What is the Least Common Multiple of 329 and 333?
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 329 and 333 is 109557.
LCM(329,333) = 109557
Least Common Multiple of 329 and 333 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 329 and 333, than apply into the LCM equation.
GCF(329,333) = 1
LCM(329,333) = ( 329 × 333) / 1
LCM(329,333) = 109557 / 1
LCM(329,333) = 109557
Least Common Multiple (LCM) of 329 and 333 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 329 and 333. First we will calculate the prime factors of 329 and 333.
Prime Factorization of 329
Prime factors of 329 are 7, 47. Prime factorization of 329 in exponential form is:
329 = 71 × 471
Prime Factorization of 333
Prime factors of 333 are 3, 37. Prime factorization of 333 in exponential form is:
333 = 32 × 371
Now multiplying the highest exponent prime factors to calculate the LCM of 329 and 333.
LCM(329,333) = 71 × 471 × 32 × 371
LCM(329,333) = 109557
Related Least Common Multiples of 329
- LCM of 329 and 333
- LCM of 329 and 334
- LCM of 329 and 335
- LCM of 329 and 336
- LCM of 329 and 337
- LCM of 329 and 338
- LCM of 329 and 339
- LCM of 329 and 340
- LCM of 329 and 341
- LCM of 329 and 342
- LCM of 329 and 343
- LCM of 329 and 344
- LCM of 329 and 345
- LCM of 329 and 346
- LCM of 329 and 347
- LCM of 329 and 348
- LCM of 329 and 349
Related Least Common Multiples of 333
- LCM of 333 and 337
- LCM of 333 and 338
- LCM of 333 and 339
- LCM of 333 and 340
- LCM of 333 and 341
- LCM of 333 and 342
- LCM of 333 and 343
- LCM of 333 and 344
- LCM of 333 and 345
- LCM of 333 and 346
- LCM of 333 and 347
- LCM of 333 and 348
- LCM of 333 and 349
- LCM of 333 and 350
- LCM of 333 and 351
- LCM of 333 and 352
- LCM of 333 and 353