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What is the Least Common Multiple of 28321 and 28329?

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 28321 and 28329 is 802305609.

LCM(28321,28329) = 802305609

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Least Common Multiple of 28321 and 28329 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28321 and 28329, than apply into the LCM equation.

GCF(28321,28329) = 1
LCM(28321,28329) = ( 28321 × 28329) / 1
LCM(28321,28329) = 802305609 / 1
LCM(28321,28329) = 802305609

Least Common Multiple (LCM) of 28321 and 28329 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28321 and 28329. First we will calculate the prime factors of 28321 and 28329.

Prime Factorization of 28321

Prime factors of 28321 are 127, 223. Prime factorization of 28321 in exponential form is:

28321 = 1271 × 2231

Prime Factorization of 28329

Prime factors of 28329 are 3, 7, 19, 71. Prime factorization of 28329 in exponential form is:

28329 = 31 × 71 × 191 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 28321 and 28329.

LCM(28321,28329) = 1271 × 2231 × 31 × 71 × 191 × 711
LCM(28321,28329) = 802305609