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What is the Least Common Multiple of 62582 and 62587?

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 62582 and 62587 is 3916819634.

LCM(62582,62587) = 3916819634

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Least Common Multiple of 62582 and 62587 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62582 and 62587, than apply into the LCM equation.

GCF(62582,62587) = 1
LCM(62582,62587) = ( 62582 × 62587) / 1
LCM(62582,62587) = 3916819634 / 1
LCM(62582,62587) = 3916819634

Least Common Multiple (LCM) of 62582 and 62587 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62582 and 62587. First we will calculate the prime factors of 62582 and 62587.

Prime Factorization of 62582

Prime factors of 62582 are 2, 13, 29, 83. Prime factorization of 62582 in exponential form is:

62582 = 21 × 131 × 291 × 831

Prime Factorization of 62587

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

62587 = 71 × 89411

Now multiplying the highest exponent prime factors to calculate the LCM of 62582 and 62587.

LCM(62582,62587) = 21 × 131 × 291 × 831 × 71 × 89411
LCM(62582,62587) = 3916819634