What is the Least Common Multiple of 325 and 336?
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 325 and 336 is 109200.
LCM(325,336) = 109200
Least Common Multiple of 325 and 336 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 325 and 336, than apply into the LCM equation.
GCF(325,336) = 1
LCM(325,336) = ( 325 × 336) / 1
LCM(325,336) = 109200 / 1
LCM(325,336) = 109200
Least Common Multiple (LCM) of 325 and 336 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 325 and 336. First we will calculate the prime factors of 325 and 336.
Prime Factorization of 325
Prime factors of 325 are 5, 13. Prime factorization of 325 in exponential form is:
325 = 52 × 131
Prime Factorization of 336
Prime factors of 336 are 2, 3, 7. Prime factorization of 336 in exponential form is:
336 = 24 × 31 × 71
Now multiplying the highest exponent prime factors to calculate the LCM of 325 and 336.
LCM(325,336) = 52 × 131 × 24 × 31 × 71
LCM(325,336) = 109200
Related Least Common Multiples of 325
- LCM of 325 and 329
- LCM of 325 and 330
- LCM of 325 and 331
- LCM of 325 and 332
- LCM of 325 and 333
- LCM of 325 and 334
- LCM of 325 and 335
- LCM of 325 and 336
- LCM of 325 and 337
- LCM of 325 and 338
- LCM of 325 and 339
- LCM of 325 and 340
- LCM of 325 and 341
- LCM of 325 and 342
- LCM of 325 and 343
- LCM of 325 and 344
- LCM of 325 and 345
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