Least Common Multiple of 8474 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 8474 and 8478 the smallest integer that is 35921286 that is divisible by both numbers.

Least Common Multiple (LCM) of 8474 and 8478 is 35921286.

LCM(8474,8478) = 35921286

LCM of 8474 and 8478

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

LCM of:
and

Least Common Multiple of 8474 and 8478

LCM of 8474 and 8478 is 35921286

Least common multiple can be found by multiplying the highest exponent prime factors of 8474 and 8478. First we will calculate the prime factors of 8474 and 8478.

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

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 8474 and 8478.

LCM(8474,8478) = 21×33×191×1571×2231
LCM(8474,8478) = 35921286

Factors of 8474

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

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

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 8474 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 8474 and 8478, than apply into the LCM equation.

GCF(8474,8478) = 2
LCM(8474,8478) = ( 8474 × 8478) / 2
LCM(8474,8478) = 71842572 / 2
LCM(8474,8478) = 35921286

Properties of LCM 8474 and 8478

(i) The LCM of 8478 and 8474 is associative

LCM of 8474 and 8478 = LCM of 8478 and 8474

Related Least Common Multiples of 8474

Related Least Common Multiples of 8478

Frequently Asked Questions on LCM of 8474 and 8478

1. What is the LCM of 8474 and 8478?

Answer: LCM of 8474 and 8478 is 35921286.

2. 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.

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 8474 and 8478?

Answer:

Least Common Multiple of 8474 and 8478 = 35921286

Step 1: Find the prime factorization of 8474

8474 = 2 x 19 x 223

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 = 35921286 = 2 x 3 x 3 x 3 x 19 x 157 x 223

Step 4: Therefore, the least common multiple of 8474 and 8478 is 35921286.