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What is the Least Common Multiple of 31236 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 31236 and 31246 is 488000028.

LCM(31236,31246) = 488000028

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Least Common Multiple of 31236 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 31236 and 31246, than apply into the LCM equation.

GCF(31236,31246) = 2
LCM(31236,31246) = ( 31236 × 31246) / 2
LCM(31236,31246) = 976000056 / 2
LCM(31236,31246) = 488000028

Least Common Multiple (LCM) of 31236 and 31246 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31236 and 31246. First we will calculate the prime factors of 31236 and 31246.

Prime Factorization of 31236

Prime factors of 31236 are 2, 3, 19, 137. Prime factorization of 31236 in exponential form is:

31236 = 22 × 31 × 191 × 1371

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 31236 and 31246.

LCM(31236,31246) = 22 × 31 × 191 × 1371 × 171 × 9191
LCM(31236,31246) = 488000028