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What is the Least Common Multiple of 28395 and 28415?

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 28395 and 28415 is 161368785.

LCM(28395,28415) = 161368785

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Least Common Multiple of 28395 and 28415 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28395 and 28415, than apply into the LCM equation.

GCF(28395,28415) = 5
LCM(28395,28415) = ( 28395 × 28415) / 5
LCM(28395,28415) = 806843925 / 5
LCM(28395,28415) = 161368785

Least Common Multiple (LCM) of 28395 and 28415 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28395 and 28415. First we will calculate the prime factors of 28395 and 28415.

Prime Factorization of 28395

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

28395 = 32 × 51 × 6311

Prime Factorization of 28415

Prime factors of 28415 are 5, 5683. Prime factorization of 28415 in exponential form is:

28415 = 51 × 56831

Now multiplying the highest exponent prime factors to calculate the LCM of 28395 and 28415.

LCM(28395,28415) = 32 × 51 × 6311 × 56831
LCM(28395,28415) = 161368785