Least Common Multiple of 8470 and 8478

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 8478 the smallest integer that is 35904330 that is divisible by both numbers.

Least Common Multiple (LCM) of 8470 and 8478 is 35904330.

LCM(8470,8478) = 35904330

LCM of 8470 and 8478

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

LCM of:
and

Least Common Multiple of 8470 and 8478

LCM of 8470 and 8478 is 35904330

Least common multiple can be found by multiplying the highest exponent prime factors of 8470 and 8478. First we will calculate the prime factors of 8470 and 8478.

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 8478


2 8478
3 4239
3 1413
3 471
157 157
1

Prime factors of 8478 are 2, 3,157. Prime factorization of 8478 in exponential form is:

8478 = 21×33×1571

Now multiplying the highest exponent prime factors to calculate the LCM of 8470 and 8478.

LCM(8470,8478) = 21×33×51×71×112×1571
LCM(8470,8478) = 35904330

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 8478

List of positive integer factors of 8478 that divides 8478 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 157, 314, 471, 942, 1413, 2826, 4239, 8478

Least Common Multiple of 8470 and 8478 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 8478, than apply into the LCM equation.

GCF(8470,8478) = 2
LCM(8470,8478) = ( 8470 × 8478) / 2
LCM(8470,8478) = 71808660 / 2
LCM(8470,8478) = 35904330

Properties of LCM 8470 and 8478

(i) The LCM of 8478 and 8470 is associative

LCM of 8470 and 8478 = LCM of 8478 and 8470

Related Least Common Multiples of 8470

Related Least Common Multiples of 8478

Frequently Asked Questions on LCM of 8470 and 8478

1. What is the LCM of 8470 and 8478?

Answer: LCM of 8470 and 8478 is 35904330.

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 8478?

Answer: Factors of 8478 are 1, 2, 3, 6, 9, 18, 27, 54, 157, 314, 471, 942, 1413, 2826, 4239, 8478. There are 16 integers that are factors of 8478. The greatest factor of 8478 is 8478.

4. How to Find the LCM of 8470 and 8478?

Answer:

Least Common Multiple of 8470 and 8478 = 35904330

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 8478

8478 = 2 x 3 x 3 x 3 x 157

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

LCM = 35904330 = 2 x 3 x 3 x 3 x 5 x 7 x 11 x 11 x 157

Step 4: Therefore, the least common multiple of 8470 and 8478 is 35904330.