Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 261 and 263 the smallest integer that is 68643 that is divisible by both numbers.
Least Common Multiple (LCM) of 261 and 263 is 68643.
LCM(261,263) = 68643
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 261 and 263. First we will calculate the prime factors of 261 and 263.
Prime Factorization of 261
3 | 261 |
3 | 87 |
29 | 29 |
1 |
Prime factors of 261 are 3,29. Prime factorization of 261 in exponential form is:
261 = 32×291
Prime Factorization of 263
263 | 263 |
1 |
Prime factors of 263 are 263. Prime factorization of 263 in exponential form is:
263 = 2631
Now multiplying the highest exponent prime factors to calculate the LCM of 261 and 263.
LCM(261,263) = 32×291×2631
LCM(261,263) = 68643
Factors of 261
List of positive integer factors of 261 that divides 261 without a remainder.
1, 3, 9, 29, 87, 261
Factors of 263
List of positive integer factors of 263 that divides 263 without a remainder.
1, 263
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 261 and 263, than apply into the LCM equation.
GCF(261,263) = 1
LCM(261,263) = ( 261 × 263) / 1
LCM(261,263) = 68643 / 1
LCM(261,263) = 68643
(i) The LCM of 263 and 261 is associative
LCM of 261 and 263 = LCM of 263 and 261
1. What is the LCM of 261 and 263?
Answer: LCM of 261 and 263 is 68643.
2. What are the Factors of 261?
Answer: Factors of 261 are 1, 3, 9, 29, 87, 261. There are 6 integers that are factors of 261. The greatest factor of 261 is 261.
3. What are the Factors of 263?
Answer: Factors of 263 are 1, 263. There are 2 integers that are factors of 263. The greatest factor of 263 is 263.
4. How to Find the LCM of 261 and 263?
Answer:
Least Common Multiple of 261 and 263 = 68643
Step 1: Find the prime factorization of 261
261 = 3 x 3 x 29
Step 2: Find the prime factorization of 263
263 = 263
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 68643 = 3 x 3 x 29 x 263
Step 4: Therefore, the least common multiple of 261 and 263 is 68643.