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What is the Least Common Multiple of 31032 and 31051?

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 31032 and 31051 is 963574632.

LCM(31032,31051) = 963574632

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Least Common Multiple of 31032 and 31051 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31032 and 31051, than apply into the LCM equation.

GCF(31032,31051) = 1
LCM(31032,31051) = ( 31032 × 31051) / 1
LCM(31032,31051) = 963574632 / 1
LCM(31032,31051) = 963574632

Least Common Multiple (LCM) of 31032 and 31051 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31032 and 31051. First we will calculate the prime factors of 31032 and 31051.

Prime Factorization of 31032

Prime factors of 31032 are 2, 3, 431. Prime factorization of 31032 in exponential form is:

31032 = 23 × 32 × 4311

Prime Factorization of 31051

Prime factors of 31051 are 31051. Prime factorization of 31051 in exponential form is:

31051 = 310511

Now multiplying the highest exponent prime factors to calculate the LCM of 31032 and 31051.

LCM(31032,31051) = 23 × 32 × 4311 × 310511
LCM(31032,31051) = 963574632