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What is the Least Common Multiple of 59599 and 59615?

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 59599 and 59615 is 3552994385.

LCM(59599,59615) = 3552994385

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Least Common Multiple of 59599 and 59615 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59599 and 59615, than apply into the LCM equation.

GCF(59599,59615) = 1
LCM(59599,59615) = ( 59599 × 59615) / 1
LCM(59599,59615) = 3552994385 / 1
LCM(59599,59615) = 3552994385

Least Common Multiple (LCM) of 59599 and 59615 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59599 and 59615. First we will calculate the prime factors of 59599 and 59615.

Prime Factorization of 59599

Prime factors of 59599 are 107, 557. Prime factorization of 59599 in exponential form is:

59599 = 1071 × 5571

Prime Factorization of 59615

Prime factors of 59615 are 5, 11923. Prime factorization of 59615 in exponential form is:

59615 = 51 × 119231

Now multiplying the highest exponent prime factors to calculate the LCM of 59599 and 59615.

LCM(59599,59615) = 1071 × 5571 × 51 × 119231
LCM(59599,59615) = 3552994385