What is the Least Common Multiple of 16297 and 16309?
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 16297 and 16309 is 265787773.
LCM(16297,16309) = 265787773
Least Common Multiple of 16297 and 16309 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16297 and 16309, than apply into the LCM equation.
GCF(16297,16309) = 1
LCM(16297,16309) = ( 16297 × 16309) / 1
LCM(16297,16309) = 265787773 / 1
LCM(16297,16309) = 265787773
Least Common Multiple (LCM) of 16297 and 16309 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16297 and 16309. First we will calculate the prime factors of 16297 and 16309.
Prime Factorization of 16297
Prime factors of 16297 are 43, 379. Prime factorization of 16297 in exponential form is:
16297 = 431 × 3791
Prime Factorization of 16309
Prime factors of 16309 are 47, 347. Prime factorization of 16309 in exponential form is:
16309 = 471 × 3471
Now multiplying the highest exponent prime factors to calculate the LCM of 16297 and 16309.
LCM(16297,16309) = 431 × 3791 × 471 × 3471
LCM(16297,16309) = 265787773
Related Least Common Multiples of 16297
- LCM of 16297 and 16301
- LCM of 16297 and 16302
- LCM of 16297 and 16303
- LCM of 16297 and 16304
- LCM of 16297 and 16305
- LCM of 16297 and 16306
- LCM of 16297 and 16307
- LCM of 16297 and 16308
- LCM of 16297 and 16309
- LCM of 16297 and 16310
- LCM of 16297 and 16311
- LCM of 16297 and 16312
- LCM of 16297 and 16313
- LCM of 16297 and 16314
- LCM of 16297 and 16315
- LCM of 16297 and 16316
- LCM of 16297 and 16317
Related Least Common Multiples of 16309
- LCM of 16309 and 16313
- LCM of 16309 and 16314
- LCM of 16309 and 16315
- LCM of 16309 and 16316
- LCM of 16309 and 16317
- LCM of 16309 and 16318
- LCM of 16309 and 16319
- LCM of 16309 and 16320
- LCM of 16309 and 16321
- LCM of 16309 and 16322
- LCM of 16309 and 16323
- LCM of 16309 and 16324
- LCM of 16309 and 16325
- LCM of 16309 and 16326
- LCM of 16309 and 16327
- LCM of 16309 and 16328
- LCM of 16309 and 16329