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What is the Least Common Multiple of 28149 and 28164?

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 28149 and 28164 is 264262812.

LCM(28149,28164) = 264262812

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Least Common Multiple of 28149 and 28164 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28149 and 28164, than apply into the LCM equation.

GCF(28149,28164) = 3
LCM(28149,28164) = ( 28149 × 28164) / 3
LCM(28149,28164) = 792788436 / 3
LCM(28149,28164) = 264262812

Least Common Multiple (LCM) of 28149 and 28164 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28149 and 28164. First we will calculate the prime factors of 28149 and 28164.

Prime Factorization of 28149

Prime factors of 28149 are 3, 11, 853. Prime factorization of 28149 in exponential form is:

28149 = 31 × 111 × 8531

Prime Factorization of 28164

Prime factors of 28164 are 2, 3, 2347. Prime factorization of 28164 in exponential form is:

28164 = 22 × 31 × 23471

Now multiplying the highest exponent prime factors to calculate the LCM of 28149 and 28164.

LCM(28149,28164) = 31 × 111 × 8531 × 22 × 23471
LCM(28149,28164) = 264262812