Least Common Multiple of 264 and 271

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 271 the smallest integer that is 71544 that is divisible by both numbers.

Least Common Multiple (LCM) of 264 and 271 is 71544.

LCM(264,271) = 71544

LCM of 264 and 271

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

LCM of:
and

Least Common Multiple of 264 and 271

LCM of 264 and 271 is 71544

Least common multiple can be found by multiplying the highest exponent prime factors of 264 and 271. First we will calculate the prime factors of 264 and 271.

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 271


271 271
1

Prime factors of 271 are 271. Prime factorization of 271 in exponential form is:

271 = 2711

Now multiplying the highest exponent prime factors to calculate the LCM of 264 and 271.

LCM(264,271) = 23×31×111×2711
LCM(264,271) = 71544

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 271

List of positive integer factors of 271 that divides 271 without a remainder.

1, 271

Least Common Multiple of 264 and 271 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 271, than apply into the LCM equation.

GCF(264,271) = 1
LCM(264,271) = ( 264 × 271) / 1
LCM(264,271) = 71544 / 1
LCM(264,271) = 71544

Properties of LCM 264 and 271

(i) The LCM of 271 and 264 is associative

LCM of 264 and 271 = LCM of 271 and 264

Related Least Common Multiples of 264

Related Least Common Multiples of 271

Frequently Asked Questions on LCM of 264 and 271

1. What is the LCM of 264 and 271?

Answer: LCM of 264 and 271 is 71544.

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 271?

Answer: Factors of 271 are 1, 271. There are 2 integers that are factors of 271. The greatest factor of 271 is 271.

4. How to Find the LCM of 264 and 271?

Answer:

Least Common Multiple of 264 and 271 = 71544

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 271

271 = 271

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

LCM = 71544 = 2 x 2 x 2 x 3 x 11 x 271

Step 4: Therefore, the least common multiple of 264 and 271 is 71544.