Least Common Multiple of 7268 and 7276

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7268 and 7276 the smallest integer that is 13220492 that is divisible by both numbers.

Least Common Multiple (LCM) of 7268 and 7276 is 13220492.

LCM(7268,7276) = 13220492

LCM of 7268 and 7276

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

LCM of:
and

Least Common Multiple of 7268 and 7276

LCM of 7268 and 7276 is 13220492

Least common multiple can be found by multiplying the highest exponent prime factors of 7268 and 7276. First we will calculate the prime factors of 7268 and 7276.

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

Prime Factorization of 7276


2 7276
2 3638
17 1819
107 107
1

Prime factors of 7276 are 2, 17,107. Prime factorization of 7276 in exponential form is:

7276 = 22×171×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 7268 and 7276.

LCM(7268,7276) = 22×171×231×791×1071
LCM(7268,7276) = 13220492

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

Factors of 7276

List of positive integer factors of 7276 that divides 7276 without a remainder.

1, 2, 4, 17, 34, 68, 107, 214, 428, 1819, 3638, 7276

Least Common Multiple of 7268 and 7276 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7268 and 7276, than apply into the LCM equation.

GCF(7268,7276) = 4
LCM(7268,7276) = ( 7268 × 7276) / 4
LCM(7268,7276) = 52881968 / 4
LCM(7268,7276) = 13220492

Properties of LCM 7268 and 7276

(i) The LCM of 7276 and 7268 is associative

LCM of 7268 and 7276 = LCM of 7276 and 7268

Related Least Common Multiples of 7268

Related Least Common Multiples of 7276

Frequently Asked Questions on LCM of 7268 and 7276

1. What is the LCM of 7268 and 7276?

Answer: LCM of 7268 and 7276 is 13220492.

2. 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.

3. What are the Factors of 7276?

Answer: Factors of 7276 are 1, 2, 4, 17, 34, 68, 107, 214, 428, 1819, 3638, 7276. There are 12 integers that are factors of 7276. The greatest factor of 7276 is 7276.

4. How to Find the LCM of 7268 and 7276?

Answer:

Least Common Multiple of 7268 and 7276 = 13220492

Step 1: Find the prime factorization of 7268

7268 = 2 x 2 x 23 x 79

Step 2: Find the prime factorization of 7276

7276 = 2 x 2 x 17 x 107

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

LCM = 13220492 = 2 x 2 x 17 x 23 x 79 x 107

Step 4: Therefore, the least common multiple of 7268 and 7276 is 13220492.