Least Common Multiple of 8421 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 8421 and 8426 the smallest integer that is 70955346 that is divisible by both numbers.

Least Common Multiple (LCM) of 8421 and 8426 is 70955346.

LCM(8421,8426) = 70955346

LCM of 8421 and 8426

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

LCM of:
and

Least Common Multiple of 8421 and 8426

LCM of 8421 and 8426 is 70955346

Least common multiple can be found by multiplying the highest exponent prime factors of 8421 and 8426. First we will calculate the prime factors of 8421 and 8426.

Prime Factorization of 8421


3 8421
7 2807
401 401
1

Prime factors of 8421 are 3, 7,401. Prime factorization of 8421 in exponential form is:

8421 = 31×71×4011

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 8421 and 8426.

LCM(8421,8426) = 21×31×71×111×3831×4011
LCM(8421,8426) = 70955346

Factors of 8421

List of positive integer factors of 8421 that divides 8421 without a remainder.

1, 3, 7, 21, 401, 1203, 2807, 8421

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 8421 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 8421 and 8426, than apply into the LCM equation.

GCF(8421,8426) = 1
LCM(8421,8426) = ( 8421 × 8426) / 1
LCM(8421,8426) = 70955346 / 1
LCM(8421,8426) = 70955346

Properties of LCM 8421 and 8426

(i) The LCM of 8426 and 8421 is associative

LCM of 8421 and 8426 = LCM of 8426 and 8421

Related Least Common Multiples of 8421

Related Least Common Multiples of 8426

Frequently Asked Questions on LCM of 8421 and 8426

1. What is the LCM of 8421 and 8426?

Answer: LCM of 8421 and 8426 is 70955346.

2. What are the Factors of 8421?

Answer: Factors of 8421 are 1, 3, 7, 21, 401, 1203, 2807, 8421. There are 8 integers that are factors of 8421. The greatest factor of 8421 is 8421.

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 8421 and 8426?

Answer:

Least Common Multiple of 8421 and 8426 = 70955346

Step 1: Find the prime factorization of 8421

8421 = 3 x 7 x 401

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 = 70955346 = 2 x 3 x 7 x 11 x 383 x 401

Step 4: Therefore, the least common multiple of 8421 and 8426 is 70955346.