Least Common Multiple of 422 and 429

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 422 and 429 the smallest integer that is 181038 that is divisible by both numbers.

Least Common Multiple (LCM) of 422 and 429 is 181038.

LCM(422,429) = 181038

LCM of 422 and 429

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

LCM of:
and

Least Common Multiple of 422 and 429

LCM of 422 and 429 is 181038

Least common multiple can be found by multiplying the highest exponent prime factors of 422 and 429. First we will calculate the prime factors of 422 and 429.

Prime Factorization of 422


2 422
211 211
1

Prime factors of 422 are 2,211. Prime factorization of 422 in exponential form is:

422 = 21×2111

Prime Factorization of 429


3 429
11 143
13 13
1

Prime factors of 429 are 3, 11,13. Prime factorization of 429 in exponential form is:

429 = 31×111×131

Now multiplying the highest exponent prime factors to calculate the LCM of 422 and 429.

LCM(422,429) = 21×31×111×131×2111
LCM(422,429) = 181038

Factors of 422

List of positive integer factors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Factors of 429

List of positive integer factors of 429 that divides 429 without a remainder.

1, 3, 11, 13, 33, 39, 143, 429

Least Common Multiple of 422 and 429 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 422 and 429, than apply into the LCM equation.

GCF(422,429) = 1
LCM(422,429) = ( 422 × 429) / 1
LCM(422,429) = 181038 / 1
LCM(422,429) = 181038

Properties of LCM 422 and 429

(i) The LCM of 429 and 422 is associative

LCM of 422 and 429 = LCM of 429 and 422

Related Least Common Multiples of 422

Related Least Common Multiples of 429

Frequently Asked Questions on LCM of 422 and 429

1. What is the LCM of 422 and 429?

Answer: LCM of 422 and 429 is 181038.

2. What are the Factors of 422?

Answer: Factors of 422 are 1, 2, 211, 422. There are 4 integers that are factors of 422. The greatest factor of 422 is 422.

3. What are the Factors of 429?

Answer: Factors of 429 are 1, 3, 11, 13, 33, 39, 143, 429. There are 8 integers that are factors of 429. The greatest factor of 429 is 429.

4. How to Find the LCM of 422 and 429?

Answer:

Least Common Multiple of 422 and 429 = 181038

Step 1: Find the prime factorization of 422

422 = 2 x 211

Step 2: Find the prime factorization of 429

429 = 3 x 11 x 13

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

LCM = 181038 = 2 x 3 x 11 x 13 x 211

Step 4: Therefore, the least common multiple of 422 and 429 is 181038.