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What is the Least Common Multiple of 28844 and 28855?

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 28844 and 28855 is 832293620.

LCM(28844,28855) = 832293620

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Least Common Multiple of 28844 and 28855 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28844 and 28855, than apply into the LCM equation.

GCF(28844,28855) = 1
LCM(28844,28855) = ( 28844 × 28855) / 1
LCM(28844,28855) = 832293620 / 1
LCM(28844,28855) = 832293620

Least Common Multiple (LCM) of 28844 and 28855 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28844 and 28855. First we will calculate the prime factors of 28844 and 28855.

Prime Factorization of 28844

Prime factors of 28844 are 2, 7211. Prime factorization of 28844 in exponential form is:

28844 = 22 × 72111

Prime Factorization of 28855

Prime factors of 28855 are 5, 29, 199. Prime factorization of 28855 in exponential form is:

28855 = 51 × 291 × 1991

Now multiplying the highest exponent prime factors to calculate the LCM of 28844 and 28855.

LCM(28844,28855) = 22 × 72111 × 51 × 291 × 1991
LCM(28844,28855) = 832293620