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What is the Least Common Multiple of 28180 and 28191?

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 28180 and 28191 is 794422380.

LCM(28180,28191) = 794422380

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Least Common Multiple of 28180 and 28191 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28180 and 28191, than apply into the LCM equation.

GCF(28180,28191) = 1
LCM(28180,28191) = ( 28180 × 28191) / 1
LCM(28180,28191) = 794422380 / 1
LCM(28180,28191) = 794422380

Least Common Multiple (LCM) of 28180 and 28191 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28180 and 28191. First we will calculate the prime factors of 28180 and 28191.

Prime Factorization of 28180

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

28180 = 22 × 51 × 14091

Prime Factorization of 28191

Prime factors of 28191 are 3, 9397. Prime factorization of 28191 in exponential form is:

28191 = 31 × 93971

Now multiplying the highest exponent prime factors to calculate the LCM of 28180 and 28191.

LCM(28180,28191) = 22 × 51 × 14091 × 31 × 93971
LCM(28180,28191) = 794422380