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What is the Least Common Multiple of 30904 and 30917?

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 30904 and 30917 is 955458968.

LCM(30904,30917) = 955458968

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Least Common Multiple of 30904 and 30917 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30904 and 30917, than apply into the LCM equation.

GCF(30904,30917) = 1
LCM(30904,30917) = ( 30904 × 30917) / 1
LCM(30904,30917) = 955458968 / 1
LCM(30904,30917) = 955458968

Least Common Multiple (LCM) of 30904 and 30917 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30904 and 30917. First we will calculate the prime factors of 30904 and 30917.

Prime Factorization of 30904

Prime factors of 30904 are 2, 3863. Prime factorization of 30904 in exponential form is:

30904 = 23 × 38631

Prime Factorization of 30917

Prime factors of 30917 are 43, 719. Prime factorization of 30917 in exponential form is:

30917 = 431 × 7191

Now multiplying the highest exponent prime factors to calculate the LCM of 30904 and 30917.

LCM(30904,30917) = 23 × 38631 × 431 × 7191
LCM(30904,30917) = 955458968