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What is the Least Common Multiple of 62599 and 62615?

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 62599 and 62615 is 3919636385.

LCM(62599,62615) = 3919636385

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Least Common Multiple of 62599 and 62615 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62599 and 62615, than apply into the LCM equation.

GCF(62599,62615) = 1
LCM(62599,62615) = ( 62599 × 62615) / 1
LCM(62599,62615) = 3919636385 / 1
LCM(62599,62615) = 3919636385

Least Common Multiple (LCM) of 62599 and 62615 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62599 and 62615. First we will calculate the prime factors of 62599 and 62615.

Prime Factorization of 62599

Prime factors of 62599 are 59, 1061. Prime factorization of 62599 in exponential form is:

62599 = 591 × 10611

Prime Factorization of 62615

Prime factors of 62615 are 5, 7, 1789. Prime factorization of 62615 in exponential form is:

62615 = 51 × 71 × 17891

Now multiplying the highest exponent prime factors to calculate the LCM of 62599 and 62615.

LCM(62599,62615) = 591 × 10611 × 51 × 71 × 17891
LCM(62599,62615) = 3919636385