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What is the Least Common Multiple of 28851 and 28862?

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 28851 and 28862 is 832697562.

LCM(28851,28862) = 832697562

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Least Common Multiple of 28851 and 28862 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28851 and 28862, than apply into the LCM equation.

GCF(28851,28862) = 1
LCM(28851,28862) = ( 28851 × 28862) / 1
LCM(28851,28862) = 832697562 / 1
LCM(28851,28862) = 832697562

Least Common Multiple (LCM) of 28851 and 28862 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28851 and 28862. First we will calculate the prime factors of 28851 and 28862.

Prime Factorization of 28851

Prime factors of 28851 are 3, 59, 163. Prime factorization of 28851 in exponential form is:

28851 = 31 × 591 × 1631

Prime Factorization of 28862

Prime factors of 28862 are 2, 14431. Prime factorization of 28862 in exponential form is:

28862 = 21 × 144311

Now multiplying the highest exponent prime factors to calculate the LCM of 28851 and 28862.

LCM(28851,28862) = 31 × 591 × 1631 × 21 × 144311
LCM(28851,28862) = 832697562