What is the Least Common Multiple of 313 and 324?
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 313 and 324 is 101412.
LCM(313,324) = 101412
Least Common Multiple of 313 and 324 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 313 and 324, than apply into the LCM equation.
GCF(313,324) = 1
LCM(313,324) = ( 313 × 324) / 1
LCM(313,324) = 101412 / 1
LCM(313,324) = 101412
Least Common Multiple (LCM) of 313 and 324 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 313 and 324. First we will calculate the prime factors of 313 and 324.
Prime Factorization of 313
Prime factors of 313 are 313. Prime factorization of 313 in exponential form is:
313 = 3131
Prime Factorization of 324
Prime factors of 324 are 2, 3. Prime factorization of 324 in exponential form is:
324 = 22 × 34
Now multiplying the highest exponent prime factors to calculate the LCM of 313 and 324.
LCM(313,324) = 3131 × 22 × 34
LCM(313,324) = 101412
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
Related Least Common Multiples of 324
- LCM of 324 and 328
- LCM of 324 and 329
- LCM of 324 and 330
- LCM of 324 and 331
- LCM of 324 and 332
- LCM of 324 and 333
- LCM of 324 and 334
- LCM of 324 and 335
- LCM of 324 and 336
- LCM of 324 and 337
- LCM of 324 and 338
- LCM of 324 and 339
- LCM of 324 and 340
- LCM of 324 and 341
- LCM of 324 and 342
- LCM of 324 and 343
- LCM of 324 and 344