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What is the Least Common Multiple of 28165 and 28180?

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 28165 and 28180 is 158737940.

LCM(28165,28180) = 158737940

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Least Common Multiple of 28165 and 28180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28165 and 28180, than apply into the LCM equation.

GCF(28165,28180) = 5
LCM(28165,28180) = ( 28165 × 28180) / 5
LCM(28165,28180) = 793689700 / 5
LCM(28165,28180) = 158737940

Least Common Multiple (LCM) of 28165 and 28180 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28165 and 28180. First we will calculate the prime factors of 28165 and 28180.

Prime Factorization of 28165

Prime factors of 28165 are 5, 43, 131. Prime factorization of 28165 in exponential form is:

28165 = 51 × 431 × 1311

Prime Factorization of 28180

Prime factors of 28180 are 2, 5, 1409. Prime factorization of 28180 in exponential form is:

28180 = 22 × 51 × 14091

Now multiplying the highest exponent prime factors to calculate the LCM of 28165 and 28180.

LCM(28165,28180) = 51 × 431 × 1311 × 22 × 14091
LCM(28165,28180) = 158737940