What is the Least Common Multiple of 10584 and 10602?
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 10584 and 10602 is 6233976.
LCM(10584,10602) = 6233976
Least Common Multiple of 10584 and 10602 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10584 and 10602, than apply into the LCM equation.
GCF(10584,10602) = 18
LCM(10584,10602) = ( 10584 × 10602) / 18
LCM(10584,10602) = 112211568 / 18
LCM(10584,10602) = 6233976
Least Common Multiple (LCM) of 10584 and 10602 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 10584 and 10602. First we will calculate the prime factors of 10584 and 10602.
Prime Factorization of 10584
Prime factors of 10584 are 2, 3, 7. Prime factorization of 10584 in exponential form is:
10584 = 23 × 33 × 72
Prime Factorization of 10602
Prime factors of 10602 are 2, 3, 19, 31. Prime factorization of 10602 in exponential form is:
10602 = 21 × 32 × 191 × 311
Now multiplying the highest exponent prime factors to calculate the LCM of 10584 and 10602.
LCM(10584,10602) = 23 × 33 × 72 × 191 × 311
LCM(10584,10602) = 6233976
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