What is the Least Common Multiple of 263 and 271?
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 263 and 271 is 71273.
LCM(263,271) = 71273
Least Common Multiple of 263 and 271 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 263 and 271, than apply into the LCM equation.
GCF(263,271) = 1
LCM(263,271) = ( 263 × 271) / 1
LCM(263,271) = 71273 / 1
LCM(263,271) = 71273
Least Common Multiple (LCM) of 263 and 271 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 263 and 271. First we will calculate the prime factors of 263 and 271.
Prime Factorization of 263
Prime factors of 263 are 263. Prime factorization of 263 in exponential form is:
263 = 2631
Prime Factorization of 271
Prime factors of 271 are 271. Prime factorization of 271 in exponential form is:
271 = 2711
Now multiplying the highest exponent prime factors to calculate the LCM of 263 and 271.
LCM(263,271) = 2631 × 2711
LCM(263,271) = 71273
Related Least Common Multiples of 263
- LCM of 263 and 267
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- LCM of 263 and 270
- LCM of 263 and 271
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Related Least Common Multiples of 271
- LCM of 271 and 275
- LCM of 271 and 276
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- LCM of 271 and 278
- LCM of 271 and 279
- LCM of 271 and 280
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