Least Common Multiple of 8422 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 8422 and 8429 the smallest integer that is 70989038 that is divisible by both numbers.

Least Common Multiple (LCM) of 8422 and 8429 is 70989038.

LCM(8422,8429) = 70989038

LCM of 8422 and 8429

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

LCM of:
and

Least Common Multiple of 8422 and 8429

LCM of 8422 and 8429 is 70989038

Least common multiple can be found by multiplying the highest exponent prime factors of 8422 and 8429. First we will calculate the prime factors of 8422 and 8429.

Prime Factorization of 8422


2 8422
4211 4211
1

Prime factors of 8422 are 2,4211. Prime factorization of 8422 in exponential form is:

8422 = 21×42111

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 8422 and 8429.

LCM(8422,8429) = 21×42111×84291
LCM(8422,8429) = 70989038

Factors of 8422

List of positive integer factors of 8422 that divides 8422 without a remainder.

1, 2, 4211, 8422

Factors of 8429

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

1, 8429

Least Common Multiple of 8422 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 8422 and 8429, than apply into the LCM equation.

GCF(8422,8429) = 1
LCM(8422,8429) = ( 8422 × 8429) / 1
LCM(8422,8429) = 70989038 / 1
LCM(8422,8429) = 70989038

Properties of LCM 8422 and 8429

(i) The LCM of 8429 and 8422 is associative

LCM of 8422 and 8429 = LCM of 8429 and 8422

Related Least Common Multiples of 8422

Related Least Common Multiples of 8429

Frequently Asked Questions on LCM of 8422 and 8429

1. What is the LCM of 8422 and 8429?

Answer: LCM of 8422 and 8429 is 70989038.

2. What are the Factors of 8422?

Answer: Factors of 8422 are 1, 2, 4211, 8422. There are 4 integers that are factors of 8422. The greatest factor of 8422 is 8422.

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 8422 and 8429?

Answer:

Least Common Multiple of 8422 and 8429 = 70989038

Step 1: Find the prime factorization of 8422

8422 = 2 x 4211

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 = 70989038 = 2 x 4211 x 8429

Step 4: Therefore, the least common multiple of 8422 and 8429 is 70989038.