What is the Least Common Multiple of 12297 and 12312?
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 12297 and 12312 is 50466888.
LCM(12297,12312) = 50466888
Least Common Multiple of 12297 and 12312 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12297 and 12312, than apply into the LCM equation.
GCF(12297,12312) = 3
LCM(12297,12312) = ( 12297 × 12312) / 3
LCM(12297,12312) = 151400664 / 3
LCM(12297,12312) = 50466888
Least Common Multiple (LCM) of 12297 and 12312 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12297 and 12312. First we will calculate the prime factors of 12297 and 12312.
Prime Factorization of 12297
Prime factors of 12297 are 3, 4099. Prime factorization of 12297 in exponential form is:
12297 = 31 × 40991
Prime Factorization of 12312
Prime factors of 12312 are 2, 3, 19. Prime factorization of 12312 in exponential form is:
12312 = 23 × 34 × 191
Now multiplying the highest exponent prime factors to calculate the LCM of 12297 and 12312.
LCM(12297,12312) = 34 × 40991 × 23 × 191
LCM(12297,12312) = 50466888
Related Least Common Multiples of 12297
- LCM of 12297 and 12301
- LCM of 12297 and 12302
- LCM of 12297 and 12303
- LCM of 12297 and 12304
- LCM of 12297 and 12305
- LCM of 12297 and 12306
- LCM of 12297 and 12307
- LCM of 12297 and 12308
- LCM of 12297 and 12309
- LCM of 12297 and 12310
- LCM of 12297 and 12311
- LCM of 12297 and 12312
- LCM of 12297 and 12313
- LCM of 12297 and 12314
- LCM of 12297 and 12315
- LCM of 12297 and 12316
- LCM of 12297 and 12317
Related Least Common Multiples of 12312
- LCM of 12312 and 12316
- LCM of 12312 and 12317
- LCM of 12312 and 12318
- LCM of 12312 and 12319
- LCM of 12312 and 12320
- LCM of 12312 and 12321
- LCM of 12312 and 12322
- LCM of 12312 and 12323
- LCM of 12312 and 12324
- LCM of 12312 and 12325
- LCM of 12312 and 12326
- LCM of 12312 and 12327
- LCM of 12312 and 12328
- LCM of 12312 and 12329
- LCM of 12312 and 12330
- LCM of 12312 and 12331
- LCM of 12312 and 12332