Least Common Multiple of 3432 and 3437

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 3437 the smallest integer that is 11795784 that is divisible by both numbers.

Least Common Multiple (LCM) of 3432 and 3437 is 11795784.

LCM(3432,3437) = 11795784

LCM of 3432 and 3437

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

LCM of:
and

Least Common Multiple of 3432 and 3437

LCM of 3432 and 3437 is 11795784

Least common multiple can be found by multiplying the highest exponent prime factors of 3432 and 3437. First we will calculate the prime factors of 3432 and 3437.

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 3437


7 3437
491 491
1

Prime factors of 3437 are 7,491. Prime factorization of 3437 in exponential form is:

3437 = 71×4911

Now multiplying the highest exponent prime factors to calculate the LCM of 3432 and 3437.

LCM(3432,3437) = 23×31×71×111×131×4911
LCM(3432,3437) = 11795784

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 3437

List of positive integer factors of 3437 that divides 3437 without a remainder.

1, 7, 491, 3437

Least Common Multiple of 3432 and 3437 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 3437, than apply into the LCM equation.

GCF(3432,3437) = 1
LCM(3432,3437) = ( 3432 × 3437) / 1
LCM(3432,3437) = 11795784 / 1
LCM(3432,3437) = 11795784

Properties of LCM 3432 and 3437

(i) The LCM of 3437 and 3432 is associative

LCM of 3432 and 3437 = LCM of 3437 and 3432

Related Least Common Multiples of 3432

Related Least Common Multiples of 3437

Frequently Asked Questions on LCM of 3432 and 3437

1. What is the LCM of 3432 and 3437?

Answer: LCM of 3432 and 3437 is 11795784.

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 3437?

Answer: Factors of 3437 are 1, 7, 491, 3437. There are 4 integers that are factors of 3437. The greatest factor of 3437 is 3437.

4. How to Find the LCM of 3432 and 3437?

Answer:

Least Common Multiple of 3432 and 3437 = 11795784

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 3437

3437 = 7 x 491

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

LCM = 11795784 = 2 x 2 x 2 x 3 x 7 x 11 x 13 x 491

Step 4: Therefore, the least common multiple of 3432 and 3437 is 11795784.