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What is the Least Common Multiple of 31244 and 31258?

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 31244 and 31258 is 488312476.

LCM(31244,31258) = 488312476

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Least Common Multiple of 31244 and 31258 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31244 and 31258, than apply into the LCM equation.

GCF(31244,31258) = 2
LCM(31244,31258) = ( 31244 × 31258) / 2
LCM(31244,31258) = 976624952 / 2
LCM(31244,31258) = 488312476

Least Common Multiple (LCM) of 31244 and 31258 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31244 and 31258. First we will calculate the prime factors of 31244 and 31258.

Prime Factorization of 31244

Prime factors of 31244 are 2, 73, 107. Prime factorization of 31244 in exponential form is:

31244 = 22 × 731 × 1071

Prime Factorization of 31258

Prime factors of 31258 are 2, 15629. Prime factorization of 31258 in exponential form is:

31258 = 21 × 156291

Now multiplying the highest exponent prime factors to calculate the LCM of 31244 and 31258.

LCM(31244,31258) = 22 × 731 × 1071 × 156291
LCM(31244,31258) = 488312476