What is the Least Common Multiple of 331 and 345?
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 331 and 345 is 114195.
LCM(331,345) = 114195
Least Common Multiple of 331 and 345 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 331 and 345, than apply into the LCM equation.
GCF(331,345) = 1
LCM(331,345) = ( 331 × 345) / 1
LCM(331,345) = 114195 / 1
LCM(331,345) = 114195
Least Common Multiple (LCM) of 331 and 345 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 331 and 345. First we will calculate the prime factors of 331 and 345.
Prime Factorization of 331
Prime factors of 331 are 331. Prime factorization of 331 in exponential form is:
331 = 3311
Prime Factorization of 345
Prime factors of 345 are 3, 5, 23. Prime factorization of 345 in exponential form is:
345 = 31 × 51 × 231
Now multiplying the highest exponent prime factors to calculate the LCM of 331 and 345.
LCM(331,345) = 3311 × 31 × 51 × 231
LCM(331,345) = 114195
Related Least Common Multiples of 331
- LCM of 331 and 335
- LCM of 331 and 336
- LCM of 331 and 337
- LCM of 331 and 338
- LCM of 331 and 339
- LCM of 331 and 340
- LCM of 331 and 341
- LCM of 331 and 342
- LCM of 331 and 343
- LCM of 331 and 344
- LCM of 331 and 345
- LCM of 331 and 346
- LCM of 331 and 347
- LCM of 331 and 348
- LCM of 331 and 349
- LCM of 331 and 350
- LCM of 331 and 351
Related Least Common Multiples of 345
- LCM of 345 and 349
- LCM of 345 and 350
- LCM of 345 and 351
- LCM of 345 and 352
- LCM of 345 and 353
- LCM of 345 and 354
- LCM of 345 and 355
- LCM of 345 and 356
- LCM of 345 and 357
- LCM of 345 and 358
- LCM of 345 and 359
- LCM of 345 and 360
- LCM of 345 and 361
- LCM of 345 and 362
- LCM of 345 and 363
- LCM of 345 and 364
- LCM of 345 and 365