Least Common Multiple of 262 and 268

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 262 and 268 the smallest integer that is 35108 that is divisible by both numbers.

Least Common Multiple (LCM) of 262 and 268 is 35108.

LCM(262,268) = 35108

LCM of 262 and 268

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

LCM of:
and

Least Common Multiple of 262 and 268

LCM of 262 and 268 is 35108

Least common multiple can be found by multiplying the highest exponent prime factors of 262 and 268. First we will calculate the prime factors of 262 and 268.

Prime Factorization of 262


2 262
131 131
1

Prime factors of 262 are 2,131. Prime factorization of 262 in exponential form is:

262 = 21×1311

Prime Factorization of 268


2 268
2 134
67 67
1

Prime factors of 268 are 2,67. Prime factorization of 268 in exponential form is:

268 = 22×671

Now multiplying the highest exponent prime factors to calculate the LCM of 262 and 268.

LCM(262,268) = 22×671×1311
LCM(262,268) = 35108

Factors of 262

List of positive integer factors of 262 that divides 262 without a remainder.

1, 2, 131, 262

Factors of 268

List of positive integer factors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Least Common Multiple of 262 and 268 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 262 and 268, than apply into the LCM equation.

GCF(262,268) = 2
LCM(262,268) = ( 262 × 268) / 2
LCM(262,268) = 70216 / 2
LCM(262,268) = 35108

Properties of LCM 262 and 268

(i) The LCM of 268 and 262 is associative

LCM of 262 and 268 = LCM of 268 and 262

Related Least Common Multiples of 262

Related Least Common Multiples of 268

Frequently Asked Questions on LCM of 262 and 268

1. What is the LCM of 262 and 268?

Answer: LCM of 262 and 268 is 35108.

2. What are the Factors of 262?

Answer: Factors of 262 are 1, 2, 131, 262. There are 4 integers that are factors of 262. The greatest factor of 262 is 262.

3. What are the Factors of 268?

Answer: Factors of 268 are 1, 2, 4, 67, 134, 268. There are 6 integers that are factors of 268. The greatest factor of 268 is 268.

4. How to Find the LCM of 262 and 268?

Answer:

Least Common Multiple of 262 and 268 = 35108

Step 1: Find the prime factorization of 262

262 = 2 x 131

Step 2: Find the prime factorization of 268

268 = 2 x 2 x 67

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

LCM = 35108 = 2 x 2 x 67 x 131

Step 4: Therefore, the least common multiple of 262 and 268 is 35108.