What is the Least Common Multiple of 281 and 290?
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 290 is 81490.
LCM(281,290) = 81490
Least Common Multiple of 281 and 290 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 290, than apply into the LCM equation.
GCF(281,290) = 1
LCM(281,290) = ( 281 × 290) / 1
LCM(281,290) = 81490 / 1
LCM(281,290) = 81490
Least Common Multiple (LCM) of 281 and 290 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 281 and 290. First we will calculate the prime factors of 281 and 290.
Prime Factorization of 281
Prime factors of 281 are 281. Prime factorization of 281 in exponential form is:
281 = 2811
Prime Factorization of 290
Prime factors of 290 are 2, 5, 29. Prime factorization of 290 in exponential form is:
290 = 21 × 51 × 291
Now multiplying the highest exponent prime factors to calculate the LCM of 281 and 290.
LCM(281,290) = 2811 × 21 × 51 × 291
LCM(281,290) = 81490
Related Least Common Multiples of 281
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- LCM of 281 and 290
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Related Least Common Multiples of 290
- LCM of 290 and 294
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