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What is the Least Common Multiple of 28134 and 28143?

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 28134 and 28143 is 87975018.

LCM(28134,28143) = 87975018

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Least Common Multiple of 28134 and 28143 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28134 and 28143, than apply into the LCM equation.

GCF(28134,28143) = 9
LCM(28134,28143) = ( 28134 × 28143) / 9
LCM(28134,28143) = 791775162 / 9
LCM(28134,28143) = 87975018

Least Common Multiple (LCM) of 28134 and 28143 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28134 and 28143. First we will calculate the prime factors of 28134 and 28143.

Prime Factorization of 28134

Prime factors of 28134 are 2, 3, 521. Prime factorization of 28134 in exponential form is:

28134 = 21 × 33 × 5211

Prime Factorization of 28143

Prime factors of 28143 are 3, 53, 59. Prime factorization of 28143 in exponential form is:

28143 = 32 × 531 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 28134 and 28143.

LCM(28134,28143) = 21 × 33 × 5211 × 531 × 591
LCM(28134,28143) = 87975018