Least Common Multiple of 7252 and 7259

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7252 and 7259 the smallest integer that is 7520324 that is divisible by both numbers.

Least Common Multiple (LCM) of 7252 and 7259 is 7520324.

LCM(7252,7259) = 7520324

LCM of 7252 and 7259

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

LCM of:
and

Least Common Multiple of 7252 and 7259

LCM of 7252 and 7259 is 7520324

Least common multiple can be found by multiplying the highest exponent prime factors of 7252 and 7259. First we will calculate the prime factors of 7252 and 7259.

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

Prime Factorization of 7259


7 7259
17 1037
61 61
1

Prime factors of 7259 are 7, 17,61. Prime factorization of 7259 in exponential form is:

7259 = 71×171×611

Now multiplying the highest exponent prime factors to calculate the LCM of 7252 and 7259.

LCM(7252,7259) = 22×72×171×371×611
LCM(7252,7259) = 7520324

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

Factors of 7259

List of positive integer factors of 7259 that divides 7259 without a remainder.

1, 7, 17, 61, 119, 427, 1037, 7259

Least Common Multiple of 7252 and 7259 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7252 and 7259, than apply into the LCM equation.

GCF(7252,7259) = 7
LCM(7252,7259) = ( 7252 × 7259) / 7
LCM(7252,7259) = 52642268 / 7
LCM(7252,7259) = 7520324

Properties of LCM 7252 and 7259

(i) The LCM of 7259 and 7252 is associative

LCM of 7252 and 7259 = LCM of 7259 and 7252

Related Least Common Multiples of 7252

Related Least Common Multiples of 7259

Frequently Asked Questions on LCM of 7252 and 7259

1. What is the LCM of 7252 and 7259?

Answer: LCM of 7252 and 7259 is 7520324.

2. 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.

3. What are the Factors of 7259?

Answer: Factors of 7259 are 1, 7, 17, 61, 119, 427, 1037, 7259. There are 8 integers that are factors of 7259. The greatest factor of 7259 is 7259.

4. How to Find the LCM of 7252 and 7259?

Answer:

Least Common Multiple of 7252 and 7259 = 7520324

Step 1: Find the prime factorization of 7252

7252 = 2 x 2 x 7 x 7 x 37

Step 2: Find the prime factorization of 7259

7259 = 7 x 17 x 61

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

LCM = 7520324 = 2 x 2 x 7 x 7 x 17 x 37 x 61

Step 4: Therefore, the least common multiple of 7252 and 7259 is 7520324.