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What is the Least Common Multiple of 31032 and 31043?

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 31043 is 963326376.

LCM(31032,31043) = 963326376

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Least Common Multiple of 31032 and 31043 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 31043, than apply into the LCM equation.

GCF(31032,31043) = 1
LCM(31032,31043) = ( 31032 × 31043) / 1
LCM(31032,31043) = 963326376 / 1
LCM(31032,31043) = 963326376

Least Common Multiple (LCM) of 31032 and 31043 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31032 and 31043. First we will calculate the prime factors of 31032 and 31043.

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 31043

Prime factors of 31043 are 37, 839. Prime factorization of 31043 in exponential form is:

31043 = 371 × 8391

Now multiplying the highest exponent prime factors to calculate the LCM of 31032 and 31043.

LCM(31032,31043) = 23 × 32 × 4311 × 371 × 8391
LCM(31032,31043) = 963326376