Least Common Multiple of 1262 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 1262 and 1266 the smallest integer that is 798846 that is divisible by both numbers.

Least Common Multiple (LCM) of 1262 and 1266 is 798846.

LCM(1262,1266) = 798846

LCM of 1262 and 1266

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

LCM of:
and

Least Common Multiple of 1262 and 1266

LCM of 1262 and 1266 is 798846

Least common multiple can be found by multiplying the highest exponent prime factors of 1262 and 1266. First we will calculate the prime factors of 1262 and 1266.

Prime Factorization of 1262


2 1262
631 631
1

Prime factors of 1262 are 2,631. Prime factorization of 1262 in exponential form is:

1262 = 21×6311

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 1262 and 1266.

LCM(1262,1266) = 21×31×2111×6311
LCM(1262,1266) = 798846

Factors of 1262

List of positive integer factors of 1262 that divides 1262 without a remainder.

1, 2, 631, 1262

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 1262 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 1262 and 1266, than apply into the LCM equation.

GCF(1262,1266) = 2
LCM(1262,1266) = ( 1262 × 1266) / 2
LCM(1262,1266) = 1597692 / 2
LCM(1262,1266) = 798846

Properties of LCM 1262 and 1266

(i) The LCM of 1266 and 1262 is associative

LCM of 1262 and 1266 = LCM of 1266 and 1262

Related Least Common Multiples of 1262

Related Least Common Multiples of 1266

Frequently Asked Questions on LCM of 1262 and 1266

1. What is the LCM of 1262 and 1266?

Answer: LCM of 1262 and 1266 is 798846.

2. What are the Factors of 1262?

Answer: Factors of 1262 are 1, 2, 631, 1262. There are 4 integers that are factors of 1262. The greatest factor of 1262 is 1262.

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 1262 and 1266?

Answer:

Least Common Multiple of 1262 and 1266 = 798846

Step 1: Find the prime factorization of 1262

1262 = 2 x 631

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 = 798846 = 2 x 3 x 211 x 631

Step 4: Therefore, the least common multiple of 1262 and 1266 is 798846.