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What is the Least Common Multiple of 31242 and 31256?

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 31242 and 31256 is 488249976.

LCM(31242,31256) = 488249976

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Least Common Multiple of 31242 and 31256 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31242 and 31256, than apply into the LCM equation.

GCF(31242,31256) = 2
LCM(31242,31256) = ( 31242 × 31256) / 2
LCM(31242,31256) = 976499952 / 2
LCM(31242,31256) = 488249976

Least Common Multiple (LCM) of 31242 and 31256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31242 and 31256. First we will calculate the prime factors of 31242 and 31256.

Prime Factorization of 31242

Prime factors of 31242 are 2, 3, 41, 127. Prime factorization of 31242 in exponential form is:

31242 = 21 × 31 × 411 × 1271

Prime Factorization of 31256

Prime factors of 31256 are 2, 3907. Prime factorization of 31256 in exponential form is:

31256 = 23 × 39071

Now multiplying the highest exponent prime factors to calculate the LCM of 31242 and 31256.

LCM(31242,31256) = 23 × 31 × 411 × 1271 × 39071
LCM(31242,31256) = 488249976