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What is the Least Common Multiple of 30397 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 30397 and 30404 is 924190388.

LCM(30397,30404) = 924190388

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Least Common Multiple of 30397 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 30397 and 30404, than apply into the LCM equation.

GCF(30397,30404) = 1
LCM(30397,30404) = ( 30397 × 30404) / 1
LCM(30397,30404) = 924190388 / 1
LCM(30397,30404) = 924190388

Least Common Multiple (LCM) of 30397 and 30404 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30397 and 30404. First we will calculate the prime factors of 30397 and 30404.

Prime Factorization of 30397

Prime factors of 30397 are 113, 269. Prime factorization of 30397 in exponential form is:

30397 = 1131 × 2691

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 30397 and 30404.

LCM(30397,30404) = 1131 × 2691 × 22 × 111 × 6911
LCM(30397,30404) = 924190388