Least Common Multiple (LCM) of 31124 and 31143 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31124 and 31143. First we will calculate the prime factors of 31124 and 31143.

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 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 31124 and 31143.

LCM(31124,31143) = 22 × 311 × 2511 × 31 × 71 × 14831
LCM(31124,31143) = 969294732