Least Common Multiple of 3434 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 3434 and 3440 the smallest integer that is 5906480 that is divisible by both numbers.

Least Common Multiple (LCM) of 3434 and 3440 is 5906480.

LCM(3434,3440) = 5906480

LCM of 3434 and 3440

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

LCM of:
and

Least Common Multiple of 3434 and 3440

LCM of 3434 and 3440 is 5906480

Least common multiple can be found by multiplying the highest exponent prime factors of 3434 and 3440. First we will calculate the prime factors of 3434 and 3440.

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

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 3434 and 3440.

LCM(3434,3440) = 24×51×171×431×1011
LCM(3434,3440) = 5906480

Factors of 3434

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

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

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 3434 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 3434 and 3440, than apply into the LCM equation.

GCF(3434,3440) = 2
LCM(3434,3440) = ( 3434 × 3440) / 2
LCM(3434,3440) = 11812960 / 2
LCM(3434,3440) = 5906480

Properties of LCM 3434 and 3440

(i) The LCM of 3440 and 3434 is associative

LCM of 3434 and 3440 = LCM of 3440 and 3434

Related Least Common Multiples of 3434

Related Least Common Multiples of 3440

Frequently Asked Questions on LCM of 3434 and 3440

1. What is the LCM of 3434 and 3440?

Answer: LCM of 3434 and 3440 is 5906480.

2. 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.

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 3434 and 3440?

Answer:

Least Common Multiple of 3434 and 3440 = 5906480

Step 1: Find the prime factorization of 3434

3434 = 2 x 17 x 101

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 = 5906480 = 2 x 2 x 2 x 2 x 5 x 17 x 43 x 101

Step 4: Therefore, the least common multiple of 3434 and 3440 is 5906480.