Least Common Multiple of 7489 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 7489 and 7497 the smallest integer that is 56145033 that is divisible by both numbers.

Least Common Multiple (LCM) of 7489 and 7497 is 56145033.

LCM(7489,7497) = 56145033

LCM of 7489 and 7497

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

LCM of:
and

Least Common Multiple of 7489 and 7497

LCM of 7489 and 7497 is 56145033

Least common multiple can be found by multiplying the highest exponent prime factors of 7489 and 7497. First we will calculate the prime factors of 7489 and 7497.

Prime Factorization of 7489


7489 7489
1

Prime factors of 7489 are 7489. Prime factorization of 7489 in exponential form is:

7489 = 74891

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 7489 and 7497.

LCM(7489,7497) = 32×72×171×74891
LCM(7489,7497) = 56145033

Factors of 7489

List of positive integer factors of 7489 that divides 7489 without a remainder.

1, 7489

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 7489 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 7489 and 7497, than apply into the LCM equation.

GCF(7489,7497) = 1
LCM(7489,7497) = ( 7489 × 7497) / 1
LCM(7489,7497) = 56145033 / 1
LCM(7489,7497) = 56145033

Properties of LCM 7489 and 7497

(i) The LCM of 7497 and 7489 is associative

LCM of 7489 and 7497 = LCM of 7497 and 7489

Related Least Common Multiples of 7489

Related Least Common Multiples of 7497

Frequently Asked Questions on LCM of 7489 and 7497

1. What is the LCM of 7489 and 7497?

Answer: LCM of 7489 and 7497 is 56145033.

2. What are the Factors of 7489?

Answer: Factors of 7489 are 1, 7489. There are 2 integers that are factors of 7489. The greatest factor of 7489 is 7489.

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 7489 and 7497?

Answer:

Least Common Multiple of 7489 and 7497 = 56145033

Step 1: Find the prime factorization of 7489

7489 = 7489

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 = 56145033 = 3 x 3 x 7 x 7 x 17 x 7489

Step 4: Therefore, the least common multiple of 7489 and 7497 is 56145033.