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What is the Least Common Multiple of 28599 and 28615?

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 28599 and 28615 is 818360385.

LCM(28599,28615) = 818360385

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Least Common Multiple of 28599 and 28615 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28599 and 28615, than apply into the LCM equation.

GCF(28599,28615) = 1
LCM(28599,28615) = ( 28599 × 28615) / 1
LCM(28599,28615) = 818360385 / 1
LCM(28599,28615) = 818360385

Least Common Multiple (LCM) of 28599 and 28615 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28599 and 28615. First we will calculate the prime factors of 28599 and 28615.

Prime Factorization of 28599

Prime factors of 28599 are 3, 9533. Prime factorization of 28599 in exponential form is:

28599 = 31 × 95331

Prime Factorization of 28615

Prime factors of 28615 are 5, 59, 97. Prime factorization of 28615 in exponential form is:

28615 = 51 × 591 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 28599 and 28615.

LCM(28599,28615) = 31 × 95331 × 51 × 591 × 971
LCM(28599,28615) = 818360385