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What is the Least Common Multiple of 28869 and 28886?

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 28869 and 28886 is 833909934.

LCM(28869,28886) = 833909934

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Least Common Multiple of 28869 and 28886 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28869 and 28886, than apply into the LCM equation.

GCF(28869,28886) = 1
LCM(28869,28886) = ( 28869 × 28886) / 1
LCM(28869,28886) = 833909934 / 1
LCM(28869,28886) = 833909934

Least Common Multiple (LCM) of 28869 and 28886 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28869 and 28886. First we will calculate the prime factors of 28869 and 28886.

Prime Factorization of 28869

Prime factors of 28869 are 3, 9623. Prime factorization of 28869 in exponential form is:

28869 = 31 × 96231

Prime Factorization of 28886

Prime factors of 28886 are 2, 11, 13, 101. Prime factorization of 28886 in exponential form is:

28886 = 21 × 111 × 131 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 28869 and 28886.

LCM(28869,28886) = 31 × 96231 × 21 × 111 × 131 × 1011
LCM(28869,28886) = 833909934