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What is the Least Common Multiple of 23574 and 23579?

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 23574 and 23579 is 555851346.

LCM(23574,23579) = 555851346

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Least Common Multiple of 23574 and 23579 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23574 and 23579, than apply into the LCM equation.

GCF(23574,23579) = 1
LCM(23574,23579) = ( 23574 × 23579) / 1
LCM(23574,23579) = 555851346 / 1
LCM(23574,23579) = 555851346

Least Common Multiple (LCM) of 23574 and 23579 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23574 and 23579. First we will calculate the prime factors of 23574 and 23579.

Prime Factorization of 23574

Prime factors of 23574 are 2, 3, 3929. Prime factorization of 23574 in exponential form is:

23574 = 21 × 31 × 39291

Prime Factorization of 23579

Prime factors of 23579 are 17, 19, 73. Prime factorization of 23579 in exponential form is:

23579 = 171 × 191 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 23574 and 23579.

LCM(23574,23579) = 21 × 31 × 39291 × 171 × 191 × 731
LCM(23574,23579) = 555851346