Least Common Multiple of 8427 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 8427 and 8429 the smallest integer that is 71031183 that is divisible by both numbers.

Least Common Multiple (LCM) of 8427 and 8429 is 71031183.

LCM(8427,8429) = 71031183

LCM of 8427 and 8429

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

LCM of:
and

Least Common Multiple of 8427 and 8429

LCM of 8427 and 8429 is 71031183

Least common multiple can be found by multiplying the highest exponent prime factors of 8427 and 8429. First we will calculate the prime factors of 8427 and 8429.

Prime Factorization of 8427


3 8427
53 2809
53 53
1

Prime factors of 8427 are 3,53. Prime factorization of 8427 in exponential form is:

8427 = 31×532

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 8427 and 8429.

LCM(8427,8429) = 31×532×84291
LCM(8427,8429) = 71031183

Factors of 8427

List of positive integer factors of 8427 that divides 8427 without a remainder.

1, 3, 53, 159, 2809, 8427

Factors of 8429

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

1, 8429

Least Common Multiple of 8427 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 8427 and 8429, than apply into the LCM equation.

GCF(8427,8429) = 1
LCM(8427,8429) = ( 8427 × 8429) / 1
LCM(8427,8429) = 71031183 / 1
LCM(8427,8429) = 71031183

Properties of LCM 8427 and 8429

(i) The LCM of 8429 and 8427 is associative

LCM of 8427 and 8429 = LCM of 8429 and 8427

Related Least Common Multiples of 8427

Related Least Common Multiples of 8429

Frequently Asked Questions on LCM of 8427 and 8429

1. What is the LCM of 8427 and 8429?

Answer: LCM of 8427 and 8429 is 71031183.

2. What are the Factors of 8427?

Answer: Factors of 8427 are 1, 3, 53, 159, 2809, 8427. There are 6 integers that are factors of 8427. The greatest factor of 8427 is 8427.

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 8427 and 8429?

Answer:

Least Common Multiple of 8427 and 8429 = 71031183

Step 1: Find the prime factorization of 8427

8427 = 3 x 53 x 53

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 = 71031183 = 3 x 53 x 53 x 8429

Step 4: Therefore, the least common multiple of 8427 and 8429 is 71031183.