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What is the Least Common Multiple of 28679 and 28691?

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 28679 and 28691 is 822829189.

LCM(28679,28691) = 822829189

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Least Common Multiple of 28679 and 28691 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28679 and 28691, than apply into the LCM equation.

GCF(28679,28691) = 1
LCM(28679,28691) = ( 28679 × 28691) / 1
LCM(28679,28691) = 822829189 / 1
LCM(28679,28691) = 822829189

Least Common Multiple (LCM) of 28679 and 28691 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28679 and 28691. First we will calculate the prime factors of 28679 and 28691.

Prime Factorization of 28679

Prime factors of 28679 are 7, 17, 241. Prime factorization of 28679 in exponential form is:

28679 = 71 × 171 × 2411

Prime Factorization of 28691

Prime factors of 28691 are 13, 2207. Prime factorization of 28691 in exponential form is:

28691 = 131 × 22071

Now multiplying the highest exponent prime factors to calculate the LCM of 28679 and 28691.

LCM(28679,28691) = 71 × 171 × 2411 × 131 × 22071
LCM(28679,28691) = 822829189