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What is the Least Common Multiple of 28167 and 28184?

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 28167 and 28184 is 793858728.

LCM(28167,28184) = 793858728

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Least Common Multiple of 28167 and 28184 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28167 and 28184, than apply into the LCM equation.

GCF(28167,28184) = 1
LCM(28167,28184) = ( 28167 × 28184) / 1
LCM(28167,28184) = 793858728 / 1
LCM(28167,28184) = 793858728

Least Common Multiple (LCM) of 28167 and 28184 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28167 and 28184. First we will calculate the prime factors of 28167 and 28184.

Prime Factorization of 28167

Prime factors of 28167 are 3, 41, 229. Prime factorization of 28167 in exponential form is:

28167 = 31 × 411 × 2291

Prime Factorization of 28184

Prime factors of 28184 are 2, 13, 271. Prime factorization of 28184 in exponential form is:

28184 = 23 × 131 × 2711

Now multiplying the highest exponent prime factors to calculate the LCM of 28167 and 28184.

LCM(28167,28184) = 31 × 411 × 2291 × 23 × 131 × 2711
LCM(28167,28184) = 793858728