What is the Least Common Multiple of 17193 and 17213?
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 17193 and 17213 is 295943109.
LCM(17193,17213) = 295943109
Least Common Multiple of 17193 and 17213 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17193 and 17213, than apply into the LCM equation.
GCF(17193,17213) = 1
LCM(17193,17213) = ( 17193 × 17213) / 1
LCM(17193,17213) = 295943109 / 1
LCM(17193,17213) = 295943109
Least Common Multiple (LCM) of 17193 and 17213 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 17193 and 17213. First we will calculate the prime factors of 17193 and 17213.
Prime Factorization of 17193
Prime factors of 17193 are 3, 11, 521. Prime factorization of 17193 in exponential form is:
17193 = 31 × 111 × 5211
Prime Factorization of 17213
Prime factors of 17213 are 7, 2459. Prime factorization of 17213 in exponential form is:
17213 = 71 × 24591
Now multiplying the highest exponent prime factors to calculate the LCM of 17193 and 17213.
LCM(17193,17213) = 31 × 111 × 5211 × 71 × 24591
LCM(17193,17213) = 295943109
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