What is the Least Common Multiple of 296 and 313?
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 296 and 313 is 92648.
LCM(296,313) = 92648
Least Common Multiple of 296 and 313 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 296 and 313, than apply into the LCM equation.
GCF(296,313) = 1
LCM(296,313) = ( 296 × 313) / 1
LCM(296,313) = 92648 / 1
LCM(296,313) = 92648
Least Common Multiple (LCM) of 296 and 313 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 296 and 313. First we will calculate the prime factors of 296 and 313.
Prime Factorization of 296
Prime factors of 296 are 2, 37. Prime factorization of 296 in exponential form is:
296 = 23 × 371
Prime Factorization of 313
Prime factors of 313 are 313. Prime factorization of 313 in exponential form is:
313 = 3131
Now multiplying the highest exponent prime factors to calculate the LCM of 296 and 313.
LCM(296,313) = 23 × 371 × 3131
LCM(296,313) = 92648
Related Least Common Multiples of 296
- LCM of 296 and 300
- LCM of 296 and 301
- LCM of 296 and 302
- LCM of 296 and 303
- LCM of 296 and 304
- LCM of 296 and 305
- LCM of 296 and 306
- LCM of 296 and 307
- LCM of 296 and 308
- LCM of 296 and 309
- LCM of 296 and 310
- LCM of 296 and 311
- LCM of 296 and 312
- LCM of 296 and 313
- LCM of 296 and 314
- LCM of 296 and 315
- LCM of 296 and 316
Related Least Common Multiples of 313
- LCM of 313 and 317
- LCM of 313 and 318
- LCM of 313 and 319
- LCM of 313 and 320
- LCM of 313 and 321
- LCM of 313 and 322
- LCM of 313 and 323
- LCM of 313 and 324
- LCM of 313 and 325
- LCM of 313 and 326
- LCM of 313 and 327
- LCM of 313 and 328
- LCM of 313 and 329
- LCM of 313 and 330
- LCM of 313 and 331
- LCM of 313 and 332
- LCM of 313 and 333