What is the Least Common Multiple of 320 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 320 and 333 is 106560.
LCM(320,333) = 106560
Least Common Multiple of 320 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 320 and 333, than apply into the LCM equation.
GCF(320,333) = 1
LCM(320,333) = ( 320 × 333) / 1
LCM(320,333) = 106560 / 1
LCM(320,333) = 106560
Least Common Multiple (LCM) of 320 and 333 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 320 and 333. First we will calculate the prime factors of 320 and 333.
Prime Factorization of 320
Prime factors of 320 are 2, 5. Prime factorization of 320 in exponential form is:
320 = 26 × 51
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 320 and 333.
LCM(320,333) = 26 × 51 × 32 × 371
LCM(320,333) = 106560
Related Least Common Multiples of 320
- LCM of 320 and 324
- LCM of 320 and 325
- LCM of 320 and 326
- LCM of 320 and 327
- LCM of 320 and 328
- LCM of 320 and 329
- LCM of 320 and 330
- LCM of 320 and 331
- LCM of 320 and 332
- LCM of 320 and 333
- LCM of 320 and 334
- LCM of 320 and 335
- LCM of 320 and 336
- LCM of 320 and 337
- LCM of 320 and 338
- LCM of 320 and 339
- LCM of 320 and 340
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