Least Common Multiple of 429 and 430

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 430 the smallest integer that is 184470 that is divisible by both numbers.

Least Common Multiple (LCM) of 429 and 430 is 184470.

LCM(429,430) = 184470

LCM of 429 and 430

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

LCM of:
and

Least Common Multiple of 429 and 430

LCM of 429 and 430 is 184470

Least common multiple can be found by multiplying the highest exponent prime factors of 429 and 430. First we will calculate the prime factors of 429 and 430.

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 430


2 430
5 215
43 43
1

Prime factors of 430 are 2, 5,43. Prime factorization of 430 in exponential form is:

430 = 21×51×431

Now multiplying the highest exponent prime factors to calculate the LCM of 429 and 430.

LCM(429,430) = 21×31×51×111×131×431
LCM(429,430) = 184470

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 430

List of positive integer factors of 430 that divides 430 without a remainder.

1, 2, 5, 10, 43, 86, 215, 430

Least Common Multiple of 429 and 430 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 430, than apply into the LCM equation.

GCF(429,430) = 1
LCM(429,430) = ( 429 × 430) / 1
LCM(429,430) = 184470 / 1
LCM(429,430) = 184470

Properties of LCM 429 and 430

(i) The LCM of 430 and 429 is associative

LCM of 429 and 430 = LCM of 430 and 429

Related Least Common Multiples of 429

Related Least Common Multiples of 430

Frequently Asked Questions on LCM of 429 and 430

1. What is the LCM of 429 and 430?

Answer: LCM of 429 and 430 is 184470.

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 430?

Answer: Factors of 430 are 1, 2, 5, 10, 43, 86, 215, 430. There are 8 integers that are factors of 430. The greatest factor of 430 is 430.

4. How to Find the LCM of 429 and 430?

Answer:

Least Common Multiple of 429 and 430 = 184470

Step 1: Find the prime factorization of 429

429 = 3 x 11 x 13

Step 2: Find the prime factorization of 430

430 = 2 x 5 x 43

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

LCM = 184470 = 2 x 3 x 5 x 11 x 13 x 43

Step 4: Therefore, the least common multiple of 429 and 430 is 184470.