Least Common Multiple of 483 and 484

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 483 and 484 the smallest integer that is 233772 that is divisible by both numbers.

Least Common Multiple (LCM) of 483 and 484 is 233772.

LCM(483,484) = 233772

LCM of 483 and 484

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

LCM of:
and

Least Common Multiple of 483 and 484

LCM of 483 and 484 is 233772

Least common multiple can be found by multiplying the highest exponent prime factors of 483 and 484. First we will calculate the prime factors of 483 and 484.

Prime Factorization of 483


3 483
7 161
23 23
1

Prime factors of 483 are 3, 7,23. Prime factorization of 483 in exponential form is:

483 = 31×71×231

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

Now multiplying the highest exponent prime factors to calculate the LCM of 483 and 484.

LCM(483,484) = 22×31×71×112×231
LCM(483,484) = 233772

Factors of 483

List of positive integer factors of 483 that divides 483 without a remainder.

1, 3, 7, 21, 23, 69, 161, 483

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

Least Common Multiple of 483 and 484 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 483 and 484, than apply into the LCM equation.

GCF(483,484) = 1
LCM(483,484) = ( 483 × 484) / 1
LCM(483,484) = 233772 / 1
LCM(483,484) = 233772

Properties of LCM 483 and 484

(i) The LCM of 484 and 483 is associative

LCM of 483 and 484 = LCM of 484 and 483

Related Least Common Multiples of 483

Related Least Common Multiples of 484

Frequently Asked Questions on LCM of 483 and 484

1. What is the LCM of 483 and 484?

Answer: LCM of 483 and 484 is 233772.

2. What are the Factors of 483?

Answer: Factors of 483 are 1, 3, 7, 21, 23, 69, 161, 483. There are 8 integers that are factors of 483. The greatest factor of 483 is 483.

3. 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.

4. How to Find the LCM of 483 and 484?

Answer:

Least Common Multiple of 483 and 484 = 233772

Step 1: Find the prime factorization of 483

483 = 3 x 7 x 23

Step 2: Find the prime factorization of 484

484 = 2 x 2 x 11 x 11

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

LCM = 233772 = 2 x 2 x 3 x 7 x 11 x 11 x 23

Step 4: Therefore, the least common multiple of 483 and 484 is 233772.