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What is the Least Common Multiple of 31274 and 31292?

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 31274 and 31292 is 489313004.

LCM(31274,31292) = 489313004

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Least Common Multiple of 31274 and 31292 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31274 and 31292, than apply into the LCM equation.

GCF(31274,31292) = 2
LCM(31274,31292) = ( 31274 × 31292) / 2
LCM(31274,31292) = 978626008 / 2
LCM(31274,31292) = 489313004

Least Common Multiple (LCM) of 31274 and 31292 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31274 and 31292. First we will calculate the prime factors of 31274 and 31292.

Prime Factorization of 31274

Prime factors of 31274 are 2, 19, 823. Prime factorization of 31274 in exponential form is:

31274 = 21 × 191 × 8231

Prime Factorization of 31292

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

31292 = 22 × 78231

Now multiplying the highest exponent prime factors to calculate the LCM of 31274 and 31292.

LCM(31274,31292) = 22 × 191 × 8231 × 78231
LCM(31274,31292) = 489313004