Least Common Multiple of 429 and 436

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 436 the smallest integer that is 187044 that is divisible by both numbers.

Least Common Multiple (LCM) of 429 and 436 is 187044.

LCM(429,436) = 187044

LCM of 429 and 436

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

LCM of:
and

Least Common Multiple of 429 and 436

LCM of 429 and 436 is 187044

Least common multiple can be found by multiplying the highest exponent prime factors of 429 and 436. First we will calculate the prime factors of 429 and 436.

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 436


2 436
2 218
109 109
1

Prime factors of 436 are 2,109. Prime factorization of 436 in exponential form is:

436 = 22×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 429 and 436.

LCM(429,436) = 22×31×111×131×1091
LCM(429,436) = 187044

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 436

List of positive integer factors of 436 that divides 436 without a remainder.

1, 2, 4, 109, 218, 436

Least Common Multiple of 429 and 436 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 436, than apply into the LCM equation.

GCF(429,436) = 1
LCM(429,436) = ( 429 × 436) / 1
LCM(429,436) = 187044 / 1
LCM(429,436) = 187044

Properties of LCM 429 and 436

(i) The LCM of 436 and 429 is associative

LCM of 429 and 436 = LCM of 436 and 429

Related Least Common Multiples of 429

Related Least Common Multiples of 436

Frequently Asked Questions on LCM of 429 and 436

1. What is the LCM of 429 and 436?

Answer: LCM of 429 and 436 is 187044.

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 436?

Answer: Factors of 436 are 1, 2, 4, 109, 218, 436. There are 6 integers that are factors of 436. The greatest factor of 436 is 436.

4. How to Find the LCM of 429 and 436?

Answer:

Least Common Multiple of 429 and 436 = 187044

Step 1: Find the prime factorization of 429

429 = 3 x 11 x 13

Step 2: Find the prime factorization of 436

436 = 2 x 2 x 109

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

LCM = 187044 = 2 x 2 x 3 x 11 x 13 x 109

Step 4: Therefore, the least common multiple of 429 and 436 is 187044.