Least Common Multiple of 264 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 264 and 267 the smallest integer that is 23496 that is divisible by both numbers.

Least Common Multiple (LCM) of 264 and 267 is 23496.

LCM(264,267) = 23496

LCM of 264 and 267

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

LCM of:
and

Least Common Multiple of 264 and 267

LCM of 264 and 267 is 23496

Least common multiple can be found by multiplying the highest exponent prime factors of 264 and 267. First we will calculate the prime factors of 264 and 267.

Prime Factorization of 264


2 264
2 132
2 66
3 33
11 11
1

Prime factors of 264 are 2, 3,11. Prime factorization of 264 in exponential form is:

264 = 23×31×111

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 264 and 267.

LCM(264,267) = 23×31×111×891
LCM(264,267) = 23496

Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Factors of 267

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

1, 3, 89, 267

Least Common Multiple of 264 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 264 and 267, than apply into the LCM equation.

GCF(264,267) = 3
LCM(264,267) = ( 264 × 267) / 3
LCM(264,267) = 70488 / 3
LCM(264,267) = 23496

Properties of LCM 264 and 267

(i) The LCM of 267 and 264 is associative

LCM of 264 and 267 = LCM of 267 and 264

Related Least Common Multiples of 264

Related Least Common Multiples of 267

Frequently Asked Questions on LCM of 264 and 267

1. What is the LCM of 264 and 267?

Answer: LCM of 264 and 267 is 23496.

2. What are the Factors of 264?

Answer: Factors of 264 are 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264. There are 16 integers that are factors of 264. The greatest factor of 264 is 264.

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 264 and 267?

Answer:

Least Common Multiple of 264 and 267 = 23496

Step 1: Find the prime factorization of 264

264 = 2 x 2 x 2 x 3 x 11

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 = 23496 = 2 x 2 x 2 x 3 x 11 x 89

Step 4: Therefore, the least common multiple of 264 and 267 is 23496.