Least Common Multiple of 7247 and 7252

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 7252 the smallest integer that is 52555244 that is divisible by both numbers.

Least Common Multiple (LCM) of 7247 and 7252 is 52555244.

LCM(7247,7252) = 52555244

LCM of 7247 and 7252

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

LCM of:
and

Least Common Multiple of 7247 and 7252

LCM of 7247 and 7252 is 52555244

Least common multiple can be found by multiplying the highest exponent prime factors of 7247 and 7252. First we will calculate the prime factors of 7247 and 7252.

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 7252


2 7252
2 3626
7 1813
7 259
37 37
1

Prime factors of 7252 are 2, 7,37. Prime factorization of 7252 in exponential form is:

7252 = 22×72×371

Now multiplying the highest exponent prime factors to calculate the LCM of 7247 and 7252.

LCM(7247,7252) = 22×72×371×72471
LCM(7247,7252) = 52555244

Factors of 7247

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

1, 7247

Factors of 7252

List of positive integer factors of 7252 that divides 7252 without a remainder.

1, 2, 4, 7, 14, 28, 37, 49, 74, 98, 148, 196, 259, 518, 1036, 1813, 3626, 7252

Least Common Multiple of 7247 and 7252 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 7252, than apply into the LCM equation.

GCF(7247,7252) = 1
LCM(7247,7252) = ( 7247 × 7252) / 1
LCM(7247,7252) = 52555244 / 1
LCM(7247,7252) = 52555244

Properties of LCM 7247 and 7252

(i) The LCM of 7252 and 7247 is associative

LCM of 7247 and 7252 = LCM of 7252 and 7247

Related Least Common Multiples of 7247

Related Least Common Multiples of 7252

Frequently Asked Questions on LCM of 7247 and 7252

1. What is the LCM of 7247 and 7252?

Answer: LCM of 7247 and 7252 is 52555244.

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 7252?

Answer: Factors of 7252 are 1, 2, 4, 7, 14, 28, 37, 49, 74, 98, 148, 196, 259, 518, 1036, 1813, 3626, 7252. There are 18 integers that are factors of 7252. The greatest factor of 7252 is 7252.

4. How to Find the LCM of 7247 and 7252?

Answer:

Least Common Multiple of 7247 and 7252 = 52555244

Step 1: Find the prime factorization of 7247

7247 = 7247

Step 2: Find the prime factorization of 7252

7252 = 2 x 2 x 7 x 7 x 37

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

LCM = 52555244 = 2 x 2 x 7 x 7 x 37 x 7247

Step 4: Therefore, the least common multiple of 7247 and 7252 is 52555244.