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What is the Least Common Multiple of 17564 and 17583?

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 17564 and 17583 is 308827812.

LCM(17564,17583) = 308827812

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Least Common Multiple of 17564 and 17583 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17564 and 17583, than apply into the LCM equation.

GCF(17564,17583) = 1
LCM(17564,17583) = ( 17564 × 17583) / 1
LCM(17564,17583) = 308827812 / 1
LCM(17564,17583) = 308827812

Least Common Multiple (LCM) of 17564 and 17583 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17564 and 17583. First we will calculate the prime factors of 17564 and 17583.

Prime Factorization of 17564

Prime factors of 17564 are 2, 4391. Prime factorization of 17564 in exponential form is:

17564 = 22 × 43911

Prime Factorization of 17583

Prime factors of 17583 are 3, 5861. Prime factorization of 17583 in exponential form is:

17583 = 31 × 58611

Now multiplying the highest exponent prime factors to calculate the LCM of 17564 and 17583.

LCM(17564,17583) = 22 × 43911 × 31 × 58611
LCM(17564,17583) = 308827812