Least Common Multiple of 8418 and 8426

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8418 and 8426 the smallest integer that is 35465034 that is divisible by both numbers.

Least Common Multiple (LCM) of 8418 and 8426 is 35465034.

LCM(8418,8426) = 35465034

LCM of 8418 and 8426

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

LCM of:
and

Least Common Multiple of 8418 and 8426

LCM of 8418 and 8426 is 35465034

Least common multiple can be found by multiplying the highest exponent prime factors of 8418 and 8426. First we will calculate the prime factors of 8418 and 8426.

Prime Factorization of 8418


2 8418
3 4209
23 1403
61 61
1

Prime factors of 8418 are 2, 3, 23,61. Prime factorization of 8418 in exponential form is:

8418 = 21×31×231×611

Prime Factorization of 8426


2 8426
11 4213
383 383
1

Prime factors of 8426 are 2, 11,383. Prime factorization of 8426 in exponential form is:

8426 = 21×111×3831

Now multiplying the highest exponent prime factors to calculate the LCM of 8418 and 8426.

LCM(8418,8426) = 21×31×111×231×611×3831
LCM(8418,8426) = 35465034

Factors of 8418

List of positive integer factors of 8418 that divides 8418 without a remainder.

1, 2, 3, 6, 23, 46, 61, 69, 122, 138, 183, 366, 1403, 2806, 4209, 8418

Factors of 8426

List of positive integer factors of 8426 that divides 8426 without a remainder.

1, 2, 11, 22, 383, 766, 4213, 8426

Least Common Multiple of 8418 and 8426 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8418 and 8426, than apply into the LCM equation.

GCF(8418,8426) = 2
LCM(8418,8426) = ( 8418 × 8426) / 2
LCM(8418,8426) = 70930068 / 2
LCM(8418,8426) = 35465034

Properties of LCM 8418 and 8426

(i) The LCM of 8426 and 8418 is associative

LCM of 8418 and 8426 = LCM of 8426 and 8418

Related Least Common Multiples of 8418

Related Least Common Multiples of 8426

Frequently Asked Questions on LCM of 8418 and 8426

1. What is the LCM of 8418 and 8426?

Answer: LCM of 8418 and 8426 is 35465034.

2. What are the Factors of 8418?

Answer: Factors of 8418 are 1, 2, 3, 6, 23, 46, 61, 69, 122, 138, 183, 366, 1403, 2806, 4209, 8418. There are 16 integers that are factors of 8418. The greatest factor of 8418 is 8418.

3. What are the Factors of 8426?

Answer: Factors of 8426 are 1, 2, 11, 22, 383, 766, 4213, 8426. There are 8 integers that are factors of 8426. The greatest factor of 8426 is 8426.

4. How to Find the LCM of 8418 and 8426?

Answer:

Least Common Multiple of 8418 and 8426 = 35465034

Step 1: Find the prime factorization of 8418

8418 = 2 x 3 x 23 x 61

Step 2: Find the prime factorization of 8426

8426 = 2 x 11 x 383

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

LCM = 35465034 = 2 x 3 x 11 x 23 x 61 x 383

Step 4: Therefore, the least common multiple of 8418 and 8426 is 35465034.