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What is the Least Common Multiple of 28515 and 28530?

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 28515 and 28530 is 54235530.

LCM(28515,28530) = 54235530

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Least Common Multiple of 28515 and 28530 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28515 and 28530, than apply into the LCM equation.

GCF(28515,28530) = 15
LCM(28515,28530) = ( 28515 × 28530) / 15
LCM(28515,28530) = 813532950 / 15
LCM(28515,28530) = 54235530

Least Common Multiple (LCM) of 28515 and 28530 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28515 and 28530. First we will calculate the prime factors of 28515 and 28530.

Prime Factorization of 28515

Prime factors of 28515 are 3, 5, 1901. Prime factorization of 28515 in exponential form is:

28515 = 31 × 51 × 19011

Prime Factorization of 28530

Prime factors of 28530 are 2, 3, 5, 317. Prime factorization of 28530 in exponential form is:

28530 = 21 × 32 × 51 × 3171

Now multiplying the highest exponent prime factors to calculate the LCM of 28515 and 28530.

LCM(28515,28530) = 32 × 51 × 19011 × 21 × 3171
LCM(28515,28530) = 54235530