Least Common Multiple of 7264 and 7268

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7264 and 7268 the smallest integer that is 13198688 that is divisible by both numbers.

Least Common Multiple (LCM) of 7264 and 7268 is 13198688.

LCM(7264,7268) = 13198688

LCM of 7264 and 7268

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

LCM of:
and

Least Common Multiple of 7264 and 7268

LCM of 7264 and 7268 is 13198688

Least common multiple can be found by multiplying the highest exponent prime factors of 7264 and 7268. First we will calculate the prime factors of 7264 and 7268.

Prime Factorization of 7264


2 7264
2 3632
2 1816
2 908
2 454
227 227
1

Prime factors of 7264 are 2,227. Prime factorization of 7264 in exponential form is:

7264 = 25×2271

Prime Factorization of 7268


2 7268
2 3634
23 1817
79 79
1

Prime factors of 7268 are 2, 23,79. Prime factorization of 7268 in exponential form is:

7268 = 22×231×791

Now multiplying the highest exponent prime factors to calculate the LCM of 7264 and 7268.

LCM(7264,7268) = 25×231×791×2271
LCM(7264,7268) = 13198688

Factors of 7264

List of positive integer factors of 7264 that divides 7264 without a remainder.

1, 2, 4, 8, 16, 32, 227, 454, 908, 1816, 3632, 7264

Factors of 7268

List of positive integer factors of 7268 that divides 7268 without a remainder.

1, 2, 4, 23, 46, 79, 92, 158, 316, 1817, 3634, 7268

Least Common Multiple of 7264 and 7268 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7264 and 7268, than apply into the LCM equation.

GCF(7264,7268) = 4
LCM(7264,7268) = ( 7264 × 7268) / 4
LCM(7264,7268) = 52794752 / 4
LCM(7264,7268) = 13198688

Properties of LCM 7264 and 7268

(i) The LCM of 7268 and 7264 is associative

LCM of 7264 and 7268 = LCM of 7268 and 7264

Related Least Common Multiples of 7264

Related Least Common Multiples of 7268

Frequently Asked Questions on LCM of 7264 and 7268

1. What is the LCM of 7264 and 7268?

Answer: LCM of 7264 and 7268 is 13198688.

2. What are the Factors of 7264?

Answer: Factors of 7264 are 1, 2, 4, 8, 16, 32, 227, 454, 908, 1816, 3632, 7264. There are 12 integers that are factors of 7264. The greatest factor of 7264 is 7264.

3. What are the Factors of 7268?

Answer: Factors of 7268 are 1, 2, 4, 23, 46, 79, 92, 158, 316, 1817, 3634, 7268. There are 12 integers that are factors of 7268. The greatest factor of 7268 is 7268.

4. How to Find the LCM of 7264 and 7268?

Answer:

Least Common Multiple of 7264 and 7268 = 13198688

Step 1: Find the prime factorization of 7264

7264 = 2 x 2 x 2 x 2 x 2 x 227

Step 2: Find the prime factorization of 7268

7268 = 2 x 2 x 23 x 79

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

LCM = 13198688 = 2 x 2 x 2 x 2 x 2 x 23 x 79 x 227

Step 4: Therefore, the least common multiple of 7264 and 7268 is 13198688.