Least Common Multiple of 7480 and 7486

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 7486 the smallest integer that is 27997640 that is divisible by both numbers.

Least Common Multiple (LCM) of 7480 and 7486 is 27997640.

LCM(7480,7486) = 27997640

LCM of 7480 and 7486

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

LCM of:
and

Least Common Multiple of 7480 and 7486

LCM of 7480 and 7486 is 27997640

Least common multiple can be found by multiplying the highest exponent prime factors of 7480 and 7486. First we will calculate the prime factors of 7480 and 7486.

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 7486


2 7486
19 3743
197 197
1

Prime factors of 7486 are 2, 19,197. Prime factorization of 7486 in exponential form is:

7486 = 21×191×1971

Now multiplying the highest exponent prime factors to calculate the LCM of 7480 and 7486.

LCM(7480,7486) = 23×51×111×171×191×1971
LCM(7480,7486) = 27997640

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 7486

List of positive integer factors of 7486 that divides 7486 without a remainder.

1, 2, 19, 38, 197, 394, 3743, 7486

Least Common Multiple of 7480 and 7486 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 7486, than apply into the LCM equation.

GCF(7480,7486) = 2
LCM(7480,7486) = ( 7480 × 7486) / 2
LCM(7480,7486) = 55995280 / 2
LCM(7480,7486) = 27997640

Properties of LCM 7480 and 7486

(i) The LCM of 7486 and 7480 is associative

LCM of 7480 and 7486 = LCM of 7486 and 7480

Related Least Common Multiples of 7480

Related Least Common Multiples of 7486

Frequently Asked Questions on LCM of 7480 and 7486

1. What is the LCM of 7480 and 7486?

Answer: LCM of 7480 and 7486 is 27997640.

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 7486?

Answer: Factors of 7486 are 1, 2, 19, 38, 197, 394, 3743, 7486. There are 8 integers that are factors of 7486. The greatest factor of 7486 is 7486.

4. How to Find the LCM of 7480 and 7486?

Answer:

Least Common Multiple of 7480 and 7486 = 27997640

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 7486

7486 = 2 x 19 x 197

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

LCM = 27997640 = 2 x 2 x 2 x 5 x 11 x 17 x 19 x 197

Step 4: Therefore, the least common multiple of 7480 and 7486 is 27997640.