Least Common Multiple of 262 and 267

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 267 the smallest integer that is 69954 that is divisible by both numbers.

Least Common Multiple (LCM) of 262 and 267 is 69954.

LCM(262,267) = 69954

LCM of 262 and 267

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

LCM of:
and

Least Common Multiple of 262 and 267

LCM of 262 and 267 is 69954

Least common multiple can be found by multiplying the highest exponent prime factors of 262 and 267. First we will calculate the prime factors of 262 and 267.

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 267


3 267
89 89
1

Prime factors of 267 are 3,89. Prime factorization of 267 in exponential form is:

267 = 31×891

Now multiplying the highest exponent prime factors to calculate the LCM of 262 and 267.

LCM(262,267) = 21×31×891×1311
LCM(262,267) = 69954

Factors of 262

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

1, 2, 131, 262

Factors of 267

List of positive integer factors of 267 that divides 267 without a remainder.

1, 3, 89, 267

Least Common Multiple of 262 and 267 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 267, than apply into the LCM equation.

GCF(262,267) = 1
LCM(262,267) = ( 262 × 267) / 1
LCM(262,267) = 69954 / 1
LCM(262,267) = 69954

Properties of LCM 262 and 267

(i) The LCM of 267 and 262 is associative

LCM of 262 and 267 = LCM of 267 and 262

Related Least Common Multiples of 262

Related Least Common Multiples of 267

Frequently Asked Questions on LCM of 262 and 267

1. What is the LCM of 262 and 267?

Answer: LCM of 262 and 267 is 69954.

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 267?

Answer: Factors of 267 are 1, 3, 89, 267. There are 4 integers that are factors of 267. The greatest factor of 267 is 267.

4. How to Find the LCM of 262 and 267?

Answer:

Least Common Multiple of 262 and 267 = 69954

Step 1: Find the prime factorization of 262

262 = 2 x 131

Step 2: Find the prime factorization of 267

267 = 3 x 89

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

LCM = 69954 = 2 x 3 x 89 x 131

Step 4: Therefore, the least common multiple of 262 and 267 is 69954.