What is the Least Common Multiple of 279 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 279 and 287 is 80073.
LCM(279,287) = 80073
Least Common Multiple of 279 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 279 and 287, than apply into the LCM equation.
GCF(279,287) = 1
LCM(279,287) = ( 279 × 287) / 1
LCM(279,287) = 80073 / 1
LCM(279,287) = 80073
Least Common Multiple (LCM) of 279 and 287 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 279 and 287. First we will calculate the prime factors of 279 and 287.
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 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 279 and 287.
LCM(279,287) = 32 × 311 × 71 × 411
LCM(279,287) = 80073
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
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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
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- LCM of 287 and 298
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