What is the Least Common Multiple of 17583 and 17594?
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 17583 and 17594 is 309355302.
LCM(17583,17594) = 309355302
Least Common Multiple of 17583 and 17594 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17583 and 17594, than apply into the LCM equation.
GCF(17583,17594) = 1
LCM(17583,17594) = ( 17583 × 17594) / 1
LCM(17583,17594) = 309355302 / 1
LCM(17583,17594) = 309355302
Least Common Multiple (LCM) of 17583 and 17594 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 17583 and 17594. First we will calculate the prime factors of 17583 and 17594.
Prime Factorization of 17583
Prime factors of 17583 are 3, 5861. Prime factorization of 17583 in exponential form is:
17583 = 31 × 58611
Prime Factorization of 17594
Prime factors of 17594 are 2, 19, 463. Prime factorization of 17594 in exponential form is:
17594 = 21 × 191 × 4631
Now multiplying the highest exponent prime factors to calculate the LCM of 17583 and 17594.
LCM(17583,17594) = 31 × 58611 × 21 × 191 × 4631
LCM(17583,17594) = 309355302
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