Least Common Multiple of 7268 and 7275

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 7275 the smallest integer that is 52874700 that is divisible by both numbers.

Least Common Multiple (LCM) of 7268 and 7275 is 52874700.

LCM(7268,7275) = 52874700

LCM of 7268 and 7275

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

LCM of:
and

Least Common Multiple of 7268 and 7275

LCM of 7268 and 7275 is 52874700

Least common multiple can be found by multiplying the highest exponent prime factors of 7268 and 7275. First we will calculate the prime factors of 7268 and 7275.

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 7275


3 7275
5 2425
5 485
97 97
1

Prime factors of 7275 are 3, 5,97. Prime factorization of 7275 in exponential form is:

7275 = 31×52×971

Now multiplying the highest exponent prime factors to calculate the LCM of 7268 and 7275.

LCM(7268,7275) = 22×31×52×231×791×971
LCM(7268,7275) = 52874700

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 7275

List of positive integer factors of 7275 that divides 7275 without a remainder.

1, 3, 5, 15, 25, 75, 97, 291, 485, 1455, 2425, 7275

Least Common Multiple of 7268 and 7275 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 7275, than apply into the LCM equation.

GCF(7268,7275) = 1
LCM(7268,7275) = ( 7268 × 7275) / 1
LCM(7268,7275) = 52874700 / 1
LCM(7268,7275) = 52874700

Properties of LCM 7268 and 7275

(i) The LCM of 7275 and 7268 is associative

LCM of 7268 and 7275 = LCM of 7275 and 7268

Related Least Common Multiples of 7268

Related Least Common Multiples of 7275

Frequently Asked Questions on LCM of 7268 and 7275

1. What is the LCM of 7268 and 7275?

Answer: LCM of 7268 and 7275 is 52874700.

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 7275?

Answer: Factors of 7275 are 1, 3, 5, 15, 25, 75, 97, 291, 485, 1455, 2425, 7275. There are 12 integers that are factors of 7275. The greatest factor of 7275 is 7275.

4. How to Find the LCM of 7268 and 7275?

Answer:

Least Common Multiple of 7268 and 7275 = 52874700

Step 1: Find the prime factorization of 7268

7268 = 2 x 2 x 23 x 79

Step 2: Find the prime factorization of 7275

7275 = 3 x 5 x 5 x 97

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

LCM = 52874700 = 2 x 2 x 3 x 5 x 5 x 23 x 79 x 97

Step 4: Therefore, the least common multiple of 7268 and 7275 is 52874700.