Least Common Multiple of 8480 and 8484

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 8484 the smallest integer that is 17986080 that is divisible by both numbers.

Least Common Multiple (LCM) of 8480 and 8484 is 17986080.

LCM(8480,8484) = 17986080

LCM of 8480 and 8484

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

LCM of:
and

Least Common Multiple of 8480 and 8484

LCM of 8480 and 8484 is 17986080

Least common multiple can be found by multiplying the highest exponent prime factors of 8480 and 8484. First we will calculate the prime factors of 8480 and 8484.

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 8484


2 8484
2 4242
3 2121
7 707
101 101
1

Prime factors of 8484 are 2, 3, 7,101. Prime factorization of 8484 in exponential form is:

8484 = 22×31×71×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 8480 and 8484.

LCM(8480,8484) = 25×31×51×71×531×1011
LCM(8480,8484) = 17986080

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 8484

List of positive integer factors of 8484 that divides 8484 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 101, 202, 303, 404, 606, 707, 1212, 1414, 2121, 2828, 4242, 8484

Least Common Multiple of 8480 and 8484 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 8484, than apply into the LCM equation.

GCF(8480,8484) = 4
LCM(8480,8484) = ( 8480 × 8484) / 4
LCM(8480,8484) = 71944320 / 4
LCM(8480,8484) = 17986080

Properties of LCM 8480 and 8484

(i) The LCM of 8484 and 8480 is associative

LCM of 8480 and 8484 = LCM of 8484 and 8480

Related Least Common Multiples of 8480

Related Least Common Multiples of 8484

Frequently Asked Questions on LCM of 8480 and 8484

1. What is the LCM of 8480 and 8484?

Answer: LCM of 8480 and 8484 is 17986080.

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 8484?

Answer: Factors of 8484 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 101, 202, 303, 404, 606, 707, 1212, 1414, 2121, 2828, 4242, 8484. There are 24 integers that are factors of 8484. The greatest factor of 8484 is 8484.

4. How to Find the LCM of 8480 and 8484?

Answer:

Least Common Multiple of 8480 and 8484 = 17986080

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 8484

8484 = 2 x 2 x 3 x 7 x 101

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

LCM = 17986080 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 53 x 101

Step 4: Therefore, the least common multiple of 8480 and 8484 is 17986080.