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What is the Least Common Multiple of 31292 and 31298?

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 31292 and 31298 is 489688508.

LCM(31292,31298) = 489688508

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Least Common Multiple of 31292 and 31298 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31292 and 31298, than apply into the LCM equation.

GCF(31292,31298) = 2
LCM(31292,31298) = ( 31292 × 31298) / 2
LCM(31292,31298) = 979377016 / 2
LCM(31292,31298) = 489688508

Least Common Multiple (LCM) of 31292 and 31298 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31292 and 31298. First we will calculate the prime factors of 31292 and 31298.

Prime Factorization of 31292

Prime factors of 31292 are 2, 7823. Prime factorization of 31292 in exponential form is:

31292 = 22 × 78231

Prime Factorization of 31298

Prime factors of 31298 are 2, 15649. Prime factorization of 31298 in exponential form is:

31298 = 21 × 156491

Now multiplying the highest exponent prime factors to calculate the LCM of 31292 and 31298.

LCM(31292,31298) = 22 × 78231 × 156491
LCM(31292,31298) = 489688508