What is the Least Common Multiple of 17304 and 17313?
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 17304 and 17313 is 99861384.
LCM(17304,17313) = 99861384
Least Common Multiple of 17304 and 17313 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17304 and 17313, than apply into the LCM equation.
GCF(17304,17313) = 3
LCM(17304,17313) = ( 17304 × 17313) / 3
LCM(17304,17313) = 299584152 / 3
LCM(17304,17313) = 99861384
Least Common Multiple (LCM) of 17304 and 17313 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 17304 and 17313. First we will calculate the prime factors of 17304 and 17313.
Prime Factorization of 17304
Prime factors of 17304 are 2, 3, 7, 103. Prime factorization of 17304 in exponential form is:
17304 = 23 × 31 × 71 × 1031
Prime Factorization of 17313
Prime factors of 17313 are 3, 29, 199. Prime factorization of 17313 in exponential form is:
17313 = 31 × 291 × 1991
Now multiplying the highest exponent prime factors to calculate the LCM of 17304 and 17313.
LCM(17304,17313) = 23 × 31 × 71 × 1031 × 291 × 1991
LCM(17304,17313) = 99861384
Related Least Common Multiples of 17304
- LCM of 17304 and 17308
- LCM of 17304 and 17309
- LCM of 17304 and 17310
- LCM of 17304 and 17311
- LCM of 17304 and 17312
- LCM of 17304 and 17313
- LCM of 17304 and 17314
- LCM of 17304 and 17315
- LCM of 17304 and 17316
- LCM of 17304 and 17317
- LCM of 17304 and 17318
- LCM of 17304 and 17319
- LCM of 17304 and 17320
- LCM of 17304 and 17321
- LCM of 17304 and 17322
- LCM of 17304 and 17323
- LCM of 17304 and 17324
Related Least Common Multiples of 17313
- LCM of 17313 and 17317
- LCM of 17313 and 17318
- LCM of 17313 and 17319
- LCM of 17313 and 17320
- LCM of 17313 and 17321
- LCM of 17313 and 17322
- LCM of 17313 and 17323
- LCM of 17313 and 17324
- LCM of 17313 and 17325
- LCM of 17313 and 17326
- LCM of 17313 and 17327
- LCM of 17313 and 17328
- LCM of 17313 and 17329
- LCM of 17313 and 17330
- LCM of 17313 and 17331
- LCM of 17313 and 17332
- LCM of 17313 and 17333