Least Common Multiple of 3428 and 3433

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 3433 the smallest integer that is 11768324 that is divisible by both numbers.

Least Common Multiple (LCM) of 3428 and 3433 is 11768324.

LCM(3428,3433) = 11768324

LCM of 3428 and 3433

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

LCM of:
and

Least Common Multiple of 3428 and 3433

LCM of 3428 and 3433 is 11768324

Least common multiple can be found by multiplying the highest exponent prime factors of 3428 and 3433. First we will calculate the prime factors of 3428 and 3433.

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 3433


3433 3433
1

Prime factors of 3433 are 3433. Prime factorization of 3433 in exponential form is:

3433 = 34331

Now multiplying the highest exponent prime factors to calculate the LCM of 3428 and 3433.

LCM(3428,3433) = 22×8571×34331
LCM(3428,3433) = 11768324

Factors of 3428

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

1, 2, 4, 857, 1714, 3428

Factors of 3433

List of positive integer factors of 3433 that divides 3433 without a remainder.

1, 3433

Least Common Multiple of 3428 and 3433 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 3433, than apply into the LCM equation.

GCF(3428,3433) = 1
LCM(3428,3433) = ( 3428 × 3433) / 1
LCM(3428,3433) = 11768324 / 1
LCM(3428,3433) = 11768324

Properties of LCM 3428 and 3433

(i) The LCM of 3433 and 3428 is associative

LCM of 3428 and 3433 = LCM of 3433 and 3428

Related Least Common Multiples of 3428

Related Least Common Multiples of 3433

Frequently Asked Questions on LCM of 3428 and 3433

1. What is the LCM of 3428 and 3433?

Answer: LCM of 3428 and 3433 is 11768324.

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 3433?

Answer: Factors of 3433 are 1, 3433. There are 2 integers that are factors of 3433. The greatest factor of 3433 is 3433.

4. How to Find the LCM of 3428 and 3433?

Answer:

Least Common Multiple of 3428 and 3433 = 11768324

Step 1: Find the prime factorization of 3428

3428 = 2 x 2 x 857

Step 2: Find the prime factorization of 3433

3433 = 3433

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

LCM = 11768324 = 2 x 2 x 857 x 3433

Step 4: Therefore, the least common multiple of 3428 and 3433 is 11768324.