Least Common Multiple of 8478 and 8482

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8478 and 8482 the smallest integer that is 35955198 that is divisible by both numbers.

Least Common Multiple (LCM) of 8478 and 8482 is 35955198.

LCM(8478,8482) = 35955198

LCM of 8478 and 8482

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

LCM of:
and

Least Common Multiple of 8478 and 8482

LCM of 8478 and 8482 is 35955198

Least common multiple can be found by multiplying the highest exponent prime factors of 8478 and 8482. First we will calculate the prime factors of 8478 and 8482.

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

Prime Factorization of 8482


2 8482
4241 4241
1

Prime factors of 8482 are 2,4241. Prime factorization of 8482 in exponential form is:

8482 = 21×42411

Now multiplying the highest exponent prime factors to calculate the LCM of 8478 and 8482.

LCM(8478,8482) = 21×33×1571×42411
LCM(8478,8482) = 35955198

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

Factors of 8482

List of positive integer factors of 8482 that divides 8482 without a remainder.

1, 2, 4241, 8482

Least Common Multiple of 8478 and 8482 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8478 and 8482, than apply into the LCM equation.

GCF(8478,8482) = 2
LCM(8478,8482) = ( 8478 × 8482) / 2
LCM(8478,8482) = 71910396 / 2
LCM(8478,8482) = 35955198

Properties of LCM 8478 and 8482

(i) The LCM of 8482 and 8478 is associative

LCM of 8478 and 8482 = LCM of 8482 and 8478

Related Least Common Multiples of 8478

Related Least Common Multiples of 8482

Frequently Asked Questions on LCM of 8478 and 8482

1. What is the LCM of 8478 and 8482?

Answer: LCM of 8478 and 8482 is 35955198.

2. 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.

3. What are the Factors of 8482?

Answer: Factors of 8482 are 1, 2, 4241, 8482. There are 4 integers that are factors of 8482. The greatest factor of 8482 is 8482.

4. How to Find the LCM of 8478 and 8482?

Answer:

Least Common Multiple of 8478 and 8482 = 35955198

Step 1: Find the prime factorization of 8478

8478 = 2 x 3 x 3 x 3 x 157

Step 2: Find the prime factorization of 8482

8482 = 2 x 4241

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

LCM = 35955198 = 2 x 3 x 3 x 3 x 157 x 4241

Step 4: Therefore, the least common multiple of 8478 and 8482 is 35955198.