What is the Least Common Multiple of 17309 and 17318?
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 17309 and 17318 is 299757262.
LCM(17309,17318) = 299757262
Least Common Multiple of 17309 and 17318 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17309 and 17318, than apply into the LCM equation.
GCF(17309,17318) = 1
LCM(17309,17318) = ( 17309 × 17318) / 1
LCM(17309,17318) = 299757262 / 1
LCM(17309,17318) = 299757262
Least Common Multiple (LCM) of 17309 and 17318 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 17309 and 17318. First we will calculate the prime factors of 17309 and 17318.
Prime Factorization of 17309
Prime factors of 17309 are 19, 911. Prime factorization of 17309 in exponential form is:
17309 = 191 × 9111
Prime Factorization of 17318
Prime factors of 17318 are 2, 7, 1237. Prime factorization of 17318 in exponential form is:
17318 = 21 × 71 × 12371
Now multiplying the highest exponent prime factors to calculate the LCM of 17309 and 17318.
LCM(17309,17318) = 191 × 9111 × 21 × 71 × 12371
LCM(17309,17318) = 299757262
Related Least Common Multiples of 17309
- LCM of 17309 and 17313
- LCM of 17309 and 17314
- LCM of 17309 and 17315
- LCM of 17309 and 17316
- LCM of 17309 and 17317
- LCM of 17309 and 17318
- LCM of 17309 and 17319
- LCM of 17309 and 17320
- LCM of 17309 and 17321
- LCM of 17309 and 17322
- LCM of 17309 and 17323
- LCM of 17309 and 17324
- LCM of 17309 and 17325
- LCM of 17309 and 17326
- LCM of 17309 and 17327
- LCM of 17309 and 17328
- LCM of 17309 and 17329
Related Least Common Multiples of 17318
- LCM of 17318 and 17322
- LCM of 17318 and 17323
- LCM of 17318 and 17324
- LCM of 17318 and 17325
- LCM of 17318 and 17326
- LCM of 17318 and 17327
- LCM of 17318 and 17328
- LCM of 17318 and 17329
- LCM of 17318 and 17330
- LCM of 17318 and 17331
- LCM of 17318 and 17332
- LCM of 17318 and 17333
- LCM of 17318 and 17334
- LCM of 17318 and 17335
- LCM of 17318 and 17336
- LCM of 17318 and 17337
- LCM of 17318 and 17338