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What is the Least Common Multiple of 30863 and 30873?

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 30863 and 30873 is 952833399.

LCM(30863,30873) = 952833399

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Least Common Multiple of 30863 and 30873 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30863 and 30873, than apply into the LCM equation.

GCF(30863,30873) = 1
LCM(30863,30873) = ( 30863 × 30873) / 1
LCM(30863,30873) = 952833399 / 1
LCM(30863,30873) = 952833399

Least Common Multiple (LCM) of 30863 and 30873 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30863 and 30873. First we will calculate the prime factors of 30863 and 30873.

Prime Factorization of 30863

Prime factors of 30863 are 7, 4409. Prime factorization of 30863 in exponential form is:

30863 = 71 × 44091

Prime Factorization of 30873

Prime factors of 30873 are 3, 41, 251. Prime factorization of 30873 in exponential form is:

30873 = 31 × 411 × 2511

Now multiplying the highest exponent prime factors to calculate the LCM of 30863 and 30873.

LCM(30863,30873) = 71 × 44091 × 31 × 411 × 2511
LCM(30863,30873) = 952833399