What is the Least Common Multiple of 17172 and 17190?
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 17172 and 17190 is 16399260.
LCM(17172,17190) = 16399260
Least Common Multiple of 17172 and 17190 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17172 and 17190, than apply into the LCM equation.
GCF(17172,17190) = 18
LCM(17172,17190) = ( 17172 × 17190) / 18
LCM(17172,17190) = 295186680 / 18
LCM(17172,17190) = 16399260
Least Common Multiple (LCM) of 17172 and 17190 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 17172 and 17190. First we will calculate the prime factors of 17172 and 17190.
Prime Factorization of 17172
Prime factors of 17172 are 2, 3, 53. Prime factorization of 17172 in exponential form is:
17172 = 22 × 34 × 531
Prime Factorization of 17190
Prime factors of 17190 are 2, 3, 5, 191. Prime factorization of 17190 in exponential form is:
17190 = 21 × 32 × 51 × 1911
Now multiplying the highest exponent prime factors to calculate the LCM of 17172 and 17190.
LCM(17172,17190) = 22 × 34 × 531 × 51 × 1911
LCM(17172,17190) = 16399260
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