Least Common Multiple of 3432 and 3440

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 3440 the smallest integer that is 1475760 that is divisible by both numbers.

Least Common Multiple (LCM) of 3432 and 3440 is 1475760.

LCM(3432,3440) = 1475760

LCM of 3432 and 3440

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

LCM of:
and

Least Common Multiple of 3432 and 3440

LCM of 3432 and 3440 is 1475760

Least common multiple can be found by multiplying the highest exponent prime factors of 3432 and 3440. First we will calculate the prime factors of 3432 and 3440.

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 3440


2 3440
2 1720
2 860
2 430
5 215
43 43
1

Prime factors of 3440 are 2, 5,43. Prime factorization of 3440 in exponential form is:

3440 = 24×51×431

Now multiplying the highest exponent prime factors to calculate the LCM of 3432 and 3440.

LCM(3432,3440) = 24×31×51×111×131×431
LCM(3432,3440) = 1475760

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 3440

List of positive integer factors of 3440 that divides 3440 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 43, 80, 86, 172, 215, 344, 430, 688, 860, 1720, 3440

Least Common Multiple of 3432 and 3440 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 3440, than apply into the LCM equation.

GCF(3432,3440) = 8
LCM(3432,3440) = ( 3432 × 3440) / 8
LCM(3432,3440) = 11806080 / 8
LCM(3432,3440) = 1475760

Properties of LCM 3432 and 3440

(i) The LCM of 3440 and 3432 is associative

LCM of 3432 and 3440 = LCM of 3440 and 3432

Related Least Common Multiples of 3432

Related Least Common Multiples of 3440

Frequently Asked Questions on LCM of 3432 and 3440

1. What is the LCM of 3432 and 3440?

Answer: LCM of 3432 and 3440 is 1475760.

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 3440?

Answer: Factors of 3440 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 43, 80, 86, 172, 215, 344, 430, 688, 860, 1720, 3440. There are 20 integers that are factors of 3440. The greatest factor of 3440 is 3440.

4. How to Find the LCM of 3432 and 3440?

Answer:

Least Common Multiple of 3432 and 3440 = 1475760

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 3440

3440 = 2 x 2 x 2 x 2 x 5 x 43

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

LCM = 1475760 = 2 x 2 x 2 x 2 x 3 x 5 x 11 x 13 x 43

Step 4: Therefore, the least common multiple of 3432 and 3440 is 1475760.