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What is the Least Common Multiple of 31069 and 31087?

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 31069 and 31087 is 965842003.

LCM(31069,31087) = 965842003

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Least Common Multiple of 31069 and 31087 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31069 and 31087, than apply into the LCM equation.

GCF(31069,31087) = 1
LCM(31069,31087) = ( 31069 × 31087) / 1
LCM(31069,31087) = 965842003 / 1
LCM(31069,31087) = 965842003

Least Common Multiple (LCM) of 31069 and 31087 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31069 and 31087. First we will calculate the prime factors of 31069 and 31087.

Prime Factorization of 31069

Prime factors of 31069 are 31069. Prime factorization of 31069 in exponential form is:

31069 = 310691

Prime Factorization of 31087

Prime factors of 31087 are 7, 4441. Prime factorization of 31087 in exponential form is:

31087 = 71 × 44411

Now multiplying the highest exponent prime factors to calculate the LCM of 31069 and 31087.

LCM(31069,31087) = 310691 × 71 × 44411
LCM(31069,31087) = 965842003