What is the Least Common Multiple of 278 and 286?
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 278 and 286 is 39754.
LCM(278,286) = 39754
Least Common Multiple of 278 and 286 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 278 and 286, than apply into the LCM equation.
GCF(278,286) = 2
LCM(278,286) = ( 278 × 286) / 2
LCM(278,286) = 79508 / 2
LCM(278,286) = 39754
Least Common Multiple (LCM) of 278 and 286 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 278 and 286. First we will calculate the prime factors of 278 and 286.
Prime Factorization of 278
Prime factors of 278 are 2, 139. Prime factorization of 278 in exponential form is:
278 = 21 × 1391
Prime Factorization of 286
Prime factors of 286 are 2, 11, 13. Prime factorization of 286 in exponential form is:
286 = 21 × 111 × 131
Now multiplying the highest exponent prime factors to calculate the LCM of 278 and 286.
LCM(278,286) = 21 × 1391 × 111 × 131
LCM(278,286) = 39754
Related Least Common Multiples of 278
- LCM of 278 and 282
- LCM of 278 and 283
- LCM of 278 and 284
- LCM of 278 and 285
- LCM of 278 and 286
- LCM of 278 and 287
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Related Least Common Multiples of 286
- LCM of 286 and 290
- LCM of 286 and 291
- LCM of 286 and 292
- LCM of 286 and 293
- LCM of 286 and 294
- LCM of 286 and 295
- LCM of 286 and 296
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