Least Common Multiple of 8484 and 8490

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 8490 the smallest integer that is 12004860 that is divisible by both numbers.

Least Common Multiple (LCM) of 8484 and 8490 is 12004860.

LCM(8484,8490) = 12004860

LCM of 8484 and 8490

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

LCM of:
and

Least Common Multiple of 8484 and 8490

LCM of 8484 and 8490 is 12004860

Least common multiple can be found by multiplying the highest exponent prime factors of 8484 and 8490. First we will calculate the prime factors of 8484 and 8490.

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 8490


2 8490
3 4245
5 1415
283 283
1

Prime factors of 8490 are 2, 3, 5,283. Prime factorization of 8490 in exponential form is:

8490 = 21×31×51×2831

Now multiplying the highest exponent prime factors to calculate the LCM of 8484 and 8490.

LCM(8484,8490) = 22×31×51×71×1011×2831
LCM(8484,8490) = 12004860

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 8490

List of positive integer factors of 8490 that divides 8490 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 283, 566, 849, 1415, 1698, 2830, 4245, 8490

Least Common Multiple of 8484 and 8490 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 8490, than apply into the LCM equation.

GCF(8484,8490) = 6
LCM(8484,8490) = ( 8484 × 8490) / 6
LCM(8484,8490) = 72029160 / 6
LCM(8484,8490) = 12004860

Properties of LCM 8484 and 8490

(i) The LCM of 8490 and 8484 is associative

LCM of 8484 and 8490 = LCM of 8490 and 8484

Related Least Common Multiples of 8484

Related Least Common Multiples of 8490

Frequently Asked Questions on LCM of 8484 and 8490

1. What is the LCM of 8484 and 8490?

Answer: LCM of 8484 and 8490 is 12004860.

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 8490?

Answer: Factors of 8490 are 1, 2, 3, 5, 6, 10, 15, 30, 283, 566, 849, 1415, 1698, 2830, 4245, 8490. There are 16 integers that are factors of 8490. The greatest factor of 8490 is 8490.

4. How to Find the LCM of 8484 and 8490?

Answer:

Least Common Multiple of 8484 and 8490 = 12004860

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 8490

8490 = 2 x 3 x 5 x 283

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

LCM = 12004860 = 2 x 2 x 3 x 5 x 7 x 101 x 283

Step 4: Therefore, the least common multiple of 8484 and 8490 is 12004860.