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What is the Least Common Multiple of 62587 and 62598?

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 62587 and 62598 is 3917821026.

LCM(62587,62598) = 3917821026

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Least Common Multiple of 62587 and 62598 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62587 and 62598, than apply into the LCM equation.

GCF(62587,62598) = 1
LCM(62587,62598) = ( 62587 × 62598) / 1
LCM(62587,62598) = 3917821026 / 1
LCM(62587,62598) = 3917821026

Least Common Multiple (LCM) of 62587 and 62598 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62587 and 62598. First we will calculate the prime factors of 62587 and 62598.

Prime Factorization of 62587

Prime factors of 62587 are 7, 8941. Prime factorization of 62587 in exponential form is:

62587 = 71 × 89411

Prime Factorization of 62598

Prime factors of 62598 are 2, 3, 10433. Prime factorization of 62598 in exponential form is:

62598 = 21 × 31 × 104331

Now multiplying the highest exponent prime factors to calculate the LCM of 62587 and 62598.

LCM(62587,62598) = 71 × 89411 × 21 × 31 × 104331
LCM(62587,62598) = 3917821026