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What is the Least Common Multiple of 62491 and 62511?

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 62491 and 62511 is 3906374901.

LCM(62491,62511) = 3906374901

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Least Common Multiple of 62491 and 62511 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62491 and 62511, than apply into the LCM equation.

GCF(62491,62511) = 1
LCM(62491,62511) = ( 62491 × 62511) / 1
LCM(62491,62511) = 3906374901 / 1
LCM(62491,62511) = 3906374901

Least Common Multiple (LCM) of 62491 and 62511 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62491 and 62511. First we will calculate the prime factors of 62491 and 62511.

Prime Factorization of 62491

Prime factors of 62491 are 11, 13, 19, 23. Prime factorization of 62491 in exponential form is:

62491 = 111 × 131 × 191 × 231

Prime Factorization of 62511

Prime factors of 62511 are 3, 67, 311. Prime factorization of 62511 in exponential form is:

62511 = 31 × 671 × 3111

Now multiplying the highest exponent prime factors to calculate the LCM of 62491 and 62511.

LCM(62491,62511) = 111 × 131 × 191 × 231 × 31 × 671 × 3111
LCM(62491,62511) = 3906374901