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What is the Least Common Multiple of 31023 and 31038?

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 31023 and 31038 is 320963958.

LCM(31023,31038) = 320963958

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Least Common Multiple of 31023 and 31038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31023 and 31038, than apply into the LCM equation.

GCF(31023,31038) = 3
LCM(31023,31038) = ( 31023 × 31038) / 3
LCM(31023,31038) = 962891874 / 3
LCM(31023,31038) = 320963958

Least Common Multiple (LCM) of 31023 and 31038 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31023 and 31038. First we will calculate the prime factors of 31023 and 31038.

Prime Factorization of 31023

Prime factors of 31023 are 3, 383. Prime factorization of 31023 in exponential form is:

31023 = 34 × 3831

Prime Factorization of 31038

Prime factors of 31038 are 2, 3, 7, 739. Prime factorization of 31038 in exponential form is:

31038 = 21 × 31 × 71 × 7391

Now multiplying the highest exponent prime factors to calculate the LCM of 31023 and 31038.

LCM(31023,31038) = 34 × 3831 × 21 × 71 × 7391
LCM(31023,31038) = 320963958