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What is the Least Common Multiple of 62507 and 62513?

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 62507 and 62513 is 3907500091.

LCM(62507,62513) = 3907500091

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Least Common Multiple of 62507 and 62513 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62507 and 62513, than apply into the LCM equation.

GCF(62507,62513) = 1
LCM(62507,62513) = ( 62507 × 62513) / 1
LCM(62507,62513) = 3907500091 / 1
LCM(62507,62513) = 3907500091

Least Common Multiple (LCM) of 62507 and 62513 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62507 and 62513. First we will calculate the prime factors of 62507 and 62513.

Prime Factorization of 62507

Prime factors of 62507 are 62507. Prime factorization of 62507 in exponential form is:

62507 = 625071

Prime Factorization of 62513

Prime factors of 62513 are 11, 5683. Prime factorization of 62513 in exponential form is:

62513 = 111 × 56831

Now multiplying the highest exponent prime factors to calculate the LCM of 62507 and 62513.

LCM(62507,62513) = 625071 × 111 × 56831
LCM(62507,62513) = 3907500091