What is the Least Common Multiple of 277 and 282?
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 277 and 282 is 78114.
LCM(277,282) = 78114
Least Common Multiple of 277 and 282 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 277 and 282, than apply into the LCM equation.
GCF(277,282) = 1
LCM(277,282) = ( 277 × 282) / 1
LCM(277,282) = 78114 / 1
LCM(277,282) = 78114
Least Common Multiple (LCM) of 277 and 282 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 277 and 282. First we will calculate the prime factors of 277 and 282.
Prime Factorization of 277
Prime factors of 277 are 277. Prime factorization of 277 in exponential form is:
277 = 2771
Prime Factorization of 282
Prime factors of 282 are 2, 3, 47. Prime factorization of 282 in exponential form is:
282 = 21 × 31 × 471
Now multiplying the highest exponent prime factors to calculate the LCM of 277 and 282.
LCM(277,282) = 2771 × 21 × 31 × 471
LCM(277,282) = 78114
Related Least Common Multiples of 277
- LCM of 277 and 281
- LCM of 277 and 282
- LCM of 277 and 283
- LCM of 277 and 284
- LCM of 277 and 285
- LCM of 277 and 286
- LCM of 277 and 287
- LCM of 277 and 288
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Related Least Common Multiples of 282
- LCM of 282 and 286
- LCM of 282 and 287
- LCM of 282 and 288
- LCM of 282 and 289
- LCM of 282 and 290
- LCM of 282 and 291
- LCM of 282 and 292
- LCM of 282 and 293
- LCM of 282 and 294
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- LCM of 282 and 298
- LCM of 282 and 299
- LCM of 282 and 300
- LCM of 282 and 301
- LCM of 282 and 302