What is the Least Common Multiple of 305 and 312?
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 305 and 312 is 95160.
LCM(305,312) = 95160
Least Common Multiple of 305 and 312 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 305 and 312, than apply into the LCM equation.
GCF(305,312) = 1
LCM(305,312) = ( 305 × 312) / 1
LCM(305,312) = 95160 / 1
LCM(305,312) = 95160
Least Common Multiple (LCM) of 305 and 312 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 305 and 312. First we will calculate the prime factors of 305 and 312.
Prime Factorization of 305
Prime factors of 305 are 5, 61. Prime factorization of 305 in exponential form is:
305 = 51 × 611
Prime Factorization of 312
Prime factors of 312 are 2, 3, 13. Prime factorization of 312 in exponential form is:
312 = 23 × 31 × 131
Now multiplying the highest exponent prime factors to calculate the LCM of 305 and 312.
LCM(305,312) = 51 × 611 × 23 × 31 × 131
LCM(305,312) = 95160
Related Least Common Multiples of 305
- LCM of 305 and 309
- LCM of 305 and 310
- LCM of 305 and 311
- LCM of 305 and 312
- LCM of 305 and 313
- LCM of 305 and 314
- LCM of 305 and 315
- LCM of 305 and 316
- LCM of 305 and 317
- LCM of 305 and 318
- LCM of 305 and 319
- LCM of 305 and 320
- LCM of 305 and 321
- LCM of 305 and 322
- LCM of 305 and 323
- LCM of 305 and 324
- LCM of 305 and 325
Related Least Common Multiples of 312
- LCM of 312 and 316
- LCM of 312 and 317
- LCM of 312 and 318
- LCM of 312 and 319
- LCM of 312 and 320
- LCM of 312 and 321
- LCM of 312 and 322
- LCM of 312 and 323
- LCM of 312 and 324
- LCM of 312 and 325
- LCM of 312 and 326
- LCM of 312 and 327
- LCM of 312 and 328
- LCM of 312 and 329
- LCM of 312 and 330
- LCM of 312 and 331
- LCM of 312 and 332