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What is the Least Common Multiple of 28158 and 28167?

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 28158 and 28167 is 264375462.

LCM(28158,28167) = 264375462

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Least Common Multiple of 28158 and 28167 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28158 and 28167, than apply into the LCM equation.

GCF(28158,28167) = 3
LCM(28158,28167) = ( 28158 × 28167) / 3
LCM(28158,28167) = 793126386 / 3
LCM(28158,28167) = 264375462

Least Common Multiple (LCM) of 28158 and 28167 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28158 and 28167. First we will calculate the prime factors of 28158 and 28167.

Prime Factorization of 28158

Prime factors of 28158 are 2, 3, 13, 19. Prime factorization of 28158 in exponential form is:

28158 = 21 × 31 × 131 × 192

Prime Factorization of 28167

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

28167 = 31 × 411 × 2291

Now multiplying the highest exponent prime factors to calculate the LCM of 28158 and 28167.

LCM(28158,28167) = 21 × 31 × 131 × 192 × 411 × 2291
LCM(28158,28167) = 264375462