What is the Least Common Multiple of 279 and 283?
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 283 is 78957.
LCM(279,283) = 78957
Least Common Multiple of 279 and 283 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 283, than apply into the LCM equation.
GCF(279,283) = 1
LCM(279,283) = ( 279 × 283) / 1
LCM(279,283) = 78957 / 1
LCM(279,283) = 78957
Least Common Multiple (LCM) of 279 and 283 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 279 and 283. First we will calculate the prime factors of 279 and 283.
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 283
Prime factors of 283 are 283. Prime factorization of 283 in exponential form is:
283 = 2831
Now multiplying the highest exponent prime factors to calculate the LCM of 279 and 283.
LCM(279,283) = 32 × 311 × 2831
LCM(279,283) = 78957
Related Least Common Multiples of 279
- LCM of 279 and 283
- LCM of 279 and 284
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- LCM of 279 and 286
- LCM of 279 and 287
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- LCM of 279 and 289
- LCM of 279 and 290
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- LCM of 279 and 293
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Related Least Common Multiples of 283
- LCM of 283 and 287
- LCM of 283 and 288
- LCM of 283 and 289
- LCM of 283 and 290
- LCM of 283 and 291
- LCM of 283 and 292
- LCM of 283 and 293
- LCM of 283 and 294
- LCM of 283 and 295
- LCM of 283 and 296
- LCM of 283 and 297
- LCM of 283 and 298
- LCM of 283 and 299
- LCM of 283 and 300
- LCM of 283 and 301
- LCM of 283 and 302
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