Least Common Multiple of 8484 and 8489

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8484 and 8489 the smallest integer that is 72020676 that is divisible by both numbers.

Least Common Multiple (LCM) of 8484 and 8489 is 72020676.

LCM(8484,8489) = 72020676

LCM of 8484 and 8489

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

LCM of:
and

Least Common Multiple of 8484 and 8489

LCM of 8484 and 8489 is 72020676

Least common multiple can be found by multiplying the highest exponent prime factors of 8484 and 8489. First we will calculate the prime factors of 8484 and 8489.

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

Prime Factorization of 8489


13 8489
653 653
1

Prime factors of 8489 are 13,653. Prime factorization of 8489 in exponential form is:

8489 = 131×6531

Now multiplying the highest exponent prime factors to calculate the LCM of 8484 and 8489.

LCM(8484,8489) = 22×31×71×131×1011×6531
LCM(8484,8489) = 72020676

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

Factors of 8489

List of positive integer factors of 8489 that divides 8489 without a remainder.

1, 13, 653, 8489

Least Common Multiple of 8484 and 8489 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8484 and 8489, than apply into the LCM equation.

GCF(8484,8489) = 1
LCM(8484,8489) = ( 8484 × 8489) / 1
LCM(8484,8489) = 72020676 / 1
LCM(8484,8489) = 72020676

Properties of LCM 8484 and 8489

(i) The LCM of 8489 and 8484 is associative

LCM of 8484 and 8489 = LCM of 8489 and 8484

Related Least Common Multiples of 8484

Related Least Common Multiples of 8489

Frequently Asked Questions on LCM of 8484 and 8489

1. What is the LCM of 8484 and 8489?

Answer: LCM of 8484 and 8489 is 72020676.

2. 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.

3. What are the Factors of 8489?

Answer: Factors of 8489 are 1, 13, 653, 8489. There are 4 integers that are factors of 8489. The greatest factor of 8489 is 8489.

4. How to Find the LCM of 8484 and 8489?

Answer:

Least Common Multiple of 8484 and 8489 = 72020676

Step 1: Find the prime factorization of 8484

8484 = 2 x 2 x 3 x 7 x 101

Step 2: Find the prime factorization of 8489

8489 = 13 x 653

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

LCM = 72020676 = 2 x 2 x 3 x 7 x 13 x 101 x 653

Step 4: Therefore, the least common multiple of 8484 and 8489 is 72020676.