Least Common Multiple of 1258 and 1266

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

LCM of 1258 and 1266

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 1258 and 1266

LCM of 1258 and 1266 is 796314

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

Least Common Multiple of 1258 and 1266 with GCF Formula

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

Properties of LCM 1258 and 1266

(i) The LCM of 1266 and 1258 is associative

LCM of 1258 and 1266 = LCM of 1266 and 1258

Frequently Asked Questions on LCM of 1258 and 1266

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.