Least Common Multiple of 477 and 483

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 477 and 483 the smallest integer that is 76797 that is divisible by both numbers.

Least Common Multiple (LCM) of 477 and 483 is 76797.

LCM(477,483) = 76797

LCM of 477 and 483

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

LCM of:
and

Least Common Multiple of 477 and 483

LCM of 477 and 483 is 76797

Least common multiple can be found by multiplying the highest exponent prime factors of 477 and 483. First we will calculate the prime factors of 477 and 483.

Prime Factorization of 477


3 477
3 159
53 53
1

Prime factors of 477 are 3,53. Prime factorization of 477 in exponential form is:

477 = 32×531

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

Now multiplying the highest exponent prime factors to calculate the LCM of 477 and 483.

LCM(477,483) = 32×71×231×531
LCM(477,483) = 76797

Factors of 477

List of positive integer factors of 477 that divides 477 without a remainder.

1, 3, 9, 53, 159, 477

Factors of 483

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

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

Least Common Multiple of 477 and 483 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 477 and 483, than apply into the LCM equation.

GCF(477,483) = 3
LCM(477,483) = ( 477 × 483) / 3
LCM(477,483) = 230391 / 3
LCM(477,483) = 76797

Properties of LCM 477 and 483

(i) The LCM of 483 and 477 is associative

LCM of 477 and 483 = LCM of 483 and 477

Related Least Common Multiples of 477

Related Least Common Multiples of 483

Frequently Asked Questions on LCM of 477 and 483

1. What is the LCM of 477 and 483?

Answer: LCM of 477 and 483 is 76797.

2. What are the Factors of 477?

Answer: Factors of 477 are 1, 3, 9, 53, 159, 477. There are 6 integers that are factors of 477. The greatest factor of 477 is 477.

3. 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.

4. How to Find the LCM of 477 and 483?

Answer:

Least Common Multiple of 477 and 483 = 76797

Step 1: Find the prime factorization of 477

477 = 3 x 3 x 53

Step 2: Find the prime factorization of 483

483 = 3 x 7 x 23

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

LCM = 76797 = 3 x 3 x 7 x 23 x 53

Step 4: Therefore, the least common multiple of 477 and 483 is 76797.