What is the Least Common Multiple of 322 and 330?
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 322 and 330 is 53130.
LCM(322,330) = 53130
Least Common Multiple of 322 and 330 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 322 and 330, than apply into the LCM equation.
GCF(322,330) = 2
LCM(322,330) = ( 322 × 330) / 2
LCM(322,330) = 106260 / 2
LCM(322,330) = 53130
Least Common Multiple (LCM) of 322 and 330 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 322 and 330. First we will calculate the prime factors of 322 and 330.
Prime Factorization of 322
Prime factors of 322 are 2, 7, 23. Prime factorization of 322 in exponential form is:
322 = 21 × 71 × 231
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
Now multiplying the highest exponent prime factors to calculate the LCM of 322 and 330.
LCM(322,330) = 21 × 71 × 231 × 31 × 51 × 111
LCM(322,330) = 53130
Related Least Common Multiples of 322
- LCM of 322 and 326
- LCM of 322 and 327
- LCM of 322 and 328
- LCM of 322 and 329
- LCM of 322 and 330
- LCM of 322 and 331
- LCM of 322 and 332
- LCM of 322 and 333
- LCM of 322 and 334
- LCM of 322 and 335
- LCM of 322 and 336
- LCM of 322 and 337
- LCM of 322 and 338
- LCM of 322 and 339
- LCM of 322 and 340
- LCM of 322 and 341
- LCM of 322 and 342
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