What is the Least Common Multiple of 346 and 364?
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 346 and 364 is 62972.
LCM(346,364) = 62972
Least Common Multiple of 346 and 364 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 346 and 364, than apply into the LCM equation.
GCF(346,364) = 2
LCM(346,364) = ( 346 × 364) / 2
LCM(346,364) = 125944 / 2
LCM(346,364) = 62972
Least Common Multiple (LCM) of 346 and 364 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 346 and 364. First we will calculate the prime factors of 346 and 364.
Prime Factorization of 346
Prime factors of 346 are 2, 173. Prime factorization of 346 in exponential form is:
346 = 21 × 1731
Prime Factorization of 364
Prime factors of 364 are 2, 7, 13. Prime factorization of 364 in exponential form is:
364 = 22 × 71 × 131
Now multiplying the highest exponent prime factors to calculate the LCM of 346 and 364.
LCM(346,364) = 22 × 1731 × 71 × 131
LCM(346,364) = 62972
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
Related Least Common Multiples of 364
- LCM of 364 and 368
- LCM of 364 and 369
- LCM of 364 and 370
- LCM of 364 and 371
- LCM of 364 and 372
- LCM of 364 and 373
- LCM of 364 and 374
- LCM of 364 and 375
- LCM of 364 and 376
- LCM of 364 and 377
- LCM of 364 and 378
- LCM of 364 and 379
- LCM of 364 and 380
- LCM of 364 and 381
- LCM of 364 and 382
- LCM of 364 and 383
- LCM of 364 and 384