What is the Least Common Multiple of 17394 and 17398?
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 17394 and 17398 is 151310406.
LCM(17394,17398) = 151310406
Least Common Multiple of 17394 and 17398 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17394 and 17398, than apply into the LCM equation.
GCF(17394,17398) = 2
LCM(17394,17398) = ( 17394 × 17398) / 2
LCM(17394,17398) = 302620812 / 2
LCM(17394,17398) = 151310406
Least Common Multiple (LCM) of 17394 and 17398 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 17394 and 17398. First we will calculate the prime factors of 17394 and 17398.
Prime Factorization of 17394
Prime factors of 17394 are 2, 3, 13, 223. Prime factorization of 17394 in exponential form is:
17394 = 21 × 31 × 131 × 2231
Prime Factorization of 17398
Prime factors of 17398 are 2, 8699. Prime factorization of 17398 in exponential form is:
17398 = 21 × 86991
Now multiplying the highest exponent prime factors to calculate the LCM of 17394 and 17398.
LCM(17394,17398) = 21 × 31 × 131 × 2231 × 86991
LCM(17394,17398) = 151310406
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