What is the Least Common Multiple of 282 and 286?
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 282 and 286 is 40326.
LCM(282,286) = 40326
Least Common Multiple of 282 and 286 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 282 and 286, than apply into the LCM equation.
GCF(282,286) = 2
LCM(282,286) = ( 282 × 286) / 2
LCM(282,286) = 80652 / 2
LCM(282,286) = 40326
Least Common Multiple (LCM) of 282 and 286 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 282 and 286. First we will calculate the prime factors of 282 and 286.
Prime Factorization of 282
Prime factors of 282 are 2, 3, 47. Prime factorization of 282 in exponential form is:
282 = 21 × 31 × 471
Prime Factorization of 286
Prime factors of 286 are 2, 11, 13. Prime factorization of 286 in exponential form is:
286 = 21 × 111 × 131
Now multiplying the highest exponent prime factors to calculate the LCM of 282 and 286.
LCM(282,286) = 21 × 31 × 471 × 111 × 131
LCM(282,286) = 40326
Related Least Common Multiples of 282
- LCM of 282 and 286
- LCM of 282 and 287
- LCM of 282 and 288
- LCM of 282 and 289
- LCM of 282 and 290
- LCM of 282 and 291
- LCM of 282 and 292
- LCM of 282 and 293
- LCM of 282 and 294
- LCM of 282 and 295
- LCM of 282 and 296
- LCM of 282 and 297
- LCM of 282 and 298
- LCM of 282 and 299
- LCM of 282 and 300
- LCM of 282 and 301
- LCM of 282 and 302
Related Least Common Multiples of 286
- LCM of 286 and 290
- LCM of 286 and 291
- LCM of 286 and 292
- LCM of 286 and 293
- LCM of 286 and 294
- LCM of 286 and 295
- LCM of 286 and 296
- LCM of 286 and 297
- LCM of 286 and 298
- LCM of 286 and 299
- LCM of 286 and 300
- LCM of 286 and 301
- LCM of 286 and 302
- LCM of 286 and 303
- LCM of 286 and 304
- LCM of 286 and 305
- LCM of 286 and 306