What is the Least Common Multiple of 336 and 348?
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 336 and 348 is 9744.
LCM(336,348) = 9744
Least Common Multiple of 336 and 348 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 336 and 348, than apply into the LCM equation.
GCF(336,348) = 12
LCM(336,348) = ( 336 × 348) / 12
LCM(336,348) = 116928 / 12
LCM(336,348) = 9744
Least Common Multiple (LCM) of 336 and 348 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 336 and 348. First we will calculate the prime factors of 336 and 348.
Prime Factorization of 336
Prime factors of 336 are 2, 3, 7. Prime factorization of 336 in exponential form is:
336 = 24 × 31 × 71
Prime Factorization of 348
Prime factors of 348 are 2, 3, 29. Prime factorization of 348 in exponential form is:
348 = 22 × 31 × 291
Now multiplying the highest exponent prime factors to calculate the LCM of 336 and 348.
LCM(336,348) = 24 × 31 × 71 × 291
LCM(336,348) = 9744
Related Least Common Multiples of 336
- LCM of 336 and 340
- LCM of 336 and 341
- LCM of 336 and 342
- LCM of 336 and 343
- LCM of 336 and 344
- LCM of 336 and 345
- LCM of 336 and 346
- LCM of 336 and 347
- LCM of 336 and 348
- LCM of 336 and 349
- LCM of 336 and 350
- LCM of 336 and 351
- LCM of 336 and 352
- LCM of 336 and 353
- LCM of 336 and 354
- LCM of 336 and 355
- LCM of 336 and 356
Related Least Common Multiples of 348
- LCM of 348 and 352
- LCM of 348 and 353
- LCM of 348 and 354
- LCM of 348 and 355
- LCM of 348 and 356
- LCM of 348 and 357
- LCM of 348 and 358
- LCM of 348 and 359
- LCM of 348 and 360
- LCM of 348 and 361
- LCM of 348 and 362
- LCM of 348 and 363
- LCM of 348 and 364
- LCM of 348 and 365
- LCM of 348 and 366
- LCM of 348 and 367
- LCM of 348 and 368