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What is the Least Common Multiple of 28116 and 28133?

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 28116 and 28133 is 790987428.

LCM(28116,28133) = 790987428

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Least Common Multiple of 28116 and 28133 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28116 and 28133, than apply into the LCM equation.

GCF(28116,28133) = 1
LCM(28116,28133) = ( 28116 × 28133) / 1
LCM(28116,28133) = 790987428 / 1
LCM(28116,28133) = 790987428

Least Common Multiple (LCM) of 28116 and 28133 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28116 and 28133. First we will calculate the prime factors of 28116 and 28133.

Prime Factorization of 28116

Prime factors of 28116 are 2, 3, 11, 71. Prime factorization of 28116 in exponential form is:

28116 = 22 × 32 × 111 × 711

Prime Factorization of 28133

Prime factors of 28133 are 7, 4019. Prime factorization of 28133 in exponential form is:

28133 = 71 × 40191

Now multiplying the highest exponent prime factors to calculate the LCM of 28116 and 28133.

LCM(28116,28133) = 22 × 32 × 111 × 711 × 71 × 40191
LCM(28116,28133) = 790987428