Least Common Multiple of 3264 and 3272

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 3272 the smallest integer that is 1334976 that is divisible by both numbers.

Least Common Multiple (LCM) of 3264 and 3272 is 1334976.

LCM(3264,3272) = 1334976

LCM of 3264 and 3272

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

LCM of:
and

Least Common Multiple of 3264 and 3272

LCM of 3264 and 3272 is 1334976

Least common multiple can be found by multiplying the highest exponent prime factors of 3264 and 3272. First we will calculate the prime factors of 3264 and 3272.

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 3272


2 3272
2 1636
2 818
409 409
1

Prime factors of 3272 are 2,409. Prime factorization of 3272 in exponential form is:

3272 = 23×4091

Now multiplying the highest exponent prime factors to calculate the LCM of 3264 and 3272.

LCM(3264,3272) = 26×31×171×4091
LCM(3264,3272) = 1334976

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 3272

List of positive integer factors of 3272 that divides 3272 without a remainder.

1, 2, 4, 8, 409, 818, 1636, 3272

Least Common Multiple of 3264 and 3272 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 3272, than apply into the LCM equation.

GCF(3264,3272) = 8
LCM(3264,3272) = ( 3264 × 3272) / 8
LCM(3264,3272) = 10679808 / 8
LCM(3264,3272) = 1334976

Properties of LCM 3264 and 3272

(i) The LCM of 3272 and 3264 is associative

LCM of 3264 and 3272 = LCM of 3272 and 3264

Related Least Common Multiples of 3264

Related Least Common Multiples of 3272

Frequently Asked Questions on LCM of 3264 and 3272

1. What is the LCM of 3264 and 3272?

Answer: LCM of 3264 and 3272 is 1334976.

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 3272?

Answer: Factors of 3272 are 1, 2, 4, 8, 409, 818, 1636, 3272. There are 8 integers that are factors of 3272. The greatest factor of 3272 is 3272.

4. How to Find the LCM of 3264 and 3272?

Answer:

Least Common Multiple of 3264 and 3272 = 1334976

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 3272

3272 = 2 x 2 x 2 x 409

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

LCM = 1334976 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 17 x 409

Step 4: Therefore, the least common multiple of 3264 and 3272 is 1334976.