Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1258 and 1266 the smallest integer that is 796314 that is divisible by both numbers.
Least Common Multiple (LCM) of 1258 and 1266 is 796314.
LCM(1258,1266) = 796314
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 1258 and 1266. First we will calculate the prime factors of 1258 and 1266.
Prime Factorization of 1258
2 | 1258 |
17 | 629 |
37 | 37 |
1 |
Prime factors of 1258 are 2, 17,37. Prime factorization of 1258 in exponential form is:
1258 = 21×171×371
Prime Factorization of 1266
2 | 1266 |
3 | 633 |
211 | 211 |
1 |
Prime factors of 1266 are 2, 3,211. Prime factorization of 1266 in exponential form is:
1266 = 21×31×2111
Now multiplying the highest exponent prime factors to calculate the LCM of 1258 and 1266.
LCM(1258,1266) = 21×31×171×371×2111
LCM(1258,1266) = 796314
Factors of 1258
List of positive integer factors of 1258 that divides 1258 without a remainder.
1, 2, 17, 34, 37, 74, 629, 1258
Factors of 1266
List of positive integer factors of 1266 that divides 1266 without a remainder.
1, 2, 3, 6, 211, 422, 633, 1266
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1258 and 1266, than apply into the LCM equation.
GCF(1258,1266) = 2
LCM(1258,1266) = ( 1258 × 1266) / 2
LCM(1258,1266) = 1592628 / 2
LCM(1258,1266) = 796314
(i) The LCM of 1266 and 1258 is associative
LCM of 1258 and 1266 = LCM of 1266 and 1258
1. What is the LCM of 1258 and 1266?
Answer: LCM of 1258 and 1266 is 796314.
2. What are the Factors of 1258?
Answer: Factors of 1258 are 1, 2, 17, 34, 37, 74, 629, 1258. There are 8 integers that are factors of 1258. The greatest factor of 1258 is 1258.
3. What are the Factors of 1266?
Answer: Factors of 1266 are 1, 2, 3, 6, 211, 422, 633, 1266. There are 8 integers that are factors of 1266. The greatest factor of 1266 is 1266.
4. How to Find the LCM of 1258 and 1266?
Answer:
Least Common Multiple of 1258 and 1266 = 796314
Step 1: Find the prime factorization of 1258
1258 = 2 x 17 x 37
Step 2: Find the prime factorization of 1266
1266 = 2 x 3 x 211
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 796314 = 2 x 3 x 17 x 37 x 211
Step 4: Therefore, the least common multiple of 1258 and 1266 is 796314.