Least Common Multiple of 7480 and 7485

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 7485 the smallest integer that is 11197560 that is divisible by both numbers.

Least Common Multiple (LCM) of 7480 and 7485 is 11197560.

LCM(7480,7485) = 11197560

LCM of 7480 and 7485

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

LCM of:
and

Least Common Multiple of 7480 and 7485

LCM of 7480 and 7485 is 11197560

Least common multiple can be found by multiplying the highest exponent prime factors of 7480 and 7485. First we will calculate the prime factors of 7480 and 7485.

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 7485


3 7485
5 2495
499 499
1

Prime factors of 7485 are 3, 5,499. Prime factorization of 7485 in exponential form is:

7485 = 31×51×4991

Now multiplying the highest exponent prime factors to calculate the LCM of 7480 and 7485.

LCM(7480,7485) = 23×31×51×111×171×4991
LCM(7480,7485) = 11197560

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 7485

List of positive integer factors of 7485 that divides 7485 without a remainder.

1, 3, 5, 15, 499, 1497, 2495, 7485

Least Common Multiple of 7480 and 7485 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 7485, than apply into the LCM equation.

GCF(7480,7485) = 5
LCM(7480,7485) = ( 7480 × 7485) / 5
LCM(7480,7485) = 55987800 / 5
LCM(7480,7485) = 11197560

Properties of LCM 7480 and 7485

(i) The LCM of 7485 and 7480 is associative

LCM of 7480 and 7485 = LCM of 7485 and 7480

Related Least Common Multiples of 7480

Related Least Common Multiples of 7485

Frequently Asked Questions on LCM of 7480 and 7485

1. What is the LCM of 7480 and 7485?

Answer: LCM of 7480 and 7485 is 11197560.

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 7485?

Answer: Factors of 7485 are 1, 3, 5, 15, 499, 1497, 2495, 7485. There are 8 integers that are factors of 7485. The greatest factor of 7485 is 7485.

4. How to Find the LCM of 7480 and 7485?

Answer:

Least Common Multiple of 7480 and 7485 = 11197560

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 7485

7485 = 3 x 5 x 499

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

LCM = 11197560 = 2 x 2 x 2 x 3 x 5 x 11 x 17 x 499

Step 4: Therefore, the least common multiple of 7480 and 7485 is 11197560.