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What is the Least Common Multiple of 28385 and 28395?

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 28385 and 28395 is 161198415.

LCM(28385,28395) = 161198415

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Least Common Multiple of 28385 and 28395 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28385 and 28395, than apply into the LCM equation.

GCF(28385,28395) = 5
LCM(28385,28395) = ( 28385 × 28395) / 5
LCM(28385,28395) = 805992075 / 5
LCM(28385,28395) = 161198415

Least Common Multiple (LCM) of 28385 and 28395 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28385 and 28395. First we will calculate the prime factors of 28385 and 28395.

Prime Factorization of 28385

Prime factors of 28385 are 5, 7, 811. Prime factorization of 28385 in exponential form is:

28385 = 51 × 71 × 8111

Prime Factorization of 28395

Prime factors of 28395 are 3, 5, 631. Prime factorization of 28395 in exponential form is:

28395 = 32 × 51 × 6311

Now multiplying the highest exponent prime factors to calculate the LCM of 28385 and 28395.

LCM(28385,28395) = 51 × 71 × 8111 × 32 × 6311
LCM(28385,28395) = 161198415