Least Common Multiple of 7480 and 7484

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7480 and 7484 the smallest integer that is 13995080 that is divisible by both numbers.

Least Common Multiple (LCM) of 7480 and 7484 is 13995080.

LCM(7480,7484) = 13995080

LCM of 7480 and 7484

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

LCM of:
and

Least Common Multiple of 7480 and 7484

LCM of 7480 and 7484 is 13995080

Least common multiple can be found by multiplying the highest exponent prime factors of 7480 and 7484. First we will calculate the prime factors of 7480 and 7484.

Prime Factorization of 7480


2 7480
2 3740
2 1870
5 935
11 187
17 17
1

Prime factors of 7480 are 2, 5, 11,17. Prime factorization of 7480 in exponential form is:

7480 = 23×51×111×171

Prime Factorization of 7484


2 7484
2 3742
1871 1871
1

Prime factors of 7484 are 2,1871. Prime factorization of 7484 in exponential form is:

7484 = 22×18711

Now multiplying the highest exponent prime factors to calculate the LCM of 7480 and 7484.

LCM(7480,7484) = 23×51×111×171×18711
LCM(7480,7484) = 13995080

Factors of 7480

List of positive integer factors of 7480 that divides 7480 without a remainder.

1, 2, 4, 5, 8, 10, 11, 17, 20, 22, 34, 40, 44, 55, 68, 85, 88, 110, 136, 170, 187, 220, 340, 374, 440, 680, 748, 935, 1496, 1870, 3740, 7480

Factors of 7484

List of positive integer factors of 7484 that divides 7484 without a remainder.

1, 2, 4, 1871, 3742, 7484

Least Common Multiple of 7480 and 7484 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7480 and 7484, than apply into the LCM equation.

GCF(7480,7484) = 4
LCM(7480,7484) = ( 7480 × 7484) / 4
LCM(7480,7484) = 55980320 / 4
LCM(7480,7484) = 13995080

Properties of LCM 7480 and 7484

(i) The LCM of 7484 and 7480 is associative

LCM of 7480 and 7484 = LCM of 7484 and 7480

Related Least Common Multiples of 7480

Related Least Common Multiples of 7484

Frequently Asked Questions on LCM of 7480 and 7484

1. What is the LCM of 7480 and 7484?

Answer: LCM of 7480 and 7484 is 13995080.

2. What are the Factors of 7480?

Answer: Factors of 7480 are 1, 2, 4, 5, 8, 10, 11, 17, 20, 22, 34, 40, 44, 55, 68, 85, 88, 110, 136, 170, 187, 220, 340, 374, 440, 680, 748, 935, 1496, 1870, 3740, 7480. There are 32 integers that are factors of 7480. The greatest factor of 7480 is 7480.

3. What are the Factors of 7484?

Answer: Factors of 7484 are 1, 2, 4, 1871, 3742, 7484. There are 6 integers that are factors of 7484. The greatest factor of 7484 is 7484.

4. How to Find the LCM of 7480 and 7484?

Answer:

Least Common Multiple of 7480 and 7484 = 13995080

Step 1: Find the prime factorization of 7480

7480 = 2 x 2 x 2 x 5 x 11 x 17

Step 2: Find the prime factorization of 7484

7484 = 2 x 2 x 1871

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

LCM = 13995080 = 2 x 2 x 2 x 5 x 11 x 17 x 1871

Step 4: Therefore, the least common multiple of 7480 and 7484 is 13995080.