Least Common Multiple of 472 and 476

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 472 and 476 the smallest integer that is 56168 that is divisible by both numbers.

Least Common Multiple (LCM) of 472 and 476 is 56168.

LCM(472,476) = 56168

LCM of 472 and 476

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

LCM of:
and

Least Common Multiple of 472 and 476

LCM of 472 and 476 is 56168

Least common multiple can be found by multiplying the highest exponent prime factors of 472 and 476. First we will calculate the prime factors of 472 and 476.

Prime Factorization of 472


2 472
2 236
2 118
59 59
1

Prime factors of 472 are 2,59. Prime factorization of 472 in exponential form is:

472 = 23×591

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

Now multiplying the highest exponent prime factors to calculate the LCM of 472 and 476.

LCM(472,476) = 23×71×171×591
LCM(472,476) = 56168

Factors of 472

List of positive integer factors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

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

Least Common Multiple of 472 and 476 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 472 and 476, than apply into the LCM equation.

GCF(472,476) = 4
LCM(472,476) = ( 472 × 476) / 4
LCM(472,476) = 224672 / 4
LCM(472,476) = 56168

Properties of LCM 472 and 476

(i) The LCM of 476 and 472 is associative

LCM of 472 and 476 = LCM of 476 and 472

Related Least Common Multiples of 472

Related Least Common Multiples of 476

Frequently Asked Questions on LCM of 472 and 476

1. What is the LCM of 472 and 476?

Answer: LCM of 472 and 476 is 56168.

2. What are the Factors of 472?

Answer: Factors of 472 are 1, 2, 4, 8, 59, 118, 236, 472. There are 8 integers that are factors of 472. The greatest factor of 472 is 472.

3. 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.

4. How to Find the LCM of 472 and 476?

Answer:

Least Common Multiple of 472 and 476 = 56168

Step 1: Find the prime factorization of 472

472 = 2 x 2 x 2 x 59

Step 2: Find the prime factorization of 476

476 = 2 x 2 x 7 x 17

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

LCM = 56168 = 2 x 2 x 2 x 7 x 17 x 59

Step 4: Therefore, the least common multiple of 472 and 476 is 56168.