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What is the Least Common Multiple of 31263 and 31283?

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 31263 and 31283 is 978000429.

LCM(31263,31283) = 978000429

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Least Common Multiple of 31263 and 31283 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31263 and 31283, than apply into the LCM equation.

GCF(31263,31283) = 1
LCM(31263,31283) = ( 31263 × 31283) / 1
LCM(31263,31283) = 978000429 / 1
LCM(31263,31283) = 978000429

Least Common Multiple (LCM) of 31263 and 31283 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31263 and 31283. First we will calculate the prime factors of 31263 and 31283.

Prime Factorization of 31263

Prime factors of 31263 are 3, 17, 613. Prime factorization of 31263 in exponential form is:

31263 = 31 × 171 × 6131

Prime Factorization of 31283

Prime factors of 31283 are 7, 41, 109. Prime factorization of 31283 in exponential form is:

31283 = 71 × 411 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 31263 and 31283.

LCM(31263,31283) = 31 × 171 × 6131 × 71 × 411 × 1091
LCM(31263,31283) = 978000429