Least Common Multiple of 7247 and 7253

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 7253 the smallest integer that is 52562491 that is divisible by both numbers.

Least Common Multiple (LCM) of 7247 and 7253 is 52562491.

LCM(7247,7253) = 52562491

LCM of 7247 and 7253

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

LCM of:
and

Least Common Multiple of 7247 and 7253

LCM of 7247 and 7253 is 52562491

Least common multiple can be found by multiplying the highest exponent prime factors of 7247 and 7253. First we will calculate the prime factors of 7247 and 7253.

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 7253


7253 7253
1

Prime factors of 7253 are 7253. Prime factorization of 7253 in exponential form is:

7253 = 72531

Now multiplying the highest exponent prime factors to calculate the LCM of 7247 and 7253.

LCM(7247,7253) = 72471×72531
LCM(7247,7253) = 52562491

Factors of 7247

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

1, 7247

Factors of 7253

List of positive integer factors of 7253 that divides 7253 without a remainder.

1, 7253

Least Common Multiple of 7247 and 7253 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 7253, than apply into the LCM equation.

GCF(7247,7253) = 1
LCM(7247,7253) = ( 7247 × 7253) / 1
LCM(7247,7253) = 52562491 / 1
LCM(7247,7253) = 52562491

Properties of LCM 7247 and 7253

(i) The LCM of 7253 and 7247 is associative

LCM of 7247 and 7253 = LCM of 7253 and 7247

Related Least Common Multiples of 7247

Related Least Common Multiples of 7253

Frequently Asked Questions on LCM of 7247 and 7253

1. What is the LCM of 7247 and 7253?

Answer: LCM of 7247 and 7253 is 52562491.

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 7253?

Answer: Factors of 7253 are 1, 7253. There are 2 integers that are factors of 7253. The greatest factor of 7253 is 7253.

4. How to Find the LCM of 7247 and 7253?

Answer:

Least Common Multiple of 7247 and 7253 = 52562491

Step 1: Find the prime factorization of 7247

7247 = 7247

Step 2: Find the prime factorization of 7253

7253 = 7253

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

LCM = 52562491 = 7247 x 7253

Step 4: Therefore, the least common multiple of 7247 and 7253 is 52562491.