What is the Least Common Multiple of 345 and 354?
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 345 and 354 is 40710.
LCM(345,354) = 40710
Least Common Multiple of 345 and 354 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 345 and 354, than apply into the LCM equation.
GCF(345,354) = 3
LCM(345,354) = ( 345 × 354) / 3
LCM(345,354) = 122130 / 3
LCM(345,354) = 40710
Least Common Multiple (LCM) of 345 and 354 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 345 and 354. First we will calculate the prime factors of 345 and 354.
Prime Factorization of 345
Prime factors of 345 are 3, 5, 23. Prime factorization of 345 in exponential form is:
345 = 31 × 51 × 231
Prime Factorization of 354
Prime factors of 354 are 2, 3, 59. Prime factorization of 354 in exponential form is:
354 = 21 × 31 × 591
Now multiplying the highest exponent prime factors to calculate the LCM of 345 and 354.
LCM(345,354) = 31 × 51 × 231 × 21 × 591
LCM(345,354) = 40710
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
Related Least Common Multiples of 354
- LCM of 354 and 358
- LCM of 354 and 359
- LCM of 354 and 360
- LCM of 354 and 361
- LCM of 354 and 362
- LCM of 354 and 363
- LCM of 354 and 364
- LCM of 354 and 365
- LCM of 354 and 366
- LCM of 354 and 367
- LCM of 354 and 368
- LCM of 354 and 369
- LCM of 354 and 370
- LCM of 354 and 371
- LCM of 354 and 372
- LCM of 354 and 373
- LCM of 354 and 374