What is the Least Common Multiple of 348 and 360?
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 348 and 360 is 10440.
LCM(348,360) = 10440
Least Common Multiple of 348 and 360 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 348 and 360, than apply into the LCM equation.
GCF(348,360) = 12
LCM(348,360) = ( 348 × 360) / 12
LCM(348,360) = 125280 / 12
LCM(348,360) = 10440
Least Common Multiple (LCM) of 348 and 360 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 348 and 360. First we will calculate the prime factors of 348 and 360.
Prime Factorization of 348
Prime factors of 348 are 2, 3, 29. Prime factorization of 348 in exponential form is:
348 = 22 × 31 × 291
Prime Factorization of 360
Prime factors of 360 are 2, 3, 5. Prime factorization of 360 in exponential form is:
360 = 23 × 32 × 51
Now multiplying the highest exponent prime factors to calculate the LCM of 348 and 360.
LCM(348,360) = 23 × 32 × 291 × 51
LCM(348,360) = 10440
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
Related Least Common Multiples of 360
- LCM of 360 and 364
- LCM of 360 and 365
- LCM of 360 and 366
- LCM of 360 and 367
- LCM of 360 and 368
- LCM of 360 and 369
- LCM of 360 and 370
- LCM of 360 and 371
- LCM of 360 and 372
- LCM of 360 and 373
- LCM of 360 and 374
- LCM of 360 and 375
- LCM of 360 and 376
- LCM of 360 and 377
- LCM of 360 and 378
- LCM of 360 and 379
- LCM of 360 and 380