Least Common Multiple of 8470 and 8474

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8470 and 8474 the smallest integer that is 35887390 that is divisible by both numbers.

Least Common Multiple (LCM) of 8470 and 8474 is 35887390.

LCM(8470,8474) = 35887390

LCM of 8470 and 8474

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

LCM of:
and

Least Common Multiple of 8470 and 8474

LCM of 8470 and 8474 is 35887390

Least common multiple can be found by multiplying the highest exponent prime factors of 8470 and 8474. First we will calculate the prime factors of 8470 and 8474.

Prime Factorization of 8470


2 8470
5 4235
7 847
11 121
11 11
1

Prime factors of 8470 are 2, 5, 7,11. Prime factorization of 8470 in exponential form is:

8470 = 21×51×71×112

Prime Factorization of 8474


2 8474
19 4237
223 223
1

Prime factors of 8474 are 2, 19,223. Prime factorization of 8474 in exponential form is:

8474 = 21×191×2231

Now multiplying the highest exponent prime factors to calculate the LCM of 8470 and 8474.

LCM(8470,8474) = 21×51×71×112×191×2231
LCM(8470,8474) = 35887390

Factors of 8470

List of positive integer factors of 8470 that divides 8470 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 121, 154, 242, 385, 605, 770, 847, 1210, 1694, 4235, 8470

Factors of 8474

List of positive integer factors of 8474 that divides 8474 without a remainder.

1, 2, 19, 38, 223, 446, 4237, 8474

Least Common Multiple of 8470 and 8474 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8470 and 8474, than apply into the LCM equation.

GCF(8470,8474) = 2
LCM(8470,8474) = ( 8470 × 8474) / 2
LCM(8470,8474) = 71774780 / 2
LCM(8470,8474) = 35887390

Properties of LCM 8470 and 8474

(i) The LCM of 8474 and 8470 is associative

LCM of 8470 and 8474 = LCM of 8474 and 8470

Related Least Common Multiples of 8470

Related Least Common Multiples of 8474

Frequently Asked Questions on LCM of 8470 and 8474

1. What is the LCM of 8470 and 8474?

Answer: LCM of 8470 and 8474 is 35887390.

2. What are the Factors of 8470?

Answer: Factors of 8470 are 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 121, 154, 242, 385, 605, 770, 847, 1210, 1694, 4235, 8470. There are 24 integers that are factors of 8470. The greatest factor of 8470 is 8470.

3. What are the Factors of 8474?

Answer: Factors of 8474 are 1, 2, 19, 38, 223, 446, 4237, 8474. There are 8 integers that are factors of 8474. The greatest factor of 8474 is 8474.

4. How to Find the LCM of 8470 and 8474?

Answer:

Least Common Multiple of 8470 and 8474 = 35887390

Step 1: Find the prime factorization of 8470

8470 = 2 x 5 x 7 x 11 x 11

Step 2: Find the prime factorization of 8474

8474 = 2 x 19 x 223

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

LCM = 35887390 = 2 x 5 x 7 x 11 x 11 x 19 x 223

Step 4: Therefore, the least common multiple of 8470 and 8474 is 35887390.