Least Common Multiple of 3257 and 3264

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3257 and 3264 the smallest integer that is 10630848 that is divisible by both numbers.

Least Common Multiple (LCM) of 3257 and 3264 is 10630848.

LCM(3257,3264) = 10630848

LCM of 3257 and 3264

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

LCM of:
and

Least Common Multiple of 3257 and 3264

LCM of 3257 and 3264 is 10630848

Least common multiple can be found by multiplying the highest exponent prime factors of 3257 and 3264. First we will calculate the prime factors of 3257 and 3264.

Prime Factorization of 3257


3257 3257
1

Prime factors of 3257 are 3257. Prime factorization of 3257 in exponential form is:

3257 = 32571

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3257 and 3264.

LCM(3257,3264) = 26×31×171×32571
LCM(3257,3264) = 10630848

Factors of 3257

List of positive integer factors of 3257 that divides 3257 without a remainder.

1, 3257

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

Least Common Multiple of 3257 and 3264 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3257 and 3264, than apply into the LCM equation.

GCF(3257,3264) = 1
LCM(3257,3264) = ( 3257 × 3264) / 1
LCM(3257,3264) = 10630848 / 1
LCM(3257,3264) = 10630848

Properties of LCM 3257 and 3264

(i) The LCM of 3264 and 3257 is associative

LCM of 3257 and 3264 = LCM of 3264 and 3257

Related Least Common Multiples of 3257

Related Least Common Multiples of 3264

Frequently Asked Questions on LCM of 3257 and 3264

1. What is the LCM of 3257 and 3264?

Answer: LCM of 3257 and 3264 is 10630848.

2. What are the Factors of 3257?

Answer: Factors of 3257 are 1, 3257. There are 2 integers that are factors of 3257. The greatest factor of 3257 is 3257.

3. 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.

4. How to Find the LCM of 3257 and 3264?

Answer:

Least Common Multiple of 3257 and 3264 = 10630848

Step 1: Find the prime factorization of 3257

3257 = 3257

Step 2: Find the prime factorization of 3264

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

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

LCM = 10630848 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 17 x 3257

Step 4: Therefore, the least common multiple of 3257 and 3264 is 10630848.