Least Common Multiple of 476 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 476 and 484 the smallest integer that is 57596 that is divisible by both numbers.

Least Common Multiple (LCM) of 476 and 484 is 57596.

LCM(476,484) = 57596

LCM of 476 and 484

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

LCM of:
and

Least Common Multiple of 476 and 484

LCM of 476 and 484 is 57596

Least common multiple can be found by multiplying the highest exponent prime factors of 476 and 484. First we will calculate the prime factors of 476 and 484.

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 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 476 and 484.

LCM(476,484) = 22×71×112×171
LCM(476,484) = 57596

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 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 476 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 476 and 484, than apply into the LCM equation.

GCF(476,484) = 4
LCM(476,484) = ( 476 × 484) / 4
LCM(476,484) = 230384 / 4
LCM(476,484) = 57596

Properties of LCM 476 and 484

(i) The LCM of 484 and 476 is associative

LCM of 476 and 484 = LCM of 484 and 476

Related Least Common Multiples of 476

Related Least Common Multiples of 484

Frequently Asked Questions on LCM of 476 and 484

1. What is the LCM of 476 and 484?

Answer: LCM of 476 and 484 is 57596.

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 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 476 and 484?

Answer:

Least Common Multiple of 476 and 484 = 57596

Step 1: Find the prime factorization of 476

476 = 2 x 2 x 7 x 17

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 = 57596 = 2 x 2 x 7 x 11 x 11 x 17

Step 4: Therefore, the least common multiple of 476 and 484 is 57596.