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What is the Least Common Multiple of 30398 and 30404?

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 30398 and 30404 is 462110396.

LCM(30398,30404) = 462110396

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Least Common Multiple of 30398 and 30404 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30398 and 30404, than apply into the LCM equation.

GCF(30398,30404) = 2
LCM(30398,30404) = ( 30398 × 30404) / 2
LCM(30398,30404) = 924220792 / 2
LCM(30398,30404) = 462110396

Least Common Multiple (LCM) of 30398 and 30404 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30398 and 30404. First we will calculate the prime factors of 30398 and 30404.

Prime Factorization of 30398

Prime factors of 30398 are 2, 15199. Prime factorization of 30398 in exponential form is:

30398 = 21 × 151991

Prime Factorization of 30404

Prime factors of 30404 are 2, 11, 691. Prime factorization of 30404 in exponential form is:

30404 = 22 × 111 × 6911

Now multiplying the highest exponent prime factors to calculate the LCM of 30398 and 30404.

LCM(30398,30404) = 22 × 151991 × 111 × 6911
LCM(30398,30404) = 462110396