Least Common Multiple of 7490 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 7490 and 7497 the smallest integer that is 8021790 that is divisible by both numbers.

Least Common Multiple (LCM) of 7490 and 7497 is 8021790.

LCM(7490,7497) = 8021790

LCM of 7490 and 7497

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

LCM of:
and

Least Common Multiple of 7490 and 7497

LCM of 7490 and 7497 is 8021790

Least common multiple can be found by multiplying the highest exponent prime factors of 7490 and 7497. First we will calculate the prime factors of 7490 and 7497.

Prime Factorization of 7490


2 7490
5 3745
7 749
107 107
1

Prime factors of 7490 are 2, 5, 7,107. Prime factorization of 7490 in exponential form is:

7490 = 21×51×71×1071

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 7490 and 7497.

LCM(7490,7497) = 21×32×51×72×171×1071
LCM(7490,7497) = 8021790

Factors of 7490

List of positive integer factors of 7490 that divides 7490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 107, 214, 535, 749, 1070, 1498, 3745, 7490

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 7490 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 7490 and 7497, than apply into the LCM equation.

GCF(7490,7497) = 7
LCM(7490,7497) = ( 7490 × 7497) / 7
LCM(7490,7497) = 56152530 / 7
LCM(7490,7497) = 8021790

Properties of LCM 7490 and 7497

(i) The LCM of 7497 and 7490 is associative

LCM of 7490 and 7497 = LCM of 7497 and 7490

Related Least Common Multiples of 7490

Related Least Common Multiples of 7497

Frequently Asked Questions on LCM of 7490 and 7497

1. What is the LCM of 7490 and 7497?

Answer: LCM of 7490 and 7497 is 8021790.

2. What are the Factors of 7490?

Answer: Factors of 7490 are 1, 2, 5, 7, 10, 14, 35, 70, 107, 214, 535, 749, 1070, 1498, 3745, 7490. There are 16 integers that are factors of 7490. The greatest factor of 7490 is 7490.

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 7490 and 7497?

Answer:

Least Common Multiple of 7490 and 7497 = 8021790

Step 1: Find the prime factorization of 7490

7490 = 2 x 5 x 7 x 107

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 = 8021790 = 2 x 3 x 3 x 5 x 7 x 7 x 17 x 107

Step 4: Therefore, the least common multiple of 7490 and 7497 is 8021790.