Least Common Multiple of 3264 and 3271

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3264 and 3271 the smallest integer that is 10676544 that is divisible by both numbers.

Least Common Multiple (LCM) of 3264 and 3271 is 10676544.

LCM(3264,3271) = 10676544

LCM of 3264 and 3271

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

LCM of:
and

Least Common Multiple of 3264 and 3271

LCM of 3264 and 3271 is 10676544

Least common multiple can be found by multiplying the highest exponent prime factors of 3264 and 3271. First we will calculate the prime factors of 3264 and 3271.

Prime Factorization of 3264


2 3264
2 1632
2 816
2 408
2 204
2 102
3 51
17 17
1

Prime factors of 3264 are 2, 3,17. Prime factorization of 3264 in exponential form is:

3264 = 26×31×171

Prime Factorization of 3271


3271 3271
1

Prime factors of 3271 are 3271. Prime factorization of 3271 in exponential form is:

3271 = 32711

Now multiplying the highest exponent prime factors to calculate the LCM of 3264 and 3271.

LCM(3264,3271) = 26×31×171×32711
LCM(3264,3271) = 10676544

Factors of 3264

List of positive integer factors of 3264 that divides 3264 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 32, 34, 48, 51, 64, 68, 96, 102, 136, 192, 204, 272, 408, 544, 816, 1088, 1632, 3264

Factors of 3271

List of positive integer factors of 3271 that divides 3271 without a remainder.

1, 3271

Least Common Multiple of 3264 and 3271 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3264 and 3271, than apply into the LCM equation.

GCF(3264,3271) = 1
LCM(3264,3271) = ( 3264 × 3271) / 1
LCM(3264,3271) = 10676544 / 1
LCM(3264,3271) = 10676544

Properties of LCM 3264 and 3271

(i) The LCM of 3271 and 3264 is associative

LCM of 3264 and 3271 = LCM of 3271 and 3264

Related Least Common Multiples of 3264

Related Least Common Multiples of 3271

Frequently Asked Questions on LCM of 3264 and 3271

1. What is the LCM of 3264 and 3271?

Answer: LCM of 3264 and 3271 is 10676544.

2. What are the Factors of 3264?

Answer: Factors of 3264 are 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 32, 34, 48, 51, 64, 68, 96, 102, 136, 192, 204, 272, 408, 544, 816, 1088, 1632, 3264. There are 28 integers that are factors of 3264. The greatest factor of 3264 is 3264.

3. What are the Factors of 3271?

Answer: Factors of 3271 are 1, 3271. There are 2 integers that are factors of 3271. The greatest factor of 3271 is 3271.

4. How to Find the LCM of 3264 and 3271?

Answer:

Least Common Multiple of 3264 and 3271 = 10676544

Step 1: Find the prime factorization of 3264

3264 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 17

Step 2: Find the prime factorization of 3271

3271 = 3271

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

LCM = 10676544 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 17 x 3271

Step 4: Therefore, the least common multiple of 3264 and 3271 is 10676544.