What is the Least Common Multiple of 279 and 288?
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 279 and 288 is 8928.
LCM(279,288) = 8928
Least Common Multiple of 279 and 288 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 279 and 288, than apply into the LCM equation.
GCF(279,288) = 9
LCM(279,288) = ( 279 × 288) / 9
LCM(279,288) = 80352 / 9
LCM(279,288) = 8928
Least Common Multiple (LCM) of 279 and 288 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 279 and 288. First we will calculate the prime factors of 279 and 288.
Prime Factorization of 279
Prime factors of 279 are 3, 31. Prime factorization of 279 in exponential form is:
279 = 32 × 311
Prime Factorization of 288
Prime factors of 288 are 2, 3. Prime factorization of 288 in exponential form is:
288 = 25 × 32
Now multiplying the highest exponent prime factors to calculate the LCM of 279 and 288.
LCM(279,288) = 32 × 311 × 25
LCM(279,288) = 8928
Related Least Common Multiples of 279
- LCM of 279 and 283
- LCM of 279 and 284
- LCM of 279 and 285
- LCM of 279 and 286
- LCM of 279 and 287
- LCM of 279 and 288
- LCM of 279 and 289
- LCM of 279 and 290
- LCM of 279 and 291
- LCM of 279 and 292
- LCM of 279 and 293
- LCM of 279 and 294
- LCM of 279 and 295
- LCM of 279 and 296
- LCM of 279 and 297
- LCM of 279 and 298
- LCM of 279 and 299
Related Least Common Multiples of 288
- LCM of 288 and 292
- LCM of 288 and 293
- LCM of 288 and 294
- LCM of 288 and 295
- LCM of 288 and 296
- LCM of 288 and 297
- LCM of 288 and 298
- LCM of 288 and 299
- LCM of 288 and 300
- LCM of 288 and 301
- LCM of 288 and 302
- LCM of 288 and 303
- LCM of 288 and 304
- LCM of 288 and 305
- LCM of 288 and 306
- LCM of 288 and 307
- LCM of 288 and 308