What is the Least Common Multiple of 341 and 351?
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 341 and 351 is 119691.
LCM(341,351) = 119691
Least Common Multiple of 341 and 351 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 341 and 351, than apply into the LCM equation.
GCF(341,351) = 1
LCM(341,351) = ( 341 × 351) / 1
LCM(341,351) = 119691 / 1
LCM(341,351) = 119691
Least Common Multiple (LCM) of 341 and 351 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 341 and 351. First we will calculate the prime factors of 341 and 351.
Prime Factorization of 341
Prime factors of 341 are 11, 31. Prime factorization of 341 in exponential form is:
341 = 111 × 311
Prime Factorization of 351
Prime factors of 351 are 3, 13. Prime factorization of 351 in exponential form is:
351 = 33 × 131
Now multiplying the highest exponent prime factors to calculate the LCM of 341 and 351.
LCM(341,351) = 111 × 311 × 33 × 131
LCM(341,351) = 119691
Related Least Common Multiples of 341
- LCM of 341 and 345
- LCM of 341 and 346
- LCM of 341 and 347
- LCM of 341 and 348
- LCM of 341 and 349
- LCM of 341 and 350
- LCM of 341 and 351
- LCM of 341 and 352
- LCM of 341 and 353
- LCM of 341 and 354
- LCM of 341 and 355
- LCM of 341 and 356
- LCM of 341 and 357
- LCM of 341 and 358
- LCM of 341 and 359
- LCM of 341 and 360
- LCM of 341 and 361
Related Least Common Multiples of 351
- LCM of 351 and 355
- LCM of 351 and 356
- LCM of 351 and 357
- LCM of 351 and 358
- LCM of 351 and 359
- LCM of 351 and 360
- LCM of 351 and 361
- LCM of 351 and 362
- LCM of 351 and 363
- LCM of 351 and 364
- LCM of 351 and 365
- LCM of 351 and 366
- LCM of 351 and 367
- LCM of 351 and 368
- LCM of 351 and 369
- LCM of 351 and 370
- LCM of 351 and 371