Least Common Multiple of 7480 and 7481

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 7481 the smallest integer that is 55957880 that is divisible by both numbers.

Least Common Multiple (LCM) of 7480 and 7481 is 55957880.

LCM(7480,7481) = 55957880

LCM of 7480 and 7481

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

LCM of:
and

Least Common Multiple of 7480 and 7481

LCM of 7480 and 7481 is 55957880

Least common multiple can be found by multiplying the highest exponent prime factors of 7480 and 7481. First we will calculate the prime factors of 7480 and 7481.

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 7481


7481 7481
1

Prime factors of 7481 are 7481. Prime factorization of 7481 in exponential form is:

7481 = 74811

Now multiplying the highest exponent prime factors to calculate the LCM of 7480 and 7481.

LCM(7480,7481) = 23×51×111×171×74811
LCM(7480,7481) = 55957880

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 7481

List of positive integer factors of 7481 that divides 7481 without a remainder.

1, 7481

Least Common Multiple of 7480 and 7481 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 7481, than apply into the LCM equation.

GCF(7480,7481) = 1
LCM(7480,7481) = ( 7480 × 7481) / 1
LCM(7480,7481) = 55957880 / 1
LCM(7480,7481) = 55957880

Properties of LCM 7480 and 7481

(i) The LCM of 7481 and 7480 is associative

LCM of 7480 and 7481 = LCM of 7481 and 7480

Related Least Common Multiples of 7480

Related Least Common Multiples of 7481

Frequently Asked Questions on LCM of 7480 and 7481

1. What is the LCM of 7480 and 7481?

Answer: LCM of 7480 and 7481 is 55957880.

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 7481?

Answer: Factors of 7481 are 1, 7481. There are 2 integers that are factors of 7481. The greatest factor of 7481 is 7481.

4. How to Find the LCM of 7480 and 7481?

Answer:

Least Common Multiple of 7480 and 7481 = 55957880

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 7481

7481 = 7481

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

LCM = 55957880 = 2 x 2 x 2 x 5 x 11 x 17 x 7481

Step 4: Therefore, the least common multiple of 7480 and 7481 is 55957880.