What is the Least Common Multiple of 18291 and 18309?
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 18291 and 18309 is 111629973.
LCM(18291,18309) = 111629973
Least Common Multiple of 18291 and 18309 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18291 and 18309, than apply into the LCM equation.
GCF(18291,18309) = 3
LCM(18291,18309) = ( 18291 × 18309) / 3
LCM(18291,18309) = 334889919 / 3
LCM(18291,18309) = 111629973
Least Common Multiple (LCM) of 18291 and 18309 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18291 and 18309. First we will calculate the prime factors of 18291 and 18309.
Prime Factorization of 18291
Prime factors of 18291 are 3, 7, 13, 67. Prime factorization of 18291 in exponential form is:
18291 = 31 × 71 × 131 × 671
Prime Factorization of 18309
Prime factors of 18309 are 3, 17, 359. Prime factorization of 18309 in exponential form is:
18309 = 31 × 171 × 3591
Now multiplying the highest exponent prime factors to calculate the LCM of 18291 and 18309.
LCM(18291,18309) = 31 × 71 × 131 × 671 × 171 × 3591
LCM(18291,18309) = 111629973
Related Least Common Multiples of 18291
- LCM of 18291 and 18295
- LCM of 18291 and 18296
- LCM of 18291 and 18297
- LCM of 18291 and 18298
- LCM of 18291 and 18299
- LCM of 18291 and 18300
- LCM of 18291 and 18301
- LCM of 18291 and 18302
- LCM of 18291 and 18303
- LCM of 18291 and 18304
- LCM of 18291 and 18305
- LCM of 18291 and 18306
- LCM of 18291 and 18307
- LCM of 18291 and 18308
- LCM of 18291 and 18309
- LCM of 18291 and 18310
- LCM of 18291 and 18311
Related Least Common Multiples of 18309
- LCM of 18309 and 18313
- LCM of 18309 and 18314
- LCM of 18309 and 18315
- LCM of 18309 and 18316
- LCM of 18309 and 18317
- LCM of 18309 and 18318
- LCM of 18309 and 18319
- LCM of 18309 and 18320
- LCM of 18309 and 18321
- LCM of 18309 and 18322
- LCM of 18309 and 18323
- LCM of 18309 and 18324
- LCM of 18309 and 18325
- LCM of 18309 and 18326
- LCM of 18309 and 18327
- LCM of 18309 and 18328
- LCM of 18309 and 18329