Least Common Multiple of 1262 and 1268

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 1268 the smallest integer that is 800108 that is divisible by both numbers.

Least Common Multiple (LCM) of 1262 and 1268 is 800108.

LCM(1262,1268) = 800108

LCM of 1262 and 1268

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

LCM of:
and

Least Common Multiple of 1262 and 1268

LCM of 1262 and 1268 is 800108

Least common multiple can be found by multiplying the highest exponent prime factors of 1262 and 1268. First we will calculate the prime factors of 1262 and 1268.

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 1268


2 1268
2 634
317 317
1

Prime factors of 1268 are 2,317. Prime factorization of 1268 in exponential form is:

1268 = 22×3171

Now multiplying the highest exponent prime factors to calculate the LCM of 1262 and 1268.

LCM(1262,1268) = 22×3171×6311
LCM(1262,1268) = 800108

Factors of 1262

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

1, 2, 631, 1262

Factors of 1268

List of positive integer factors of 1268 that divides 1268 without a remainder.

1, 2, 4, 317, 634, 1268

Least Common Multiple of 1262 and 1268 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 1268, than apply into the LCM equation.

GCF(1262,1268) = 2
LCM(1262,1268) = ( 1262 × 1268) / 2
LCM(1262,1268) = 1600216 / 2
LCM(1262,1268) = 800108

Properties of LCM 1262 and 1268

(i) The LCM of 1268 and 1262 is associative

LCM of 1262 and 1268 = LCM of 1268 and 1262

Related Least Common Multiples of 1262

Related Least Common Multiples of 1268

Frequently Asked Questions on LCM of 1262 and 1268

1. What is the LCM of 1262 and 1268?

Answer: LCM of 1262 and 1268 is 800108.

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 1268?

Answer: Factors of 1268 are 1, 2, 4, 317, 634, 1268. There are 6 integers that are factors of 1268. The greatest factor of 1268 is 1268.

4. How to Find the LCM of 1262 and 1268?

Answer:

Least Common Multiple of 1262 and 1268 = 800108

Step 1: Find the prime factorization of 1262

1262 = 2 x 631

Step 2: Find the prime factorization of 1268

1268 = 2 x 2 x 317

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 800108 = 2 x 2 x 317 x 631

Step 4: Therefore, the least common multiple of 1262 and 1268 is 800108.