Least Common Multiple of 424 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 424 and 429 the smallest integer that is 181896 that is divisible by both numbers.

Least Common Multiple (LCM) of 424 and 429 is 181896.

LCM(424,429) = 181896

LCM of 424 and 429

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

LCM of:
and

Least Common Multiple of 424 and 429

LCM of 424 and 429 is 181896

Least common multiple can be found by multiplying the highest exponent prime factors of 424 and 429. First we will calculate the prime factors of 424 and 429.

Prime Factorization of 424


2 424
2 212
2 106
53 53
1

Prime factors of 424 are 2,53. Prime factorization of 424 in exponential form is:

424 = 23×531

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 424 and 429.

LCM(424,429) = 23×31×111×131×531
LCM(424,429) = 181896

Factors of 424

List of positive integer factors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

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 424 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 424 and 429, than apply into the LCM equation.

GCF(424,429) = 1
LCM(424,429) = ( 424 × 429) / 1
LCM(424,429) = 181896 / 1
LCM(424,429) = 181896

Properties of LCM 424 and 429

(i) The LCM of 429 and 424 is associative

LCM of 424 and 429 = LCM of 429 and 424

Related Least Common Multiples of 424

Related Least Common Multiples of 429

Frequently Asked Questions on LCM of 424 and 429

1. What is the LCM of 424 and 429?

Answer: LCM of 424 and 429 is 181896.

2. What are the Factors of 424?

Answer: Factors of 424 are 1, 2, 4, 8, 53, 106, 212, 424. There are 8 integers that are factors of 424. The greatest factor of 424 is 424.

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 424 and 429?

Answer:

Least Common Multiple of 424 and 429 = 181896

Step 1: Find the prime factorization of 424

424 = 2 x 2 x 2 x 53

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 = 181896 = 2 x 2 x 2 x 3 x 11 x 13 x 53

Step 4: Therefore, the least common multiple of 424 and 429 is 181896.