Least Common Multiple of 7275 and 7283

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7275 and 7283 the smallest integer that is 52983825 that is divisible by both numbers.

Least Common Multiple (LCM) of 7275 and 7283 is 52983825.

LCM(7275,7283) = 52983825

LCM of 7275 and 7283

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

LCM of:
and

Least Common Multiple of 7275 and 7283

LCM of 7275 and 7283 is 52983825

Least common multiple can be found by multiplying the highest exponent prime factors of 7275 and 7283. First we will calculate the prime factors of 7275 and 7283.

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

Prime Factorization of 7283


7283 7283
1

Prime factors of 7283 are 7283. Prime factorization of 7283 in exponential form is:

7283 = 72831

Now multiplying the highest exponent prime factors to calculate the LCM of 7275 and 7283.

LCM(7275,7283) = 31×52×971×72831
LCM(7275,7283) = 52983825

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

Factors of 7283

List of positive integer factors of 7283 that divides 7283 without a remainder.

1, 7283

Least Common Multiple of 7275 and 7283 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7275 and 7283, than apply into the LCM equation.

GCF(7275,7283) = 1
LCM(7275,7283) = ( 7275 × 7283) / 1
LCM(7275,7283) = 52983825 / 1
LCM(7275,7283) = 52983825

Properties of LCM 7275 and 7283

(i) The LCM of 7283 and 7275 is associative

LCM of 7275 and 7283 = LCM of 7283 and 7275

Related Least Common Multiples of 7275

Related Least Common Multiples of 7283

Frequently Asked Questions on LCM of 7275 and 7283

1. What is the LCM of 7275 and 7283?

Answer: LCM of 7275 and 7283 is 52983825.

2. 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.

3. What are the Factors of 7283?

Answer: Factors of 7283 are 1, 7283. There are 2 integers that are factors of 7283. The greatest factor of 7283 is 7283.

4. How to Find the LCM of 7275 and 7283?

Answer:

Least Common Multiple of 7275 and 7283 = 52983825

Step 1: Find the prime factorization of 7275

7275 = 3 x 5 x 5 x 97

Step 2: Find the prime factorization of 7283

7283 = 7283

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

LCM = 52983825 = 3 x 5 x 5 x 97 x 7283

Step 4: Therefore, the least common multiple of 7275 and 7283 is 52983825.