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What is the Least Common Multiple of 27819 and 27828?

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 27819 and 27828 is 86016348.

LCM(27819,27828) = 86016348

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Least Common Multiple of 27819 and 27828 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27819 and 27828, than apply into the LCM equation.

GCF(27819,27828) = 9
LCM(27819,27828) = ( 27819 × 27828) / 9
LCM(27819,27828) = 774147132 / 9
LCM(27819,27828) = 86016348

Least Common Multiple (LCM) of 27819 and 27828 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27819 and 27828. First we will calculate the prime factors of 27819 and 27828.

Prime Factorization of 27819

Prime factors of 27819 are 3, 11, 281. Prime factorization of 27819 in exponential form is:

27819 = 32 × 111 × 2811

Prime Factorization of 27828

Prime factors of 27828 are 2, 3, 773. Prime factorization of 27828 in exponential form is:

27828 = 22 × 32 × 7731

Now multiplying the highest exponent prime factors to calculate the LCM of 27819 and 27828.

LCM(27819,27828) = 32 × 111 × 2811 × 22 × 7731
LCM(27819,27828) = 86016348