Least Common Multiple of 3432 and 3439

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 3439 the smallest integer that is 11802648 that is divisible by both numbers.

Least Common Multiple (LCM) of 3432 and 3439 is 11802648.

LCM(3432,3439) = 11802648

LCM of 3432 and 3439

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

LCM of:
and

Least Common Multiple of 3432 and 3439

LCM of 3432 and 3439 is 11802648

Least common multiple can be found by multiplying the highest exponent prime factors of 3432 and 3439. First we will calculate the prime factors of 3432 and 3439.

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 3439


19 3439
181 181
1

Prime factors of 3439 are 19,181. Prime factorization of 3439 in exponential form is:

3439 = 191×1811

Now multiplying the highest exponent prime factors to calculate the LCM of 3432 and 3439.

LCM(3432,3439) = 23×31×111×131×191×1811
LCM(3432,3439) = 11802648

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 3439

List of positive integer factors of 3439 that divides 3439 without a remainder.

1, 19, 181, 3439

Least Common Multiple of 3432 and 3439 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 3439, than apply into the LCM equation.

GCF(3432,3439) = 1
LCM(3432,3439) = ( 3432 × 3439) / 1
LCM(3432,3439) = 11802648 / 1
LCM(3432,3439) = 11802648

Properties of LCM 3432 and 3439

(i) The LCM of 3439 and 3432 is associative

LCM of 3432 and 3439 = LCM of 3439 and 3432

Related Least Common Multiples of 3432

Related Least Common Multiples of 3439

Frequently Asked Questions on LCM of 3432 and 3439

1. What is the LCM of 3432 and 3439?

Answer: LCM of 3432 and 3439 is 11802648.

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 3439?

Answer: Factors of 3439 are 1, 19, 181, 3439. There are 4 integers that are factors of 3439. The greatest factor of 3439 is 3439.

4. How to Find the LCM of 3432 and 3439?

Answer:

Least Common Multiple of 3432 and 3439 = 11802648

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 3439

3439 = 19 x 181

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

LCM = 11802648 = 2 x 2 x 2 x 3 x 11 x 13 x 19 x 181

Step 4: Therefore, the least common multiple of 3432 and 3439 is 11802648.