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What is the Least Common Multiple of 28167 and 28185?

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 28185 is 264628965.

LCM(28167,28185) = 264628965

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Least Common Multiple of 28167 and 28185 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 28185, than apply into the LCM equation.

GCF(28167,28185) = 3
LCM(28167,28185) = ( 28167 × 28185) / 3
LCM(28167,28185) = 793886895 / 3
LCM(28167,28185) = 264628965

Least Common Multiple (LCM) of 28167 and 28185 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28167 and 28185. First we will calculate the prime factors of 28167 and 28185.

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 28185

Prime factors of 28185 are 3, 5, 1879. Prime factorization of 28185 in exponential form is:

28185 = 31 × 51 × 18791

Now multiplying the highest exponent prime factors to calculate the LCM of 28167 and 28185.

LCM(28167,28185) = 31 × 411 × 2291 × 51 × 18791
LCM(28167,28185) = 264628965