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What is the Least Common Multiple of 17397 and 17407?

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 17397 and 17407 is 302829579.

LCM(17397,17407) = 302829579

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Least Common Multiple of 17397 and 17407 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17397 and 17407, than apply into the LCM equation.

GCF(17397,17407) = 1
LCM(17397,17407) = ( 17397 × 17407) / 1
LCM(17397,17407) = 302829579 / 1
LCM(17397,17407) = 302829579

Least Common Multiple (LCM) of 17397 and 17407 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17397 and 17407. First we will calculate the prime factors of 17397 and 17407.

Prime Factorization of 17397

Prime factors of 17397 are 3, 1933. Prime factorization of 17397 in exponential form is:

17397 = 32 × 19331

Prime Factorization of 17407

Prime factors of 17407 are 13, 103. Prime factorization of 17407 in exponential form is:

17407 = 132 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 17397 and 17407.

LCM(17397,17407) = 32 × 19331 × 132 × 1031
LCM(17397,17407) = 302829579