What is the Least Common Multiple of 17459 and 17464?
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 17459 and 17464 is 304903976.
LCM(17459,17464) = 304903976
Least Common Multiple of 17459 and 17464 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17459 and 17464, than apply into the LCM equation.
GCF(17459,17464) = 1
LCM(17459,17464) = ( 17459 × 17464) / 1
LCM(17459,17464) = 304903976 / 1
LCM(17459,17464) = 304903976
Least Common Multiple (LCM) of 17459 and 17464 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 17459 and 17464. First we will calculate the prime factors of 17459 and 17464.
Prime Factorization of 17459
Prime factors of 17459 are 13, 17, 79. Prime factorization of 17459 in exponential form is:
17459 = 131 × 171 × 791
Prime Factorization of 17464
Prime factors of 17464 are 2, 37, 59. Prime factorization of 17464 in exponential form is:
17464 = 23 × 371 × 591
Now multiplying the highest exponent prime factors to calculate the LCM of 17459 and 17464.
LCM(17459,17464) = 131 × 171 × 791 × 23 × 371 × 591
LCM(17459,17464) = 304903976
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