Least Common Multiple of 10262 and 10266

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10262 and 10266 the smallest integer that is 52674846 that is divisible by both numbers.

Least Common Multiple (LCM) of 10262 and 10266 is 52674846.

LCM(10262,10266) = 52674846

LCM of 10262 and 10266

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

LCM of:
and

Least Common Multiple of 10262 and 10266

LCM of 10262 and 10266 is 52674846

Least common multiple can be found by multiplying the highest exponent prime factors of 10262 and 10266. First we will calculate the prime factors of 10262 and 10266.

Prime Factorization of 10262


2 10262
7 5131
733 733
1

Prime factors of 10262 are 2, 7,733. Prime factorization of 10262 in exponential form is:

10262 = 21×71×7331

Prime Factorization of 10266


2 10266
3 5133
29 1711
59 59
1

Prime factors of 10266 are 2, 3, 29,59. Prime factorization of 10266 in exponential form is:

10266 = 21×31×291×591

Now multiplying the highest exponent prime factors to calculate the LCM of 10262 and 10266.

LCM(10262,10266) = 21×31×71×291×591×7331
LCM(10262,10266) = 52674846

Factors of 10262

List of positive integer factors of 10262 that divides 10262 without a remainder.

1, 2, 7, 14, 733, 1466, 5131, 10262

Factors of 10266

List of positive integer factors of 10266 that divides 10266 without a remainder.

1, 2, 3, 6, 29, 58, 59, 87, 118, 174, 177, 354, 1711, 3422, 5133, 10266

Least Common Multiple of 10262 and 10266 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10262 and 10266, than apply into the LCM equation.

GCF(10262,10266) = 2
LCM(10262,10266) = ( 10262 × 10266) / 2
LCM(10262,10266) = 105349692 / 2
LCM(10262,10266) = 52674846

Properties of LCM 10262 and 10266

(i) The LCM of 10266 and 10262 is associative

LCM of 10262 and 10266 = LCM of 10266 and 10262

Related Least Common Multiples of 10262

Related Least Common Multiples of 10266

Frequently Asked Questions on LCM of 10262 and 10266

1. What is the LCM of 10262 and 10266?

Answer: LCM of 10262 and 10266 is 52674846.

2. What are the Factors of 10262?

Answer: Factors of 10262 are 1, 2, 7, 14, 733, 1466, 5131, 10262. There are 8 integers that are factors of 10262. The greatest factor of 10262 is 10262.

3. What are the Factors of 10266?

Answer: Factors of 10266 are 1, 2, 3, 6, 29, 58, 59, 87, 118, 174, 177, 354, 1711, 3422, 5133, 10266. There are 16 integers that are factors of 10266. The greatest factor of 10266 is 10266.

4. How to Find the LCM of 10262 and 10266?

Answer:

Least Common Multiple of 10262 and 10266 = 52674846

Step 1: Find the prime factorization of 10262

10262 = 2 x 7 x 733

Step 2: Find the prime factorization of 10266

10266 = 2 x 3 x 29 x 59

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

LCM = 52674846 = 2 x 3 x 7 x 29 x 59 x 733

Step 4: Therefore, the least common multiple of 10262 and 10266 is 52674846.