Least Common Multiple of 7247 and 7251

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7247 and 7251 the smallest integer that is 52547997 that is divisible by both numbers.

Least Common Multiple (LCM) of 7247 and 7251 is 52547997.

LCM(7247,7251) = 52547997

LCM of 7247 and 7251

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

LCM of:
and

Least Common Multiple of 7247 and 7251

LCM of 7247 and 7251 is 52547997

Least common multiple can be found by multiplying the highest exponent prime factors of 7247 and 7251. First we will calculate the prime factors of 7247 and 7251.

Prime Factorization of 7247


7247 7247
1

Prime factors of 7247 are 7247. Prime factorization of 7247 in exponential form is:

7247 = 72471

Prime Factorization of 7251


3 7251
2417 2417
1

Prime factors of 7251 are 3,2417. Prime factorization of 7251 in exponential form is:

7251 = 31×24171

Now multiplying the highest exponent prime factors to calculate the LCM of 7247 and 7251.

LCM(7247,7251) = 31×24171×72471
LCM(7247,7251) = 52547997

Factors of 7247

List of positive integer factors of 7247 that divides 7247 without a remainder.

1, 7247

Factors of 7251

List of positive integer factors of 7251 that divides 7251 without a remainder.

1, 3, 2417, 7251

Least Common Multiple of 7247 and 7251 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7247 and 7251, than apply into the LCM equation.

GCF(7247,7251) = 1
LCM(7247,7251) = ( 7247 × 7251) / 1
LCM(7247,7251) = 52547997 / 1
LCM(7247,7251) = 52547997

Properties of LCM 7247 and 7251

(i) The LCM of 7251 and 7247 is associative

LCM of 7247 and 7251 = LCM of 7251 and 7247

Related Least Common Multiples of 7247

Related Least Common Multiples of 7251

Frequently Asked Questions on LCM of 7247 and 7251

1. What is the LCM of 7247 and 7251?

Answer: LCM of 7247 and 7251 is 52547997.

2. What are the Factors of 7247?

Answer: Factors of 7247 are 1, 7247. There are 2 integers that are factors of 7247. The greatest factor of 7247 is 7247.

3. What are the Factors of 7251?

Answer: Factors of 7251 are 1, 3, 2417, 7251. There are 4 integers that are factors of 7251. The greatest factor of 7251 is 7251.

4. How to Find the LCM of 7247 and 7251?

Answer:

Least Common Multiple of 7247 and 7251 = 52547997

Step 1: Find the prime factorization of 7247

7247 = 7247

Step 2: Find the prime factorization of 7251

7251 = 3 x 2417

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

LCM = 52547997 = 3 x 2417 x 7247

Step 4: Therefore, the least common multiple of 7247 and 7251 is 52547997.