Least Common Multiple of 7497 and 7502

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7497 and 7502 the smallest integer that is 56242494 that is divisible by both numbers.

Least Common Multiple (LCM) of 7497 and 7502 is 56242494.

LCM(7497,7502) = 56242494

LCM of 7497 and 7502

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

LCM of:
and

Least Common Multiple of 7497 and 7502

LCM of 7497 and 7502 is 56242494

Least common multiple can be found by multiplying the highest exponent prime factors of 7497 and 7502. First we will calculate the prime factors of 7497 and 7502.

Prime Factorization of 7497


3 7497
3 2499
7 833
7 119
17 17
1

Prime factors of 7497 are 3, 7,17. Prime factorization of 7497 in exponential form is:

7497 = 32×72×171

Prime Factorization of 7502


2 7502
11 3751
11 341
31 31
1

Prime factors of 7502 are 2, 11,31. Prime factorization of 7502 in exponential form is:

7502 = 21×112×311

Now multiplying the highest exponent prime factors to calculate the LCM of 7497 and 7502.

LCM(7497,7502) = 21×32×72×112×171×311
LCM(7497,7502) = 56242494

Factors of 7497

List of positive integer factors of 7497 that divides 7497 without a remainder.

1, 3, 7, 9, 17, 21, 49, 51, 63, 119, 147, 153, 357, 441, 833, 1071, 2499, 7497

Factors of 7502

List of positive integer factors of 7502 that divides 7502 without a remainder.

1, 2, 11, 22, 31, 62, 121, 242, 341, 682, 3751, 7502

Least Common Multiple of 7497 and 7502 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7497 and 7502, than apply into the LCM equation.

GCF(7497,7502) = 1
LCM(7497,7502) = ( 7497 × 7502) / 1
LCM(7497,7502) = 56242494 / 1
LCM(7497,7502) = 56242494

Properties of LCM 7497 and 7502

(i) The LCM of 7502 and 7497 is associative

LCM of 7497 and 7502 = LCM of 7502 and 7497

Related Least Common Multiples of 7497

Related Least Common Multiples of 7502

Frequently Asked Questions on LCM of 7497 and 7502

1. What is the LCM of 7497 and 7502?

Answer: LCM of 7497 and 7502 is 56242494.

2. What are the Factors of 7497?

Answer: Factors of 7497 are 1, 3, 7, 9, 17, 21, 49, 51, 63, 119, 147, 153, 357, 441, 833, 1071, 2499, 7497. There are 18 integers that are factors of 7497. The greatest factor of 7497 is 7497.

3. What are the Factors of 7502?

Answer: Factors of 7502 are 1, 2, 11, 22, 31, 62, 121, 242, 341, 682, 3751, 7502. There are 12 integers that are factors of 7502. The greatest factor of 7502 is 7502.

4. How to Find the LCM of 7497 and 7502?

Answer:

Least Common Multiple of 7497 and 7502 = 56242494

Step 1: Find the prime factorization of 7497

7497 = 3 x 3 x 7 x 7 x 17

Step 2: Find the prime factorization of 7502

7502 = 2 x 11 x 11 x 31

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

LCM = 56242494 = 2 x 3 x 3 x 7 x 7 x 11 x 11 x 17 x 31

Step 4: Therefore, the least common multiple of 7497 and 7502 is 56242494.