What is the Least Common Multiple of 13017 and 13034?
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 13017 and 13034 is 169663578.
LCM(13017,13034) = 169663578
Least Common Multiple of 13017 and 13034 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13017 and 13034, than apply into the LCM equation.
GCF(13017,13034) = 1
LCM(13017,13034) = ( 13017 × 13034) / 1
LCM(13017,13034) = 169663578 / 1
LCM(13017,13034) = 169663578
Least Common Multiple (LCM) of 13017 and 13034 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 13017 and 13034. First we will calculate the prime factors of 13017 and 13034.
Prime Factorization of 13017
Prime factors of 13017 are 3, 4339. Prime factorization of 13017 in exponential form is:
13017 = 31 × 43391
Prime Factorization of 13034
Prime factors of 13034 are 2, 7, 19. Prime factorization of 13034 in exponential form is:
13034 = 21 × 73 × 191
Now multiplying the highest exponent prime factors to calculate the LCM of 13017 and 13034.
LCM(13017,13034) = 31 × 43391 × 21 × 73 × 191
LCM(13017,13034) = 169663578
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