Least Common Multiple of 259 and 267
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 259 and 267 the smallest integer that is 69153 that is divisible by both numbers.
Least Common Multiple (LCM) of 259 and 267 is 69153.
LCM(259,267) = 69153
LCM of 259 and 267
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 259 and 267 by Prime method
- Least Common Multiple of 259 and 267 with GCF Formula
LCM of 259 and 267 is 69153
Least common multiple can be found by multiplying the highest exponent prime factors of 259 and 267. First we will calculate the prime factors of 259 and 267.
Prime Factorization of 259
| 7 | 259 |
| 37 | 37 |
| 1 |
Prime factors of 259 are 7,37. Prime factorization of 259 in exponential form is:
259 = 71×371
Prime Factorization of 267
| 3 | 267 |
| 89 | 89 |
| 1 |
Prime factors of 267 are 3,89. Prime factorization of 267 in exponential form is:
267 = 31×891
Now multiplying the highest exponent prime factors to calculate the LCM of 259 and 267.
LCM(259,267) = 31×71×371×891
LCM(259,267) = 69153
Factors of 259
List of positive integer factors of 259 that divides 259 without a remainder.
1, 7, 37, 259
Factors of 267
List of positive integer factors of 267 that divides 267 without a remainder.
1, 3, 89, 267
Least Common Multiple of 259 and 267 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 259 and 267, than apply into the LCM equation.
GCF(259,267) = 1
LCM(259,267) = ( 259 × 267) / 1
LCM(259,267) = 69153 / 1
LCM(259,267) = 69153
Properties of LCM 259 and 267
(i) The LCM of 267 and 259 is associative
LCM of 259 and 267 = LCM of 267 and 259
Related Least Common Multiples of 259
Related Least Common Multiples of 267
Frequently Asked Questions on LCM of 259 and 267
1. What is the LCM of 259 and 267?
Answer: LCM of 259 and 267 is 69153.
2. What are the Factors of 259?
Answer: Factors of 259 are 1, 7, 37, 259. There are 4 integers that are factors of 259. The greatest factor of 259 is 259.
3. What are the Factors of 267?
Answer: Factors of 267 are 1, 3, 89, 267. There are 4 integers that are factors of 267. The greatest factor of 267 is 267.
4. How to Find the LCM of 259 and 267?
Answer:
Least Common Multiple of 259 and 267 = 69153
Step 1: Find the prime factorization of 259
259 = 7 x 37
Step 2: Find the prime factorization of 267
267 = 3 x 89
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 69153 = 3 x 7 x 37 x 89
Step 4: Therefore, the least common multiple of 259 and 267 is 69153.
