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What is the Least Common Multiple of 31022 and 31037?

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 31022 and 31037 is 962829814.

LCM(31022,31037) = 962829814

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Least Common Multiple of 31022 and 31037 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31022 and 31037, than apply into the LCM equation.

GCF(31022,31037) = 1
LCM(31022,31037) = ( 31022 × 31037) / 1
LCM(31022,31037) = 962829814 / 1
LCM(31022,31037) = 962829814

Least Common Multiple (LCM) of 31022 and 31037 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31022 and 31037. First we will calculate the prime factors of 31022 and 31037.

Prime Factorization of 31022

Prime factors of 31022 are 2, 15511. Prime factorization of 31022 in exponential form is:

31022 = 21 × 155111

Prime Factorization of 31037

Prime factors of 31037 are 41, 757. Prime factorization of 31037 in exponential form is:

31037 = 411 × 7571

Now multiplying the highest exponent prime factors to calculate the LCM of 31022 and 31037.

LCM(31022,31037) = 21 × 155111 × 411 × 7571
LCM(31022,31037) = 962829814