What is the Least Common Multiple of 338 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 338 and 345 is 116610.
LCM(338,345) = 116610
Least Common Multiple of 338 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 338 and 345, than apply into the LCM equation.
GCF(338,345) = 1
LCM(338,345) = ( 338 × 345) / 1
LCM(338,345) = 116610 / 1
LCM(338,345) = 116610
Least Common Multiple (LCM) of 338 and 345 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 338 and 345. First we will calculate the prime factors of 338 and 345.
Prime Factorization of 338
Prime factors of 338 are 2, 13. Prime factorization of 338 in exponential form is:
338 = 21 × 132
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 338 and 345.
LCM(338,345) = 21 × 132 × 31 × 51 × 231
LCM(338,345) = 116610
Related Least Common Multiples of 338
- LCM of 338 and 342
- LCM of 338 and 343
- LCM of 338 and 344
- LCM of 338 and 345
- LCM of 338 and 346
- LCM of 338 and 347
- LCM of 338 and 348
- LCM of 338 and 349
- LCM of 338 and 350
- LCM of 338 and 351
- LCM of 338 and 352
- LCM of 338 and 353
- LCM of 338 and 354
- LCM of 338 and 355
- LCM of 338 and 356
- LCM of 338 and 357
- LCM of 338 and 358
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