What is the Least Common Multiple of 341 and 346?
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 346 is 117986.
LCM(341,346) = 117986
Least Common Multiple of 341 and 346 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 346, than apply into the LCM equation.
GCF(341,346) = 1
LCM(341,346) = ( 341 × 346) / 1
LCM(341,346) = 117986 / 1
LCM(341,346) = 117986
Least Common Multiple (LCM) of 341 and 346 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 341 and 346. First we will calculate the prime factors of 341 and 346.
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 346
Prime factors of 346 are 2, 173. Prime factorization of 346 in exponential form is:
346 = 21 × 1731
Now multiplying the highest exponent prime factors to calculate the LCM of 341 and 346.
LCM(341,346) = 111 × 311 × 21 × 1731
LCM(341,346) = 117986
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 346
- LCM of 346 and 350
- LCM of 346 and 351
- LCM of 346 and 352
- LCM of 346 and 353
- LCM of 346 and 354
- LCM of 346 and 355
- LCM of 346 and 356
- LCM of 346 and 357
- LCM of 346 and 358
- LCM of 346 and 359
- LCM of 346 and 360
- LCM of 346 and 361
- LCM of 346 and 362
- LCM of 346 and 363
- LCM of 346 and 364
- LCM of 346 and 365
- LCM of 346 and 366