Least Common Multiple of 484 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 484 and 488 the smallest integer that is 59048 that is divisible by both numbers.

Least Common Multiple (LCM) of 484 and 488 is 59048.

LCM(484,488) = 59048

LCM of 484 and 488

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

LCM of:
and

Least Common Multiple of 484 and 488

LCM of 484 and 488 is 59048

Least common multiple can be found by multiplying the highest exponent prime factors of 484 and 488. First we will calculate the prime factors of 484 and 488.

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 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 484 and 488.

LCM(484,488) = 23×112×611
LCM(484,488) = 59048

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 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 484 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 484 and 488, than apply into the LCM equation.

GCF(484,488) = 4
LCM(484,488) = ( 484 × 488) / 4
LCM(484,488) = 236192 / 4
LCM(484,488) = 59048

Properties of LCM 484 and 488

(i) The LCM of 488 and 484 is associative

LCM of 484 and 488 = LCM of 488 and 484

Related Least Common Multiples of 484

Related Least Common Multiples of 488

Frequently Asked Questions on LCM of 484 and 488

1. What is the LCM of 484 and 488?

Answer: LCM of 484 and 488 is 59048.

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 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 484 and 488?

Answer:

Least Common Multiple of 484 and 488 = 59048

Step 1: Find the prime factorization of 484

484 = 2 x 2 x 11 x 11

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 = 59048 = 2 x 2 x 2 x 11 x 11 x 61

Step 4: Therefore, the least common multiple of 484 and 488 is 59048.