What is the Least Common Multiple of 330 and 347?
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 330 and 347 is 114510.
LCM(330,347) = 114510
Least Common Multiple of 330 and 347 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 330 and 347, than apply into the LCM equation.
GCF(330,347) = 1
LCM(330,347) = ( 330 × 347) / 1
LCM(330,347) = 114510 / 1
LCM(330,347) = 114510
Least Common Multiple (LCM) of 330 and 347 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 330 and 347. First we will calculate the prime factors of 330 and 347.
Prime Factorization of 330
Prime factors of 330 are 2, 3, 5, 11. Prime factorization of 330 in exponential form is:
330 = 21 × 31 × 51 × 111
Prime Factorization of 347
Prime factors of 347 are 347. Prime factorization of 347 in exponential form is:
347 = 3471
Now multiplying the highest exponent prime factors to calculate the LCM of 330 and 347.
LCM(330,347) = 21 × 31 × 51 × 111 × 3471
LCM(330,347) = 114510
Related Least Common Multiples of 330
- LCM of 330 and 334
- LCM of 330 and 335
- LCM of 330 and 336
- LCM of 330 and 337
- LCM of 330 and 338
- LCM of 330 and 339
- LCM of 330 and 340
- LCM of 330 and 341
- LCM of 330 and 342
- LCM of 330 and 343
- LCM of 330 and 344
- LCM of 330 and 345
- LCM of 330 and 346
- LCM of 330 and 347
- LCM of 330 and 348
- LCM of 330 and 349
- LCM of 330 and 350
Related Least Common Multiples of 347
- LCM of 347 and 351
- LCM of 347 and 352
- LCM of 347 and 353
- LCM of 347 and 354
- LCM of 347 and 355
- LCM of 347 and 356
- LCM of 347 and 357
- LCM of 347 and 358
- LCM of 347 and 359
- LCM of 347 and 360
- LCM of 347 and 361
- LCM of 347 and 362
- LCM of 347 and 363
- LCM of 347 and 364
- LCM of 347 and 365
- LCM of 347 and 366
- LCM of 347 and 367