Least Common Multiple of 262 and 265

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 265 the smallest integer that is 69430 that is divisible by both numbers.

Least Common Multiple (LCM) of 262 and 265 is 69430.

LCM(262,265) = 69430

LCM of 262 and 265

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

LCM of:
and

Least Common Multiple of 262 and 265

LCM of 262 and 265 is 69430

Least common multiple can be found by multiplying the highest exponent prime factors of 262 and 265. First we will calculate the prime factors of 262 and 265.

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 265


5 265
53 53
1

Prime factors of 265 are 5,53. Prime factorization of 265 in exponential form is:

265 = 51×531

Now multiplying the highest exponent prime factors to calculate the LCM of 262 and 265.

LCM(262,265) = 21×51×531×1311
LCM(262,265) = 69430

Factors of 262

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

1, 2, 131, 262

Factors of 265

List of positive integer factors of 265 that divides 265 without a remainder.

1, 5, 53, 265

Least Common Multiple of 262 and 265 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 265, than apply into the LCM equation.

GCF(262,265) = 1
LCM(262,265) = ( 262 × 265) / 1
LCM(262,265) = 69430 / 1
LCM(262,265) = 69430

Properties of LCM 262 and 265

(i) The LCM of 265 and 262 is associative

LCM of 262 and 265 = LCM of 265 and 262

Related Least Common Multiples of 262

Related Least Common Multiples of 265

Frequently Asked Questions on LCM of 262 and 265

1. What is the LCM of 262 and 265?

Answer: LCM of 262 and 265 is 69430.

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 265?

Answer: Factors of 265 are 1, 5, 53, 265. There are 4 integers that are factors of 265. The greatest factor of 265 is 265.

4. How to Find the LCM of 262 and 265?

Answer:

Least Common Multiple of 262 and 265 = 69430

Step 1: Find the prime factorization of 262

262 = 2 x 131

Step 2: Find the prime factorization of 265

265 = 5 x 53

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

LCM = 69430 = 2 x 5 x 53 x 131

Step 4: Therefore, the least common multiple of 262 and 265 is 69430.