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What is the Least Common Multiple of 62513 and 62521?

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 62513 and 62521 is 3908375273.

LCM(62513,62521) = 3908375273

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Least Common Multiple of 62513 and 62521 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62513 and 62521, than apply into the LCM equation.

GCF(62513,62521) = 1
LCM(62513,62521) = ( 62513 × 62521) / 1
LCM(62513,62521) = 3908375273 / 1
LCM(62513,62521) = 3908375273

Least Common Multiple (LCM) of 62513 and 62521 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62513 and 62521. First we will calculate the prime factors of 62513 and 62521.

Prime Factorization of 62513

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

62513 = 111 × 56831

Prime Factorization of 62521

Prime factors of 62521 are 103, 607. Prime factorization of 62521 in exponential form is:

62521 = 1031 × 6071

Now multiplying the highest exponent prime factors to calculate the LCM of 62513 and 62521.

LCM(62513,62521) = 111 × 56831 × 1031 × 6071
LCM(62513,62521) = 3908375273