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What is the Least Common Multiple of 28391 and 28404?

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 28391 and 28404 is 806417964.

LCM(28391,28404) = 806417964

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Least Common Multiple of 28391 and 28404 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28391 and 28404, than apply into the LCM equation.

GCF(28391,28404) = 1
LCM(28391,28404) = ( 28391 × 28404) / 1
LCM(28391,28404) = 806417964 / 1
LCM(28391,28404) = 806417964

Least Common Multiple (LCM) of 28391 and 28404 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28391 and 28404. First we will calculate the prime factors of 28391 and 28404.

Prime Factorization of 28391

Prime factors of 28391 are 11, 29, 89. Prime factorization of 28391 in exponential form is:

28391 = 111 × 291 × 891

Prime Factorization of 28404

Prime factors of 28404 are 2, 3, 263. Prime factorization of 28404 in exponential form is:

28404 = 22 × 33 × 2631

Now multiplying the highest exponent prime factors to calculate the LCM of 28391 and 28404.

LCM(28391,28404) = 111 × 291 × 891 × 22 × 33 × 2631
LCM(28391,28404) = 806417964