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What is the Least Common Multiple of 62839 and 62849?

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 62849 is 3949368311.

LCM(62839,62849) = 3949368311

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Least Common Multiple of 62839 and 62849 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 62849, than apply into the LCM equation.

GCF(62839,62849) = 1
LCM(62839,62849) = ( 62839 × 62849) / 1
LCM(62839,62849) = 3949368311 / 1
LCM(62839,62849) = 3949368311

Least Common Multiple (LCM) of 62839 and 62849 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62839 and 62849. First we will calculate the prime factors of 62839 and 62849.

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 62849

Prime factors of 62849 are 17, 3697. Prime factorization of 62849 in exponential form is:

62849 = 171 × 36971

Now multiplying the highest exponent prime factors to calculate the LCM of 62839 and 62849.

LCM(62839,62849) = 71 × 471 × 1911 × 171 × 36971
LCM(62839,62849) = 3949368311