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What is the Least Common Multiple of 62682 and 62695?

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 62682 and 62695 is 3929847990.

LCM(62682,62695) = 3929847990

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Least Common Multiple of 62682 and 62695 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62682 and 62695, than apply into the LCM equation.

GCF(62682,62695) = 1
LCM(62682,62695) = ( 62682 × 62695) / 1
LCM(62682,62695) = 3929847990 / 1
LCM(62682,62695) = 3929847990

Least Common Multiple (LCM) of 62682 and 62695 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62682 and 62695. First we will calculate the prime factors of 62682 and 62695.

Prime Factorization of 62682

Prime factors of 62682 are 2, 3, 31, 337. Prime factorization of 62682 in exponential form is:

62682 = 21 × 31 × 311 × 3371

Prime Factorization of 62695

Prime factors of 62695 are 5, 12539. Prime factorization of 62695 in exponential form is:

62695 = 51 × 125391

Now multiplying the highest exponent prime factors to calculate the LCM of 62682 and 62695.

LCM(62682,62695) = 21 × 31 × 311 × 3371 × 51 × 125391
LCM(62682,62695) = 3929847990