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What is the Least Common Multiple of 68583 and 68589?

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 68583 and 68589 is 1568013129.

LCM(68583,68589) = 1568013129

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Least Common Multiple of 68583 and 68589 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68583 and 68589, than apply into the LCM equation.

GCF(68583,68589) = 3
LCM(68583,68589) = ( 68583 × 68589) / 3
LCM(68583,68589) = 4704039387 / 3
LCM(68583,68589) = 1568013129

Least Common Multiple (LCM) of 68583 and 68589 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68583 and 68589. First we will calculate the prime factors of 68583 and 68589.

Prime Factorization of 68583

Prime factors of 68583 are 3, 22861. Prime factorization of 68583 in exponential form is:

68583 = 31 × 228611

Prime Factorization of 68589

Prime factors of 68589 are 3, 7621. Prime factorization of 68589 in exponential form is:

68589 = 32 × 76211

Now multiplying the highest exponent prime factors to calculate the LCM of 68583 and 68589.

LCM(68583,68589) = 32 × 228611 × 76211
LCM(68583,68589) = 1568013129