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What is the Least Common Multiple of 28331 and 28349?

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 28331 and 28349 is 803155519.

LCM(28331,28349) = 803155519

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Least Common Multiple of 28331 and 28349 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28331 and 28349, than apply into the LCM equation.

GCF(28331,28349) = 1
LCM(28331,28349) = ( 28331 × 28349) / 1
LCM(28331,28349) = 803155519 / 1
LCM(28331,28349) = 803155519

Least Common Multiple (LCM) of 28331 and 28349 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28331 and 28349. First we will calculate the prime factors of 28331 and 28349.

Prime Factorization of 28331

Prime factors of 28331 are 41, 691. Prime factorization of 28331 in exponential form is:

28331 = 411 × 6911

Prime Factorization of 28349

Prime factors of 28349 are 28349. Prime factorization of 28349 in exponential form is:

28349 = 283491

Now multiplying the highest exponent prime factors to calculate the LCM of 28331 and 28349.

LCM(28331,28349) = 411 × 6911 × 283491
LCM(28331,28349) = 803155519