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What is the Least Common Multiple of 31033 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 31033 and 31037 is 963171221.

LCM(31033,31037) = 963171221

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Least Common Multiple of 31033 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 31033 and 31037, than apply into the LCM equation.

GCF(31033,31037) = 1
LCM(31033,31037) = ( 31033 × 31037) / 1
LCM(31033,31037) = 963171221 / 1
LCM(31033,31037) = 963171221

Least Common Multiple (LCM) of 31033 and 31037 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31033 and 31037. First we will calculate the prime factors of 31033 and 31037.

Prime Factorization of 31033

Prime factors of 31033 are 31033. Prime factorization of 31033 in exponential form is:

31033 = 310331

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 31033 and 31037.

LCM(31033,31037) = 310331 × 411 × 7571
LCM(31033,31037) = 963171221