Least Common Multiple of 484 and 486

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 484 and 486 the smallest integer that is 117612 that is divisible by both numbers.

Least Common Multiple (LCM) of 484 and 486 is 117612.

LCM(484,486) = 117612

LCM of 484 and 486

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

LCM of:
and

Least Common Multiple of 484 and 486

LCM of 484 and 486 is 117612

Least common multiple can be found by multiplying the highest exponent prime factors of 484 and 486. First we will calculate the prime factors of 484 and 486.

Prime Factorization of 484


2 484
2 242
11 121
11 11
1

Prime factors of 484 are 2,11. Prime factorization of 484 in exponential form is:

484 = 22×112

Prime Factorization of 486


2 486
3 243
3 81
3 27
3 9
3 3
1

Prime factors of 486 are 2,3. Prime factorization of 486 in exponential form is:

486 = 21×35

Now multiplying the highest exponent prime factors to calculate the LCM of 484 and 486.

LCM(484,486) = 22×35×112
LCM(484,486) = 117612

Factors of 484

List of positive integer factors of 484 that divides 484 without a remainder.

1, 2, 4, 11, 22, 44, 121, 242, 484

Factors of 486

List of positive integer factors of 486 that divides 486 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Least Common Multiple of 484 and 486 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 484 and 486, than apply into the LCM equation.

GCF(484,486) = 2
LCM(484,486) = ( 484 × 486) / 2
LCM(484,486) = 235224 / 2
LCM(484,486) = 117612

Properties of LCM 484 and 486

(i) The LCM of 486 and 484 is associative

LCM of 484 and 486 = LCM of 486 and 484

Related Least Common Multiples of 484

Related Least Common Multiples of 486

Frequently Asked Questions on LCM of 484 and 486

1. What is the LCM of 484 and 486?

Answer: LCM of 484 and 486 is 117612.

2. What are the Factors of 484?

Answer: Factors of 484 are 1, 2, 4, 11, 22, 44, 121, 242, 484. There are 9 integers that are factors of 484. The greatest factor of 484 is 484.

3. What are the Factors of 486?

Answer: Factors of 486 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486. There are 12 integers that are factors of 486. The greatest factor of 486 is 486.

4. How to Find the LCM of 484 and 486?

Answer:

Least Common Multiple of 484 and 486 = 117612

Step 1: Find the prime factorization of 484

484 = 2 x 2 x 11 x 11

Step 2: Find the prime factorization of 486

486 = 2 x 3 x 3 x 3 x 3 x 3

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

LCM = 117612 = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 11 x 11

Step 4: Therefore, the least common multiple of 484 and 486 is 117612.