Least Common Multiple of 421 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 421 and 429 the smallest integer that is 180609 that is divisible by both numbers.

Least Common Multiple (LCM) of 421 and 429 is 180609.

LCM(421,429) = 180609

LCM of 421 and 429

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

LCM of:
and

Least Common Multiple of 421 and 429

LCM of 421 and 429 is 180609

Least common multiple can be found by multiplying the highest exponent prime factors of 421 and 429. First we will calculate the prime factors of 421 and 429.

Prime Factorization of 421


421 421
1

Prime factors of 421 are 421. Prime factorization of 421 in exponential form is:

421 = 4211

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 421 and 429.

LCM(421,429) = 31×111×131×4211
LCM(421,429) = 180609

Factors of 421

List of positive integer factors of 421 that divides 421 without a remainder.

1, 421

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 421 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 421 and 429, than apply into the LCM equation.

GCF(421,429) = 1
LCM(421,429) = ( 421 × 429) / 1
LCM(421,429) = 180609 / 1
LCM(421,429) = 180609

Properties of LCM 421 and 429

(i) The LCM of 429 and 421 is associative

LCM of 421 and 429 = LCM of 429 and 421

Related Least Common Multiples of 421

Related Least Common Multiples of 429

Frequently Asked Questions on LCM of 421 and 429

1. What is the LCM of 421 and 429?

Answer: LCM of 421 and 429 is 180609.

2. What are the Factors of 421?

Answer: Factors of 421 are 1, 421. There are 2 integers that are factors of 421. The greatest factor of 421 is 421.

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 421 and 429?

Answer:

Least Common Multiple of 421 and 429 = 180609

Step 1: Find the prime factorization of 421

421 = 421

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 = 180609 = 3 x 11 x 13 x 421

Step 4: Therefore, the least common multiple of 421 and 429 is 180609.