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What is the Least Common Multiple of 28401 and 28409?

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 28401 and 28409 is 806844009.

LCM(28401,28409) = 806844009

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Least Common Multiple of 28401 and 28409 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28401 and 28409, than apply into the LCM equation.

GCF(28401,28409) = 1
LCM(28401,28409) = ( 28401 × 28409) / 1
LCM(28401,28409) = 806844009 / 1
LCM(28401,28409) = 806844009

Least Common Multiple (LCM) of 28401 and 28409 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28401 and 28409. First we will calculate the prime factors of 28401 and 28409.

Prime Factorization of 28401

Prime factors of 28401 are 3, 9467. Prime factorization of 28401 in exponential form is:

28401 = 31 × 94671

Prime Factorization of 28409

Prime factors of 28409 are 28409. Prime factorization of 28409 in exponential form is:

28409 = 284091

Now multiplying the highest exponent prime factors to calculate the LCM of 28401 and 28409.

LCM(28401,28409) = 31 × 94671 × 284091
LCM(28401,28409) = 806844009