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What is the Least Common Multiple of 31257 and 31268?

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 31257 and 31268 is 977343876.

LCM(31257,31268) = 977343876

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Least Common Multiple of 31257 and 31268 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31257 and 31268, than apply into the LCM equation.

GCF(31257,31268) = 1
LCM(31257,31268) = ( 31257 × 31268) / 1
LCM(31257,31268) = 977343876 / 1
LCM(31257,31268) = 977343876

Least Common Multiple (LCM) of 31257 and 31268 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31257 and 31268. First we will calculate the prime factors of 31257 and 31268.

Prime Factorization of 31257

Prime factors of 31257 are 3, 23, 151. Prime factorization of 31257 in exponential form is:

31257 = 32 × 231 × 1511

Prime Factorization of 31268

Prime factors of 31268 are 2, 7817. Prime factorization of 31268 in exponential form is:

31268 = 22 × 78171

Now multiplying the highest exponent prime factors to calculate the LCM of 31257 and 31268.

LCM(31257,31268) = 32 × 231 × 1511 × 22 × 78171
LCM(31257,31268) = 977343876