Least Common Multiple of 476 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 476 and 481 the smallest integer that is 228956 that is divisible by both numbers.

Least Common Multiple (LCM) of 476 and 481 is 228956.

LCM(476,481) = 228956

LCM of 476 and 481

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

LCM of:
and

Least Common Multiple of 476 and 481

LCM of 476 and 481 is 228956

Least common multiple can be found by multiplying the highest exponent prime factors of 476 and 481. First we will calculate the prime factors of 476 and 481.

Prime Factorization of 476


2 476
2 238
7 119
17 17
1

Prime factors of 476 are 2, 7,17. Prime factorization of 476 in exponential form is:

476 = 22×71×171

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 476 and 481.

LCM(476,481) = 22×71×131×171×371
LCM(476,481) = 228956

Factors of 476

List of positive integer factors of 476 that divides 476 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Factors of 481

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

1, 13, 37, 481

Least Common Multiple of 476 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 476 and 481, than apply into the LCM equation.

GCF(476,481) = 1
LCM(476,481) = ( 476 × 481) / 1
LCM(476,481) = 228956 / 1
LCM(476,481) = 228956

Properties of LCM 476 and 481

(i) The LCM of 481 and 476 is associative

LCM of 476 and 481 = LCM of 481 and 476

Related Least Common Multiples of 476

Related Least Common Multiples of 481

Frequently Asked Questions on LCM of 476 and 481

1. What is the LCM of 476 and 481?

Answer: LCM of 476 and 481 is 228956.

2. What are the Factors of 476?

Answer: Factors of 476 are 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476. There are 12 integers that are factors of 476. The greatest factor of 476 is 476.

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 476 and 481?

Answer:

Least Common Multiple of 476 and 481 = 228956

Step 1: Find the prime factorization of 476

476 = 2 x 2 x 7 x 17

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 = 228956 = 2 x 2 x 7 x 13 x 17 x 37

Step 4: Therefore, the least common multiple of 476 and 481 is 228956.