Least Common Multiple of 470 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 470 and 476 the smallest integer that is 111860 that is divisible by both numbers.

Least Common Multiple (LCM) of 470 and 476 is 111860.

LCM(470,476) = 111860

LCM of 470 and 476

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

LCM of:
and

Least Common Multiple of 470 and 476

LCM of 470 and 476 is 111860

Least common multiple can be found by multiplying the highest exponent prime factors of 470 and 476. First we will calculate the prime factors of 470 and 476.

Prime Factorization of 470


2 470
5 235
47 47
1

Prime factors of 470 are 2, 5,47. Prime factorization of 470 in exponential form is:

470 = 21×51×471

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 470 and 476.

LCM(470,476) = 22×51×71×171×471
LCM(470,476) = 111860

Factors of 470

List of positive integer factors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

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 470 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 470 and 476, than apply into the LCM equation.

GCF(470,476) = 2
LCM(470,476) = ( 470 × 476) / 2
LCM(470,476) = 223720 / 2
LCM(470,476) = 111860

Properties of LCM 470 and 476

(i) The LCM of 476 and 470 is associative

LCM of 470 and 476 = LCM of 476 and 470

Related Least Common Multiples of 470

Related Least Common Multiples of 476

Frequently Asked Questions on LCM of 470 and 476

1. What is the LCM of 470 and 476?

Answer: LCM of 470 and 476 is 111860.

2. What are the Factors of 470?

Answer: Factors of 470 are 1, 2, 5, 10, 47, 94, 235, 470. There are 8 integers that are factors of 470. The greatest factor of 470 is 470.

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 470 and 476?

Answer:

Least Common Multiple of 470 and 476 = 111860

Step 1: Find the prime factorization of 470

470 = 2 x 5 x 47

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 = 111860 = 2 x 2 x 5 x 7 x 17 x 47

Step 4: Therefore, the least common multiple of 470 and 476 is 111860.