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What is the Least Common Multiple of 2397 and 2409?

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 2397 and 2409 is 1924791.

LCM(2397,2409) = 1924791

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Least Common Multiple of 2397 and 2409 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2397 and 2409, than apply into the LCM equation.

GCF(2397,2409) = 3
LCM(2397,2409) = ( 2397 × 2409) / 3
LCM(2397,2409) = 5774373 / 3
LCM(2397,2409) = 1924791

Least Common Multiple (LCM) of 2397 and 2409 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2397 and 2409. First we will calculate the prime factors of 2397 and 2409.

Prime Factorization of 2397

Prime factors of 2397 are 3, 17, 47. Prime factorization of 2397 in exponential form is:

2397 = 31 × 171 × 471

Prime Factorization of 2409

Prime factors of 2409 are 3, 11, 73. Prime factorization of 2409 in exponential form is:

2409 = 31 × 111 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 2397 and 2409.

LCM(2397,2409) = 31 × 171 × 471 × 111 × 731
LCM(2397,2409) = 1924791