Least Common Multiple of 477 and 481

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 481 the smallest integer that is 229437 that is divisible by both numbers.

Least Common Multiple (LCM) of 477 and 481 is 229437.

LCM(477,481) = 229437

LCM of 477 and 481

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

LCM of:
and

Least Common Multiple of 477 and 481

LCM of 477 and 481 is 229437

Least common multiple can be found by multiplying the highest exponent prime factors of 477 and 481. First we will calculate the prime factors of 477 and 481.

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 481


13 481
37 37
1

Prime factors of 481 are 13,37. Prime factorization of 481 in exponential form is:

481 = 131×371

Now multiplying the highest exponent prime factors to calculate the LCM of 477 and 481.

LCM(477,481) = 32×131×371×531
LCM(477,481) = 229437

Factors of 477

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

1, 3, 9, 53, 159, 477

Factors of 481

List of positive integer factors of 481 that divides 481 without a remainder.

1, 13, 37, 481

Least Common Multiple of 477 and 481 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 481, than apply into the LCM equation.

GCF(477,481) = 1
LCM(477,481) = ( 477 × 481) / 1
LCM(477,481) = 229437 / 1
LCM(477,481) = 229437

Properties of LCM 477 and 481

(i) The LCM of 481 and 477 is associative

LCM of 477 and 481 = LCM of 481 and 477

Related Least Common Multiples of 477

Related Least Common Multiples of 481

Frequently Asked Questions on LCM of 477 and 481

1. What is the LCM of 477 and 481?

Answer: LCM of 477 and 481 is 229437.

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 481?

Answer: Factors of 481 are 1, 13, 37, 481. There are 4 integers that are factors of 481. The greatest factor of 481 is 481.

4. How to Find the LCM of 477 and 481?

Answer:

Least Common Multiple of 477 and 481 = 229437

Step 1: Find the prime factorization of 477

477 = 3 x 3 x 53

Step 2: Find the prime factorization of 481

481 = 13 x 37

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

LCM = 229437 = 3 x 3 x 13 x 37 x 53

Step 4: Therefore, the least common multiple of 477 and 481 is 229437.