What is the Least Common Multiple of 354 and 368?
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 354 and 368 is 65136.
LCM(354,368) = 65136
Least Common Multiple of 354 and 368 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 354 and 368, than apply into the LCM equation.
GCF(354,368) = 2
LCM(354,368) = ( 354 × 368) / 2
LCM(354,368) = 130272 / 2
LCM(354,368) = 65136
Least Common Multiple (LCM) of 354 and 368 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 354 and 368. First we will calculate the prime factors of 354 and 368.
Prime Factorization of 354
Prime factors of 354 are 2, 3, 59. Prime factorization of 354 in exponential form is:
354 = 21 × 31 × 591
Prime Factorization of 368
Prime factors of 368 are 2, 23. Prime factorization of 368 in exponential form is:
368 = 24 × 231
Now multiplying the highest exponent prime factors to calculate the LCM of 354 and 368.
LCM(354,368) = 24 × 31 × 591 × 231
LCM(354,368) = 65136
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
Related Least Common Multiples of 368
- LCM of 368 and 372
- LCM of 368 and 373
- LCM of 368 and 374
- LCM of 368 and 375
- LCM of 368 and 376
- LCM of 368 and 377
- LCM of 368 and 378
- LCM of 368 and 379
- LCM of 368 and 380
- LCM of 368 and 381
- LCM of 368 and 382
- LCM of 368 and 383
- LCM of 368 and 384
- LCM of 368 and 385
- LCM of 368 and 386
- LCM of 368 and 387
- LCM of 368 and 388