What is the Least Common Multiple of 304 and 318?
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 304 and 318 is 48336.
LCM(304,318) = 48336
Least Common Multiple of 304 and 318 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 304 and 318, than apply into the LCM equation.
GCF(304,318) = 2
LCM(304,318) = ( 304 × 318) / 2
LCM(304,318) = 96672 / 2
LCM(304,318) = 48336
Least Common Multiple (LCM) of 304 and 318 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 304 and 318. First we will calculate the prime factors of 304 and 318.
Prime Factorization of 304
Prime factors of 304 are 2, 19. Prime factorization of 304 in exponential form is:
304 = 24 × 191
Prime Factorization of 318
Prime factors of 318 are 2, 3, 53. Prime factorization of 318 in exponential form is:
318 = 21 × 31 × 531
Now multiplying the highest exponent prime factors to calculate the LCM of 304 and 318.
LCM(304,318) = 24 × 191 × 31 × 531
LCM(304,318) = 48336
Related Least Common Multiples of 304
- LCM of 304 and 308
- LCM of 304 and 309
- LCM of 304 and 310
- LCM of 304 and 311
- LCM of 304 and 312
- LCM of 304 and 313
- LCM of 304 and 314
- LCM of 304 and 315
- LCM of 304 and 316
- LCM of 304 and 317
- LCM of 304 and 318
- LCM of 304 and 319
- LCM of 304 and 320
- LCM of 304 and 321
- LCM of 304 and 322
- LCM of 304 and 323
- LCM of 304 and 324
Related Least Common Multiples of 318
- LCM of 318 and 322
- LCM of 318 and 323
- LCM of 318 and 324
- LCM of 318 and 325
- LCM of 318 and 326
- LCM of 318 and 327
- LCM of 318 and 328
- LCM of 318 and 329
- LCM of 318 and 330
- LCM of 318 and 331
- LCM of 318 and 332
- LCM of 318 and 333
- LCM of 318 and 334
- LCM of 318 and 335
- LCM of 318 and 336
- LCM of 318 and 337
- LCM of 318 and 338