What is the Least Common Multiple of 17299 and 17311?
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 17299 and 17311 is 299462989.
LCM(17299,17311) = 299462989
Least Common Multiple of 17299 and 17311 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17299 and 17311, than apply into the LCM equation.
GCF(17299,17311) = 1
LCM(17299,17311) = ( 17299 × 17311) / 1
LCM(17299,17311) = 299462989 / 1
LCM(17299,17311) = 299462989
Least Common Multiple (LCM) of 17299 and 17311 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 17299 and 17311. First we will calculate the prime factors of 17299 and 17311.
Prime Factorization of 17299
Prime factors of 17299 are 17299. Prime factorization of 17299 in exponential form is:
17299 = 172991
Prime Factorization of 17311
Prime factors of 17311 are 7, 2473. Prime factorization of 17311 in exponential form is:
17311 = 71 × 24731
Now multiplying the highest exponent prime factors to calculate the LCM of 17299 and 17311.
LCM(17299,17311) = 172991 × 71 × 24731
LCM(17299,17311) = 299462989
Related Least Common Multiples of 17299
- LCM of 17299 and 17303
- LCM of 17299 and 17304
- LCM of 17299 and 17305
- LCM of 17299 and 17306
- LCM of 17299 and 17307
- LCM of 17299 and 17308
- LCM of 17299 and 17309
- LCM of 17299 and 17310
- LCM of 17299 and 17311
- LCM of 17299 and 17312
- LCM of 17299 and 17313
- LCM of 17299 and 17314
- LCM of 17299 and 17315
- LCM of 17299 and 17316
- LCM of 17299 and 17317
- LCM of 17299 and 17318
- LCM of 17299 and 17319
Related Least Common Multiples of 17311
- LCM of 17311 and 17315
- LCM of 17311 and 17316
- LCM of 17311 and 17317
- LCM of 17311 and 17318
- LCM of 17311 and 17319
- LCM of 17311 and 17320
- LCM of 17311 and 17321
- LCM of 17311 and 17322
- LCM of 17311 and 17323
- LCM of 17311 and 17324
- LCM of 17311 and 17325
- LCM of 17311 and 17326
- LCM of 17311 and 17327
- LCM of 17311 and 17328
- LCM of 17311 and 17329
- LCM of 17311 and 17330
- LCM of 17311 and 17331