Least Common Multiple of 476 and 477

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 477 the smallest integer that is 227052 that is divisible by both numbers.

Least Common Multiple (LCM) of 476 and 477 is 227052.

LCM(476,477) = 227052

LCM of 476 and 477

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

LCM of:
and

Least Common Multiple of 476 and 477

LCM of 476 and 477 is 227052

Least common multiple can be found by multiplying the highest exponent prime factors of 476 and 477. First we will calculate the prime factors of 476 and 477.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 476 and 477.

LCM(476,477) = 22×32×71×171×531
LCM(476,477) = 227052

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 477

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

1, 3, 9, 53, 159, 477

Least Common Multiple of 476 and 477 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 477, than apply into the LCM equation.

GCF(476,477) = 1
LCM(476,477) = ( 476 × 477) / 1
LCM(476,477) = 227052 / 1
LCM(476,477) = 227052

Properties of LCM 476 and 477

(i) The LCM of 477 and 476 is associative

LCM of 476 and 477 = LCM of 477 and 476

Related Least Common Multiples of 476

Related Least Common Multiples of 477

Frequently Asked Questions on LCM of 476 and 477

1. What is the LCM of 476 and 477?

Answer: LCM of 476 and 477 is 227052.

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 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.

4. How to Find the LCM of 476 and 477?

Answer:

Least Common Multiple of 476 and 477 = 227052

Step 1: Find the prime factorization of 476

476 = 2 x 2 x 7 x 17

Step 2: Find the prime factorization of 477

477 = 3 x 3 x 53

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

LCM = 227052 = 2 x 2 x 3 x 3 x 7 x 17 x 53

Step 4: Therefore, the least common multiple of 476 and 477 is 227052.