Least Common Multiple of 432 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 432 and 436 the smallest integer that is 47088 that is divisible by both numbers.

Least Common Multiple (LCM) of 432 and 436 is 47088.

LCM(432,436) = 47088

LCM of 432 and 436

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

LCM of:
and

Least Common Multiple of 432 and 436

LCM of 432 and 436 is 47088

Least common multiple can be found by multiplying the highest exponent prime factors of 432 and 436. First we will calculate the prime factors of 432 and 436.

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

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 432 and 436.

LCM(432,436) = 24×33×1091
LCM(432,436) = 47088

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

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 432 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 432 and 436, than apply into the LCM equation.

GCF(432,436) = 4
LCM(432,436) = ( 432 × 436) / 4
LCM(432,436) = 188352 / 4
LCM(432,436) = 47088

Properties of LCM 432 and 436

(i) The LCM of 436 and 432 is associative

LCM of 432 and 436 = LCM of 436 and 432

Related Least Common Multiples of 432

Related Least Common Multiples of 436

Frequently Asked Questions on LCM of 432 and 436

1. What is the LCM of 432 and 436?

Answer: LCM of 432 and 436 is 47088.

2. 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.

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 432 and 436?

Answer:

Least Common Multiple of 432 and 436 = 47088

Step 1: Find the prime factorization of 432

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

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 = 47088 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 109

Step 4: Therefore, the least common multiple of 432 and 436 is 47088.