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What is the Least Common Multiple of 31308 and 31321?

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 31308 and 31321 is 980597868.

LCM(31308,31321) = 980597868

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Least Common Multiple of 31308 and 31321 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31308 and 31321, than apply into the LCM equation.

GCF(31308,31321) = 1
LCM(31308,31321) = ( 31308 × 31321) / 1
LCM(31308,31321) = 980597868 / 1
LCM(31308,31321) = 980597868

Least Common Multiple (LCM) of 31308 and 31321 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31308 and 31321. First we will calculate the prime factors of 31308 and 31321.

Prime Factorization of 31308

Prime factors of 31308 are 2, 3, 2609. Prime factorization of 31308 in exponential form is:

31308 = 22 × 31 × 26091

Prime Factorization of 31321

Prime factors of 31321 are 31321. Prime factorization of 31321 in exponential form is:

31321 = 313211

Now multiplying the highest exponent prime factors to calculate the LCM of 31308 and 31321.

LCM(31308,31321) = 22 × 31 × 26091 × 313211
LCM(31308,31321) = 980597868