Least Common Multiple of 8268 and 8272

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8268 and 8272 the smallest integer that is 17098224 that is divisible by both numbers.

Least Common Multiple (LCM) of 8268 and 8272 is 17098224.

LCM(8268,8272) = 17098224

LCM of 8268 and 8272

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

LCM of:
and

Least Common Multiple of 8268 and 8272

LCM of 8268 and 8272 is 17098224

Least common multiple can be found by multiplying the highest exponent prime factors of 8268 and 8272. First we will calculate the prime factors of 8268 and 8272.

Prime Factorization of 8268


2 8268
2 4134
3 2067
13 689
53 53
1

Prime factors of 8268 are 2, 3, 13,53. Prime factorization of 8268 in exponential form is:

8268 = 22×31×131×531

Prime Factorization of 8272


2 8272
2 4136
2 2068
2 1034
11 517
47 47
1

Prime factors of 8272 are 2, 11,47. Prime factorization of 8272 in exponential form is:

8272 = 24×111×471

Now multiplying the highest exponent prime factors to calculate the LCM of 8268 and 8272.

LCM(8268,8272) = 24×31×111×131×471×531
LCM(8268,8272) = 17098224

Factors of 8268

List of positive integer factors of 8268 that divides 8268 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 53, 78, 106, 156, 159, 212, 318, 636, 689, 1378, 2067, 2756, 4134, 8268

Factors of 8272

List of positive integer factors of 8272 that divides 8272 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 47, 88, 94, 176, 188, 376, 517, 752, 1034, 2068, 4136, 8272

Least Common Multiple of 8268 and 8272 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8268 and 8272, than apply into the LCM equation.

GCF(8268,8272) = 4
LCM(8268,8272) = ( 8268 × 8272) / 4
LCM(8268,8272) = 68392896 / 4
LCM(8268,8272) = 17098224

Properties of LCM 8268 and 8272

(i) The LCM of 8272 and 8268 is associative

LCM of 8268 and 8272 = LCM of 8272 and 8268

Related Least Common Multiples of 8268

Related Least Common Multiples of 8272

Frequently Asked Questions on LCM of 8268 and 8272

1. What is the LCM of 8268 and 8272?

Answer: LCM of 8268 and 8272 is 17098224.

2. What are the Factors of 8268?

Answer: Factors of 8268 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 53, 78, 106, 156, 159, 212, 318, 636, 689, 1378, 2067, 2756, 4134, 8268. There are 24 integers that are factors of 8268. The greatest factor of 8268 is 8268.

3. What are the Factors of 8272?

Answer: Factors of 8272 are 1, 2, 4, 8, 11, 16, 22, 44, 47, 88, 94, 176, 188, 376, 517, 752, 1034, 2068, 4136, 8272. There are 20 integers that are factors of 8272. The greatest factor of 8272 is 8272.

4. How to Find the LCM of 8268 and 8272?

Answer:

Least Common Multiple of 8268 and 8272 = 17098224

Step 1: Find the prime factorization of 8268

8268 = 2 x 2 x 3 x 13 x 53

Step 2: Find the prime factorization of 8272

8272 = 2 x 2 x 2 x 2 x 11 x 47

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

LCM = 17098224 = 2 x 2 x 2 x 2 x 3 x 11 x 13 x 47 x 53

Step 4: Therefore, the least common multiple of 8268 and 8272 is 17098224.