Least Common Multiple of 428 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 428 and 429 the smallest integer that is 183612 that is divisible by both numbers.

Least Common Multiple (LCM) of 428 and 429 is 183612.

LCM(428,429) = 183612

LCM of 428 and 429

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

LCM of:
and

Least Common Multiple of 428 and 429

LCM of 428 and 429 is 183612

Least common multiple can be found by multiplying the highest exponent prime factors of 428 and 429. First we will calculate the prime factors of 428 and 429.

Prime Factorization of 428


2 428
2 214
107 107
1

Prime factors of 428 are 2,107. Prime factorization of 428 in exponential form is:

428 = 22×1071

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 428 and 429.

LCM(428,429) = 22×31×111×131×1071
LCM(428,429) = 183612

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

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 428 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 428 and 429, than apply into the LCM equation.

GCF(428,429) = 1
LCM(428,429) = ( 428 × 429) / 1
LCM(428,429) = 183612 / 1
LCM(428,429) = 183612

Properties of LCM 428 and 429

(i) The LCM of 429 and 428 is associative

LCM of 428 and 429 = LCM of 429 and 428

Related Least Common Multiples of 428

Related Least Common Multiples of 429

Frequently Asked Questions on LCM of 428 and 429

1. What is the LCM of 428 and 429?

Answer: LCM of 428 and 429 is 183612.

2. What are the Factors of 428?

Answer: Factors of 428 are 1, 2, 4, 107, 214, 428. There are 6 integers that are factors of 428. The greatest factor of 428 is 428.

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 428 and 429?

Answer:

Least Common Multiple of 428 and 429 = 183612

Step 1: Find the prime factorization of 428

428 = 2 x 2 x 107

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 = 183612 = 2 x 2 x 3 x 11 x 13 x 107

Step 4: Therefore, the least common multiple of 428 and 429 is 183612.