What is the Least Common Multiple of 17219 and 17234?
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 17219 and 17234 is 296752246.
LCM(17219,17234) = 296752246
Least Common Multiple of 17219 and 17234 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17219 and 17234, than apply into the LCM equation.
GCF(17219,17234) = 1
LCM(17219,17234) = ( 17219 × 17234) / 1
LCM(17219,17234) = 296752246 / 1
LCM(17219,17234) = 296752246
Least Common Multiple (LCM) of 17219 and 17234 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 17219 and 17234. First we will calculate the prime factors of 17219 and 17234.
Prime Factorization of 17219
Prime factors of 17219 are 67, 257. Prime factorization of 17219 in exponential form is:
17219 = 671 × 2571
Prime Factorization of 17234
Prime factors of 17234 are 2, 7, 1231. Prime factorization of 17234 in exponential form is:
17234 = 21 × 71 × 12311
Now multiplying the highest exponent prime factors to calculate the LCM of 17219 and 17234.
LCM(17219,17234) = 671 × 2571 × 21 × 71 × 12311
LCM(17219,17234) = 296752246
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