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What is the Least Common Multiple of 62839 and 62855?

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 62839 and 62855 is 3949745345.

LCM(62839,62855) = 3949745345

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Least Common Multiple of 62839 and 62855 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62839 and 62855, than apply into the LCM equation.

GCF(62839,62855) = 1
LCM(62839,62855) = ( 62839 × 62855) / 1
LCM(62839,62855) = 3949745345 / 1
LCM(62839,62855) = 3949745345

Least Common Multiple (LCM) of 62839 and 62855 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62839 and 62855. First we will calculate the prime factors of 62839 and 62855.

Prime Factorization of 62839

Prime factors of 62839 are 7, 47, 191. Prime factorization of 62839 in exponential form is:

62839 = 71 × 471 × 1911

Prime Factorization of 62855

Prime factors of 62855 are 5, 13, 967. Prime factorization of 62855 in exponential form is:

62855 = 51 × 131 × 9671

Now multiplying the highest exponent prime factors to calculate the LCM of 62839 and 62855.

LCM(62839,62855) = 71 × 471 × 1911 × 51 × 131 × 9671
LCM(62839,62855) = 3949745345