Least Common Multiple of 7491 and 7497

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7491 and 7497 the smallest integer that is 18720009 that is divisible by both numbers.

Least Common Multiple (LCM) of 7491 and 7497 is 18720009.

LCM(7491,7497) = 18720009

LCM of 7491 and 7497

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

LCM of:
and

Least Common Multiple of 7491 and 7497

LCM of 7491 and 7497 is 18720009

Least common multiple can be found by multiplying the highest exponent prime factors of 7491 and 7497. First we will calculate the prime factors of 7491 and 7497.

Prime Factorization of 7491


3 7491
11 2497
227 227
1

Prime factors of 7491 are 3, 11,227. Prime factorization of 7491 in exponential form is:

7491 = 31×111×2271

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7491 and 7497.

LCM(7491,7497) = 32×72×111×171×2271
LCM(7491,7497) = 18720009

Factors of 7491

List of positive integer factors of 7491 that divides 7491 without a remainder.

1, 3, 11, 33, 227, 681, 2497, 7491

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

Least Common Multiple of 7491 and 7497 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7491 and 7497, than apply into the LCM equation.

GCF(7491,7497) = 3
LCM(7491,7497) = ( 7491 × 7497) / 3
LCM(7491,7497) = 56160027 / 3
LCM(7491,7497) = 18720009

Properties of LCM 7491 and 7497

(i) The LCM of 7497 and 7491 is associative

LCM of 7491 and 7497 = LCM of 7497 and 7491

Related Least Common Multiples of 7491

Related Least Common Multiples of 7497

Frequently Asked Questions on LCM of 7491 and 7497

1. What is the LCM of 7491 and 7497?

Answer: LCM of 7491 and 7497 is 18720009.

2. What are the Factors of 7491?

Answer: Factors of 7491 are 1, 3, 11, 33, 227, 681, 2497, 7491. There are 8 integers that are factors of 7491. The greatest factor of 7491 is 7491.

3. 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.

4. How to Find the LCM of 7491 and 7497?

Answer:

Least Common Multiple of 7491 and 7497 = 18720009

Step 1: Find the prime factorization of 7491

7491 = 3 x 11 x 227

Step 2: Find the prime factorization of 7497

7497 = 3 x 3 x 7 x 7 x 17

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

LCM = 18720009 = 3 x 3 x 7 x 7 x 11 x 17 x 227

Step 4: Therefore, the least common multiple of 7491 and 7497 is 18720009.