Least Common Multiple of 486 and 488

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 486 and 488 the smallest integer that is 118584 that is divisible by both numbers.

Least Common Multiple (LCM) of 486 and 488 is 118584.

LCM(486,488) = 118584

LCM of 486 and 488

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

LCM of:
and

Least Common Multiple of 486 and 488

LCM of 486 and 488 is 118584

Least common multiple can be found by multiplying the highest exponent prime factors of 486 and 488. First we will calculate the prime factors of 486 and 488.

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

Prime Factorization of 488


2 488
2 244
2 122
61 61
1

Prime factors of 488 are 2,61. Prime factorization of 488 in exponential form is:

488 = 23×611

Now multiplying the highest exponent prime factors to calculate the LCM of 486 and 488.

LCM(486,488) = 23×35×611
LCM(486,488) = 118584

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

Factors of 488

List of positive integer factors of 488 that divides 488 without a remainder.

1, 2, 4, 8, 61, 122, 244, 488

Least Common Multiple of 486 and 488 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 486 and 488, than apply into the LCM equation.

GCF(486,488) = 2
LCM(486,488) = ( 486 × 488) / 2
LCM(486,488) = 237168 / 2
LCM(486,488) = 118584

Properties of LCM 486 and 488

(i) The LCM of 488 and 486 is associative

LCM of 486 and 488 = LCM of 488 and 486

Related Least Common Multiples of 486

Related Least Common Multiples of 488

Frequently Asked Questions on LCM of 486 and 488

1. What is the LCM of 486 and 488?

Answer: LCM of 486 and 488 is 118584.

2. 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.

3. What are the Factors of 488?

Answer: Factors of 488 are 1, 2, 4, 8, 61, 122, 244, 488. There are 8 integers that are factors of 488. The greatest factor of 488 is 488.

4. How to Find the LCM of 486 and 488?

Answer:

Least Common Multiple of 486 and 488 = 118584

Step 1: Find the prime factorization of 486

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

Step 2: Find the prime factorization of 488

488 = 2 x 2 x 2 x 61

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

LCM = 118584 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 61

Step 4: Therefore, the least common multiple of 486 and 488 is 118584.