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What is the Least Common Multiple of 27829 and 27839?

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 27829 and 27839 is 774731531.

LCM(27829,27839) = 774731531

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Least Common Multiple of 27829 and 27839 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27829 and 27839, than apply into the LCM equation.

GCF(27829,27839) = 1
LCM(27829,27839) = ( 27829 × 27839) / 1
LCM(27829,27839) = 774731531 / 1
LCM(27829,27839) = 774731531

Least Common Multiple (LCM) of 27829 and 27839 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27829 and 27839. First we will calculate the prime factors of 27829 and 27839.

Prime Factorization of 27829

Prime factors of 27829 are 17, 1637. Prime factorization of 27829 in exponential form is:

27829 = 171 × 16371

Prime Factorization of 27839

Prime factors of 27839 are 7, 41, 97. Prime factorization of 27839 in exponential form is:

27839 = 71 × 411 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 27829 and 27839.

LCM(27829,27839) = 171 × 16371 × 71 × 411 × 971
LCM(27829,27839) = 774731531