Least Common Multiple of 429 and 434

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 429 and 434 the smallest integer that is 186186 that is divisible by both numbers.

Least Common Multiple (LCM) of 429 and 434 is 186186.

LCM(429,434) = 186186

LCM of 429 and 434

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

LCM of:
and

Least Common Multiple of 429 and 434

LCM of 429 and 434 is 186186

Least common multiple can be found by multiplying the highest exponent prime factors of 429 and 434. First we will calculate the prime factors of 429 and 434.

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

Prime Factorization of 434


2 434
7 217
31 31
1

Prime factors of 434 are 2, 7,31. Prime factorization of 434 in exponential form is:

434 = 21×71×311

Now multiplying the highest exponent prime factors to calculate the LCM of 429 and 434.

LCM(429,434) = 21×31×71×111×131×311
LCM(429,434) = 186186

Factors of 429

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

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

Factors of 434

List of positive integer factors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Least Common Multiple of 429 and 434 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 429 and 434, than apply into the LCM equation.

GCF(429,434) = 1
LCM(429,434) = ( 429 × 434) / 1
LCM(429,434) = 186186 / 1
LCM(429,434) = 186186

Properties of LCM 429 and 434

(i) The LCM of 434 and 429 is associative

LCM of 429 and 434 = LCM of 434 and 429

Related Least Common Multiples of 429

Related Least Common Multiples of 434

Frequently Asked Questions on LCM of 429 and 434

1. What is the LCM of 429 and 434?

Answer: LCM of 429 and 434 is 186186.

2. 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.

3. What are the Factors of 434?

Answer: Factors of 434 are 1, 2, 7, 14, 31, 62, 217, 434. There are 8 integers that are factors of 434. The greatest factor of 434 is 434.

4. How to Find the LCM of 429 and 434?

Answer:

Least Common Multiple of 429 and 434 = 186186

Step 1: Find the prime factorization of 429

429 = 3 x 11 x 13

Step 2: Find the prime factorization of 434

434 = 2 x 7 x 31

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

LCM = 186186 = 2 x 3 x 7 x 11 x 13 x 31

Step 4: Therefore, the least common multiple of 429 and 434 is 186186.