Least Common Multiple of 3428 and 3432

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3428 and 3432 the smallest integer that is 2941224 that is divisible by both numbers.

Least Common Multiple (LCM) of 3428 and 3432 is 2941224.

LCM(3428,3432) = 2941224

LCM of 3428 and 3432

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

LCM of:
and

Least Common Multiple of 3428 and 3432

LCM of 3428 and 3432 is 2941224

Least common multiple can be found by multiplying the highest exponent prime factors of 3428 and 3432. First we will calculate the prime factors of 3428 and 3432.

Prime Factorization of 3428


2 3428
2 1714
857 857
1

Prime factors of 3428 are 2,857. Prime factorization of 3428 in exponential form is:

3428 = 22×8571

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3428 and 3432.

LCM(3428,3432) = 23×31×111×131×8571
LCM(3428,3432) = 2941224

Factors of 3428

List of positive integer factors of 3428 that divides 3428 without a remainder.

1, 2, 4, 857, 1714, 3428

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

Least Common Multiple of 3428 and 3432 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3428 and 3432, than apply into the LCM equation.

GCF(3428,3432) = 4
LCM(3428,3432) = ( 3428 × 3432) / 4
LCM(3428,3432) = 11764896 / 4
LCM(3428,3432) = 2941224

Properties of LCM 3428 and 3432

(i) The LCM of 3432 and 3428 is associative

LCM of 3428 and 3432 = LCM of 3432 and 3428

Related Least Common Multiples of 3428

Related Least Common Multiples of 3432

Frequently Asked Questions on LCM of 3428 and 3432

1. What is the LCM of 3428 and 3432?

Answer: LCM of 3428 and 3432 is 2941224.

2. What are the Factors of 3428?

Answer: Factors of 3428 are 1, 2, 4, 857, 1714, 3428. There are 6 integers that are factors of 3428. The greatest factor of 3428 is 3428.

3. 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.

4. How to Find the LCM of 3428 and 3432?

Answer:

Least Common Multiple of 3428 and 3432 = 2941224

Step 1: Find the prime factorization of 3428

3428 = 2 x 2 x 857

Step 2: Find the prime factorization of 3432

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

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

LCM = 2941224 = 2 x 2 x 2 x 3 x 11 x 13 x 857

Step 4: Therefore, the least common multiple of 3428 and 3432 is 2941224.