Least Common Multiple of 429 and 432

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 432 the smallest integer that is 61776 that is divisible by both numbers.

Least Common Multiple (LCM) of 429 and 432 is 61776.

LCM(429,432) = 61776

LCM of 429 and 432

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

LCM of:
and

Least Common Multiple of 429 and 432

LCM of 429 and 432 is 61776

Least common multiple can be found by multiplying the highest exponent prime factors of 429 and 432. First we will calculate the prime factors of 429 and 432.

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 432


2 432
2 216
2 108
2 54
3 27
3 9
3 3
1

Prime factors of 432 are 2,3. Prime factorization of 432 in exponential form is:

432 = 24×33

Now multiplying the highest exponent prime factors to calculate the LCM of 429 and 432.

LCM(429,432) = 24×33×111×131
LCM(429,432) = 61776

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 432

List of positive integer factors of 432 that divides 432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Least Common Multiple of 429 and 432 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 432, than apply into the LCM equation.

GCF(429,432) = 3
LCM(429,432) = ( 429 × 432) / 3
LCM(429,432) = 185328 / 3
LCM(429,432) = 61776

Properties of LCM 429 and 432

(i) The LCM of 432 and 429 is associative

LCM of 429 and 432 = LCM of 432 and 429

Related Least Common Multiples of 429

Related Least Common Multiples of 432

Frequently Asked Questions on LCM of 429 and 432

1. What is the LCM of 429 and 432?

Answer: LCM of 429 and 432 is 61776.

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 432?

Answer: Factors of 432 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432. There are 20 integers that are factors of 432. The greatest factor of 432 is 432.

4. How to Find the LCM of 429 and 432?

Answer:

Least Common Multiple of 429 and 432 = 61776

Step 1: Find the prime factorization of 429

429 = 3 x 11 x 13

Step 2: Find the prime factorization of 432

432 = 2 x 2 x 2 x 2 x 3 x 3 x 3

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

LCM = 61776 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 11 x 13

Step 4: Therefore, the least common multiple of 429 and 432 is 61776.