Least Common Multiple of 8480 and 8486

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8480 and 8486 the smallest integer that is 35980640 that is divisible by both numbers.

Least Common Multiple (LCM) of 8480 and 8486 is 35980640.

LCM(8480,8486) = 35980640

LCM of 8480 and 8486

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

LCM of:
and

Least Common Multiple of 8480 and 8486

LCM of 8480 and 8486 is 35980640

Least common multiple can be found by multiplying the highest exponent prime factors of 8480 and 8486. First we will calculate the prime factors of 8480 and 8486.

Prime Factorization of 8480


2 8480
2 4240
2 2120
2 1060
2 530
5 265
53 53
1

Prime factors of 8480 are 2, 5,53. Prime factorization of 8480 in exponential form is:

8480 = 25×51×531

Prime Factorization of 8486


2 8486
4243 4243
1

Prime factors of 8486 are 2,4243. Prime factorization of 8486 in exponential form is:

8486 = 21×42431

Now multiplying the highest exponent prime factors to calculate the LCM of 8480 and 8486.

LCM(8480,8486) = 25×51×531×42431
LCM(8480,8486) = 35980640

Factors of 8480

List of positive integer factors of 8480 that divides 8480 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 53, 80, 106, 160, 212, 265, 424, 530, 848, 1060, 1696, 2120, 4240, 8480

Factors of 8486

List of positive integer factors of 8486 that divides 8486 without a remainder.

1, 2, 4243, 8486

Least Common Multiple of 8480 and 8486 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8480 and 8486, than apply into the LCM equation.

GCF(8480,8486) = 2
LCM(8480,8486) = ( 8480 × 8486) / 2
LCM(8480,8486) = 71961280 / 2
LCM(8480,8486) = 35980640

Properties of LCM 8480 and 8486

(i) The LCM of 8486 and 8480 is associative

LCM of 8480 and 8486 = LCM of 8486 and 8480

Related Least Common Multiples of 8480

Related Least Common Multiples of 8486

Frequently Asked Questions on LCM of 8480 and 8486

1. What is the LCM of 8480 and 8486?

Answer: LCM of 8480 and 8486 is 35980640.

2. What are the Factors of 8480?

Answer: Factors of 8480 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 53, 80, 106, 160, 212, 265, 424, 530, 848, 1060, 1696, 2120, 4240, 8480. There are 24 integers that are factors of 8480. The greatest factor of 8480 is 8480.

3. What are the Factors of 8486?

Answer: Factors of 8486 are 1, 2, 4243, 8486. There are 4 integers that are factors of 8486. The greatest factor of 8486 is 8486.

4. How to Find the LCM of 8480 and 8486?

Answer:

Least Common Multiple of 8480 and 8486 = 35980640

Step 1: Find the prime factorization of 8480

8480 = 2 x 2 x 2 x 2 x 2 x 5 x 53

Step 2: Find the prime factorization of 8486

8486 = 2 x 4243

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

LCM = 35980640 = 2 x 2 x 2 x 2 x 2 x 5 x 53 x 4243

Step 4: Therefore, the least common multiple of 8480 and 8486 is 35980640.