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What is the Least Common Multiple of 27849 and 27860?

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 27849 and 27860 is 775873140.

LCM(27849,27860) = 775873140

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Least Common Multiple of 27849 and 27860 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27849 and 27860, than apply into the LCM equation.

GCF(27849,27860) = 1
LCM(27849,27860) = ( 27849 × 27860) / 1
LCM(27849,27860) = 775873140 / 1
LCM(27849,27860) = 775873140

Least Common Multiple (LCM) of 27849 and 27860 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27849 and 27860. First we will calculate the prime factors of 27849 and 27860.

Prime Factorization of 27849

Prime factors of 27849 are 3, 9283. Prime factorization of 27849 in exponential form is:

27849 = 31 × 92831

Prime Factorization of 27860

Prime factors of 27860 are 2, 5, 7, 199. Prime factorization of 27860 in exponential form is:

27860 = 22 × 51 × 71 × 1991

Now multiplying the highest exponent prime factors to calculate the LCM of 27849 and 27860.

LCM(27849,27860) = 31 × 92831 × 22 × 51 × 71 × 1991
LCM(27849,27860) = 775873140