What is the Least Common Multiple of 15582 and 15602?
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 15582 and 15602 is 121555182.
LCM(15582,15602) = 121555182
Least Common Multiple of 15582 and 15602 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15582 and 15602, than apply into the LCM equation.
GCF(15582,15602) = 2
LCM(15582,15602) = ( 15582 × 15602) / 2
LCM(15582,15602) = 243110364 / 2
LCM(15582,15602) = 121555182
Least Common Multiple (LCM) of 15582 and 15602 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 15582 and 15602. First we will calculate the prime factors of 15582 and 15602.
Prime Factorization of 15582
Prime factors of 15582 are 2, 3, 7, 53. Prime factorization of 15582 in exponential form is:
15582 = 21 × 31 × 72 × 531
Prime Factorization of 15602
Prime factors of 15602 are 2, 29, 269. Prime factorization of 15602 in exponential form is:
15602 = 21 × 291 × 2691
Now multiplying the highest exponent prime factors to calculate the LCM of 15582 and 15602.
LCM(15582,15602) = 21 × 31 × 72 × 531 × 291 × 2691
LCM(15582,15602) = 121555182
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