What is the Least Common Multiple of 287 and 292?
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 287 and 292 is 83804.
LCM(287,292) = 83804
Least Common Multiple of 287 and 292 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 287 and 292, than apply into the LCM equation.
GCF(287,292) = 1
LCM(287,292) = ( 287 × 292) / 1
LCM(287,292) = 83804 / 1
LCM(287,292) = 83804
Least Common Multiple (LCM) of 287 and 292 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 287 and 292. First we will calculate the prime factors of 287 and 292.
Prime Factorization of 287
Prime factors of 287 are 7, 41. Prime factorization of 287 in exponential form is:
287 = 71 × 411
Prime Factorization of 292
Prime factors of 292 are 2, 73. Prime factorization of 292 in exponential form is:
292 = 22 × 731
Now multiplying the highest exponent prime factors to calculate the LCM of 287 and 292.
LCM(287,292) = 71 × 411 × 22 × 731
LCM(287,292) = 83804
Related Least Common Multiples of 287
- LCM of 287 and 291
- LCM of 287 and 292
- LCM of 287 and 293
- LCM of 287 and 294
- LCM of 287 and 295
- LCM of 287 and 296
- LCM of 287 and 297
- LCM of 287 and 298
- LCM of 287 and 299
- LCM of 287 and 300
- LCM of 287 and 301
- LCM of 287 and 302
- LCM of 287 and 303
- LCM of 287 and 304
- LCM of 287 and 305
- LCM of 287 and 306
- LCM of 287 and 307
Related Least Common Multiples of 292
- LCM of 292 and 296
- LCM of 292 and 297
- LCM of 292 and 298
- LCM of 292 and 299
- LCM of 292 and 300
- LCM of 292 and 301
- LCM of 292 and 302
- LCM of 292 and 303
- LCM of 292 and 304
- LCM of 292 and 305
- LCM of 292 and 306
- LCM of 292 and 307
- LCM of 292 and 308
- LCM of 292 and 309
- LCM of 292 and 310
- LCM of 292 and 311
- LCM of 292 and 312