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What is the Least Common Multiple of 12403 and 12409?

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 12403 and 12409 is 153908827.

LCM(12403,12409) = 153908827

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Least Common Multiple of 12403 and 12409 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12403 and 12409, than apply into the LCM equation.

GCF(12403,12409) = 1
LCM(12403,12409) = ( 12403 × 12409) / 1
LCM(12403,12409) = 153908827 / 1
LCM(12403,12409) = 153908827

Least Common Multiple (LCM) of 12403 and 12409 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12403 and 12409. First we will calculate the prime factors of 12403 and 12409.

Prime Factorization of 12403

Prime factors of 12403 are 79, 157. Prime factorization of 12403 in exponential form is:

12403 = 791 × 1571

Prime Factorization of 12409

Prime factors of 12409 are 12409. Prime factorization of 12409 in exponential form is:

12409 = 124091

Now multiplying the highest exponent prime factors to calculate the LCM of 12403 and 12409.

LCM(12403,12409) = 791 × 1571 × 124091
LCM(12403,12409) = 153908827