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What is the Least Common Multiple of 28671 and 28679?

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 28671 and 28679 is 822255609.

LCM(28671,28679) = 822255609

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Least Common Multiple of 28671 and 28679 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28671 and 28679, than apply into the LCM equation.

GCF(28671,28679) = 1
LCM(28671,28679) = ( 28671 × 28679) / 1
LCM(28671,28679) = 822255609 / 1
LCM(28671,28679) = 822255609

Least Common Multiple (LCM) of 28671 and 28679 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28671 and 28679. First we will calculate the prime factors of 28671 and 28679.

Prime Factorization of 28671

Prime factors of 28671 are 3, 19, 503. Prime factorization of 28671 in exponential form is:

28671 = 31 × 191 × 5031

Prime Factorization of 28679

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

28679 = 71 × 171 × 2411

Now multiplying the highest exponent prime factors to calculate the LCM of 28671 and 28679.

LCM(28671,28679) = 31 × 191 × 5031 × 71 × 171 × 2411
LCM(28671,28679) = 822255609