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What is the Least Common Multiple of 28667 and 28680?

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 28680 is 822169560.

LCM(28667,28680) = 822169560

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Least Common Multiple of 28667 and 28680 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 28680, than apply into the LCM equation.

GCF(28667,28680) = 1
LCM(28667,28680) = ( 28667 × 28680) / 1
LCM(28667,28680) = 822169560 / 1
LCM(28667,28680) = 822169560

Least Common Multiple (LCM) of 28667 and 28680 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28667 and 28680. First we will calculate the prime factors of 28667 and 28680.

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 28680

Prime factors of 28680 are 2, 3, 5, 239. Prime factorization of 28680 in exponential form is:

28680 = 23 × 31 × 51 × 2391

Now multiplying the highest exponent prime factors to calculate the LCM of 28667 and 28680.

LCM(28667,28680) = 1091 × 2631 × 23 × 31 × 51 × 2391
LCM(28667,28680) = 822169560