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What is the Least Common Multiple of 30397 and 30405?

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 30405 is 924220785.

LCM(30397,30405) = 924220785

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Least Common Multiple of 30397 and 30405 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 30405, than apply into the LCM equation.

GCF(30397,30405) = 1
LCM(30397,30405) = ( 30397 × 30405) / 1
LCM(30397,30405) = 924220785 / 1
LCM(30397,30405) = 924220785

Least Common Multiple (LCM) of 30397 and 30405 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30397 and 30405. First we will calculate the prime factors of 30397 and 30405.

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 30405

Prime factors of 30405 are 3, 5, 2027. Prime factorization of 30405 in exponential form is:

30405 = 31 × 51 × 20271

Now multiplying the highest exponent prime factors to calculate the LCM of 30397 and 30405.

LCM(30397,30405) = 1131 × 2691 × 31 × 51 × 20271
LCM(30397,30405) = 924220785