Least Common Multiple of 423 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 423 and 429 the smallest integer that is 60489 that is divisible by both numbers.

Least Common Multiple (LCM) of 423 and 429 is 60489.

LCM(423,429) = 60489

LCM of 423 and 429

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

LCM of:
and

Least Common Multiple of 423 and 429

LCM of 423 and 429 is 60489

Least common multiple can be found by multiplying the highest exponent prime factors of 423 and 429. First we will calculate the prime factors of 423 and 429.

Prime Factorization of 423


3 423
3 141
47 47
1

Prime factors of 423 are 3,47. Prime factorization of 423 in exponential form is:

423 = 32×471

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 423 and 429.

LCM(423,429) = 32×111×131×471
LCM(423,429) = 60489

Factors of 423

List of positive integer factors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

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 423 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 423 and 429, than apply into the LCM equation.

GCF(423,429) = 3
LCM(423,429) = ( 423 × 429) / 3
LCM(423,429) = 181467 / 3
LCM(423,429) = 60489

Properties of LCM 423 and 429

(i) The LCM of 429 and 423 is associative

LCM of 423 and 429 = LCM of 429 and 423

Related Least Common Multiples of 423

Related Least Common Multiples of 429

Frequently Asked Questions on LCM of 423 and 429

1. What is the LCM of 423 and 429?

Answer: LCM of 423 and 429 is 60489.

2. What are the Factors of 423?

Answer: Factors of 423 are 1, 3, 9, 47, 141, 423. There are 6 integers that are factors of 423. The greatest factor of 423 is 423.

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 423 and 429?

Answer:

Least Common Multiple of 423 and 429 = 60489

Step 1: Find the prime factorization of 423

423 = 3 x 3 x 47

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 = 60489 = 3 x 3 x 11 x 13 x 47

Step 4: Therefore, the least common multiple of 423 and 429 is 60489.