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What is the Least Common Multiple of 69578 and 69589?

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 69578 and 69589 is 4841863442.

LCM(69578,69589) = 4841863442

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Least Common Multiple of 69578 and 69589 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69578 and 69589, than apply into the LCM equation.

GCF(69578,69589) = 1
LCM(69578,69589) = ( 69578 × 69589) / 1
LCM(69578,69589) = 4841863442 / 1
LCM(69578,69589) = 4841863442

Least Common Multiple (LCM) of 69578 and 69589 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69578 and 69589. First we will calculate the prime factors of 69578 and 69589.

Prime Factorization of 69578

Prime factors of 69578 are 2, 19, 1831. Prime factorization of 69578 in exponential form is:

69578 = 21 × 191 × 18311

Prime Factorization of 69589

Prime factors of 69589 are 13, 53, 101. Prime factorization of 69589 in exponential form is:

69589 = 131 × 531 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 69578 and 69589.

LCM(69578,69589) = 21 × 191 × 18311 × 131 × 531 × 1011
LCM(69578,69589) = 4841863442