Least Common Multiple of 3428 and 3434

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 3434 the smallest integer that is 5885876 that is divisible by both numbers.

Least Common Multiple (LCM) of 3428 and 3434 is 5885876.

LCM(3428,3434) = 5885876

LCM of 3428 and 3434

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

LCM of:
and

Least Common Multiple of 3428 and 3434

LCM of 3428 and 3434 is 5885876

Least common multiple can be found by multiplying the highest exponent prime factors of 3428 and 3434. First we will calculate the prime factors of 3428 and 3434.

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 3434


2 3434
17 1717
101 101
1

Prime factors of 3434 are 2, 17,101. Prime factorization of 3434 in exponential form is:

3434 = 21×171×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 3428 and 3434.

LCM(3428,3434) = 22×171×1011×8571
LCM(3428,3434) = 5885876

Factors of 3428

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

1, 2, 4, 857, 1714, 3428

Factors of 3434

List of positive integer factors of 3434 that divides 3434 without a remainder.

1, 2, 17, 34, 101, 202, 1717, 3434

Least Common Multiple of 3428 and 3434 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 3434, than apply into the LCM equation.

GCF(3428,3434) = 2
LCM(3428,3434) = ( 3428 × 3434) / 2
LCM(3428,3434) = 11771752 / 2
LCM(3428,3434) = 5885876

Properties of LCM 3428 and 3434

(i) The LCM of 3434 and 3428 is associative

LCM of 3428 and 3434 = LCM of 3434 and 3428

Related Least Common Multiples of 3428

Related Least Common Multiples of 3434

Frequently Asked Questions on LCM of 3428 and 3434

1. What is the LCM of 3428 and 3434?

Answer: LCM of 3428 and 3434 is 5885876.

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 3434?

Answer: Factors of 3434 are 1, 2, 17, 34, 101, 202, 1717, 3434. There are 8 integers that are factors of 3434. The greatest factor of 3434 is 3434.

4. How to Find the LCM of 3428 and 3434?

Answer:

Least Common Multiple of 3428 and 3434 = 5885876

Step 1: Find the prime factorization of 3428

3428 = 2 x 2 x 857

Step 2: Find the prime factorization of 3434

3434 = 2 x 17 x 101

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

LCM = 5885876 = 2 x 2 x 17 x 101 x 857

Step 4: Therefore, the least common multiple of 3428 and 3434 is 5885876.