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What is the Least Common Multiple of 31238 and 31254?

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 31238 and 31254 is 488156226.

LCM(31238,31254) = 488156226

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Least Common Multiple of 31238 and 31254 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31238 and 31254, than apply into the LCM equation.

GCF(31238,31254) = 2
LCM(31238,31254) = ( 31238 × 31254) / 2
LCM(31238,31254) = 976312452 / 2
LCM(31238,31254) = 488156226

Least Common Multiple (LCM) of 31238 and 31254 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31238 and 31254. First we will calculate the prime factors of 31238 and 31254.

Prime Factorization of 31238

Prime factors of 31238 are 2, 15619. Prime factorization of 31238 in exponential form is:

31238 = 21 × 156191

Prime Factorization of 31254

Prime factors of 31254 are 2, 3, 5209. Prime factorization of 31254 in exponential form is:

31254 = 21 × 31 × 52091

Now multiplying the highest exponent prime factors to calculate the LCM of 31238 and 31254.

LCM(31238,31254) = 21 × 156191 × 31 × 52091
LCM(31238,31254) = 488156226