What is the Least Common Multiple of 281 and 298?
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 298 is 83738.
LCM(281,298) = 83738
Least Common Multiple of 281 and 298 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 298, than apply into the LCM equation.
GCF(281,298) = 1
LCM(281,298) = ( 281 × 298) / 1
LCM(281,298) = 83738 / 1
LCM(281,298) = 83738
Least Common Multiple (LCM) of 281 and 298 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 281 and 298. First we will calculate the prime factors of 281 and 298.
Prime Factorization of 281
Prime factors of 281 are 281. Prime factorization of 281 in exponential form is:
281 = 2811
Prime Factorization of 298
Prime factors of 298 are 2, 149. Prime factorization of 298 in exponential form is:
298 = 21 × 1491
Now multiplying the highest exponent prime factors to calculate the LCM of 281 and 298.
LCM(281,298) = 2811 × 21 × 1491
LCM(281,298) = 83738
Related Least Common Multiples of 281
- LCM of 281 and 285
- LCM of 281 and 286
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- LCM of 281 and 288
- LCM of 281 and 289
- LCM of 281 and 290
- LCM of 281 and 291
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- LCM of 281 and 297
- LCM of 281 and 298
- LCM of 281 and 299
- LCM of 281 and 300
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Related Least Common Multiples of 298
- LCM of 298 and 302
- LCM of 298 and 303
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- LCM of 298 and 305
- LCM of 298 and 306
- LCM of 298 and 307
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