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What is the Least Common Multiple of 31233 and 31246?

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 31233 and 31246 is 975906318.

LCM(31233,31246) = 975906318

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Least Common Multiple of 31233 and 31246 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31233 and 31246, than apply into the LCM equation.

GCF(31233,31246) = 1
LCM(31233,31246) = ( 31233 × 31246) / 1
LCM(31233,31246) = 975906318 / 1
LCM(31233,31246) = 975906318

Least Common Multiple (LCM) of 31233 and 31246 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31233 and 31246. First we will calculate the prime factors of 31233 and 31246.

Prime Factorization of 31233

Prime factors of 31233 are 3, 29, 359. Prime factorization of 31233 in exponential form is:

31233 = 31 × 291 × 3591

Prime Factorization of 31246

Prime factors of 31246 are 2, 17, 919. Prime factorization of 31246 in exponential form is:

31246 = 21 × 171 × 9191

Now multiplying the highest exponent prime factors to calculate the LCM of 31233 and 31246.

LCM(31233,31246) = 31 × 291 × 3591 × 21 × 171 × 9191
LCM(31233,31246) = 975906318