Least Common Multiple of 3432 and 3436

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3432 and 3436 the smallest integer that is 2948088 that is divisible by both numbers.

Least Common Multiple (LCM) of 3432 and 3436 is 2948088.

LCM(3432,3436) = 2948088

LCM of 3432 and 3436

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

LCM of:
and

Least Common Multiple of 3432 and 3436

LCM of 3432 and 3436 is 2948088

Least common multiple can be found by multiplying the highest exponent prime factors of 3432 and 3436. First we will calculate the prime factors of 3432 and 3436.

Prime Factorization of 3432


2 3432
2 1716
2 858
3 429
11 143
13 13
1

Prime factors of 3432 are 2, 3, 11,13. Prime factorization of 3432 in exponential form is:

3432 = 23×31×111×131

Prime Factorization of 3436


2 3436
2 1718
859 859
1

Prime factors of 3436 are 2,859. Prime factorization of 3436 in exponential form is:

3436 = 22×8591

Now multiplying the highest exponent prime factors to calculate the LCM of 3432 and 3436.

LCM(3432,3436) = 23×31×111×131×8591
LCM(3432,3436) = 2948088

Factors of 3432

List of positive integer factors of 3432 that divides 3432 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 13, 22, 24, 26, 33, 39, 44, 52, 66, 78, 88, 104, 132, 143, 156, 264, 286, 312, 429, 572, 858, 1144, 1716, 3432

Factors of 3436

List of positive integer factors of 3436 that divides 3436 without a remainder.

1, 2, 4, 859, 1718, 3436

Least Common Multiple of 3432 and 3436 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3432 and 3436, than apply into the LCM equation.

GCF(3432,3436) = 4
LCM(3432,3436) = ( 3432 × 3436) / 4
LCM(3432,3436) = 11792352 / 4
LCM(3432,3436) = 2948088

Properties of LCM 3432 and 3436

(i) The LCM of 3436 and 3432 is associative

LCM of 3432 and 3436 = LCM of 3436 and 3432

Related Least Common Multiples of 3432

Related Least Common Multiples of 3436

Frequently Asked Questions on LCM of 3432 and 3436

1. What is the LCM of 3432 and 3436?

Answer: LCM of 3432 and 3436 is 2948088.

2. What are the Factors of 3432?

Answer: Factors of 3432 are 1, 2, 3, 4, 6, 8, 11, 12, 13, 22, 24, 26, 33, 39, 44, 52, 66, 78, 88, 104, 132, 143, 156, 264, 286, 312, 429, 572, 858, 1144, 1716, 3432. There are 32 integers that are factors of 3432. The greatest factor of 3432 is 3432.

3. What are the Factors of 3436?

Answer: Factors of 3436 are 1, 2, 4, 859, 1718, 3436. There are 6 integers that are factors of 3436. The greatest factor of 3436 is 3436.

4. How to Find the LCM of 3432 and 3436?

Answer:

Least Common Multiple of 3432 and 3436 = 2948088

Step 1: Find the prime factorization of 3432

3432 = 2 x 2 x 2 x 3 x 11 x 13

Step 2: Find the prime factorization of 3436

3436 = 2 x 2 x 859

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

LCM = 2948088 = 2 x 2 x 2 x 3 x 11 x 13 x 859

Step 4: Therefore, the least common multiple of 3432 and 3436 is 2948088.