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What is the Least Common Multiple of 28318 and 28333?

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 28318 and 28333 is 802333894.

LCM(28318,28333) = 802333894

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Least Common Multiple of 28318 and 28333 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28318 and 28333, than apply into the LCM equation.

GCF(28318,28333) = 1
LCM(28318,28333) = ( 28318 × 28333) / 1
LCM(28318,28333) = 802333894 / 1
LCM(28318,28333) = 802333894

Least Common Multiple (LCM) of 28318 and 28333 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28318 and 28333. First we will calculate the prime factors of 28318 and 28333.

Prime Factorization of 28318

Prime factors of 28318 are 2, 14159. Prime factorization of 28318 in exponential form is:

28318 = 21 × 141591

Prime Factorization of 28333

Prime factors of 28333 are 29, 977. Prime factorization of 28333 in exponential form is:

28333 = 291 × 9771

Now multiplying the highest exponent prime factors to calculate the LCM of 28318 and 28333.

LCM(28318,28333) = 21 × 141591 × 291 × 9771
LCM(28318,28333) = 802333894