What is the Least Common Multiple of 281 and 287?
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 281 and 287 is 80647.
LCM(281,287) = 80647
Least Common Multiple of 281 and 287 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 281 and 287, than apply into the LCM equation.
GCF(281,287) = 1
LCM(281,287) = ( 281 × 287) / 1
LCM(281,287) = 80647 / 1
LCM(281,287) = 80647
Least Common Multiple (LCM) of 281 and 287 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 281 and 287. First we will calculate the prime factors of 281 and 287.
Prime Factorization of 281
Prime factors of 281 are 281. Prime factorization of 281 in exponential form is:
281 = 2811
Prime Factorization of 287
Prime factors of 287 are 7, 41. Prime factorization of 287 in exponential form is:
287 = 71 × 411
Now multiplying the highest exponent prime factors to calculate the LCM of 281 and 287.
LCM(281,287) = 2811 × 71 × 411
LCM(281,287) = 80647
Related Least Common Multiples of 281
- LCM of 281 and 285
- LCM of 281 and 286
- LCM of 281 and 287
- LCM of 281 and 288
- LCM of 281 and 289
- LCM of 281 and 290
- LCM of 281 and 291
- LCM of 281 and 292
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- LCM of 281 and 295
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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
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