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What is the Least Common Multiple of 62589 and 62597?

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 62589 and 62597 is 3917883633.

LCM(62589,62597) = 3917883633

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Least Common Multiple of 62589 and 62597 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62589 and 62597, than apply into the LCM equation.

GCF(62589,62597) = 1
LCM(62589,62597) = ( 62589 × 62597) / 1
LCM(62589,62597) = 3917883633 / 1
LCM(62589,62597) = 3917883633

Least Common Multiple (LCM) of 62589 and 62597 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62589 and 62597. First we will calculate the prime factors of 62589 and 62597.

Prime Factorization of 62589

Prime factors of 62589 are 3, 31, 673. Prime factorization of 62589 in exponential form is:

62589 = 31 × 311 × 6731

Prime Factorization of 62597

Prime factors of 62597 are 62597. Prime factorization of 62597 in exponential form is:

62597 = 625971

Now multiplying the highest exponent prime factors to calculate the LCM of 62589 and 62597.

LCM(62589,62597) = 31 × 311 × 6731 × 625971
LCM(62589,62597) = 3917883633