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What is the Least Common Multiple of 28667 and 28676?

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 28667 and 28676 is 822054892.

LCM(28667,28676) = 822054892

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Least Common Multiple of 28667 and 28676 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28667 and 28676, than apply into the LCM equation.

GCF(28667,28676) = 1
LCM(28667,28676) = ( 28667 × 28676) / 1
LCM(28667,28676) = 822054892 / 1
LCM(28667,28676) = 822054892

Least Common Multiple (LCM) of 28667 and 28676 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28667 and 28676. First we will calculate the prime factors of 28667 and 28676.

Prime Factorization of 28667

Prime factors of 28667 are 109, 263. Prime factorization of 28667 in exponential form is:

28667 = 1091 × 2631

Prime Factorization of 28676

Prime factors of 28676 are 2, 67, 107. Prime factorization of 28676 in exponential form is:

28676 = 22 × 671 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 28667 and 28676.

LCM(28667,28676) = 1091 × 2631 × 22 × 671 × 1071
LCM(28667,28676) = 822054892