Least Common Multiple of 8421 and 8429

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 8429 the smallest integer that is 70980609 that is divisible by both numbers.

Least Common Multiple (LCM) of 8421 and 8429 is 70980609.

LCM(8421,8429) = 70980609

LCM of 8421 and 8429

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

LCM of:
and

Least Common Multiple of 8421 and 8429

LCM of 8421 and 8429 is 70980609

Least common multiple can be found by multiplying the highest exponent prime factors of 8421 and 8429. First we will calculate the prime factors of 8421 and 8429.

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 8429


8429 8429
1

Prime factors of 8429 are 8429. Prime factorization of 8429 in exponential form is:

8429 = 84291

Now multiplying the highest exponent prime factors to calculate the LCM of 8421 and 8429.

LCM(8421,8429) = 31×71×4011×84291
LCM(8421,8429) = 70980609

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 8429

List of positive integer factors of 8429 that divides 8429 without a remainder.

1, 8429

Least Common Multiple of 8421 and 8429 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 8429, than apply into the LCM equation.

GCF(8421,8429) = 1
LCM(8421,8429) = ( 8421 × 8429) / 1
LCM(8421,8429) = 70980609 / 1
LCM(8421,8429) = 70980609

Properties of LCM 8421 and 8429

(i) The LCM of 8429 and 8421 is associative

LCM of 8421 and 8429 = LCM of 8429 and 8421

Related Least Common Multiples of 8421

Related Least Common Multiples of 8429

Frequently Asked Questions on LCM of 8421 and 8429

1. What is the LCM of 8421 and 8429?

Answer: LCM of 8421 and 8429 is 70980609.

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 8429?

Answer: Factors of 8429 are 1, 8429. There are 2 integers that are factors of 8429. The greatest factor of 8429 is 8429.

4. How to Find the LCM of 8421 and 8429?

Answer:

Least Common Multiple of 8421 and 8429 = 70980609

Step 1: Find the prime factorization of 8421

8421 = 3 x 7 x 401

Step 2: Find the prime factorization of 8429

8429 = 8429

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

LCM = 70980609 = 3 x 7 x 401 x 8429

Step 4: Therefore, the least common multiple of 8421 and 8429 is 70980609.