Least Common Multiple of 3434 and 3442

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 3442 the smallest integer that is 5909914 that is divisible by both numbers.

Least Common Multiple (LCM) of 3434 and 3442 is 5909914.

LCM(3434,3442) = 5909914

LCM of 3434 and 3442

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

LCM of:
and

Least Common Multiple of 3434 and 3442

LCM of 3434 and 3442 is 5909914

Least common multiple can be found by multiplying the highest exponent prime factors of 3434 and 3442. First we will calculate the prime factors of 3434 and 3442.

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 3442


2 3442
1721 1721
1

Prime factors of 3442 are 2,1721. Prime factorization of 3442 in exponential form is:

3442 = 21×17211

Now multiplying the highest exponent prime factors to calculate the LCM of 3434 and 3442.

LCM(3434,3442) = 21×171×1011×17211
LCM(3434,3442) = 5909914

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 3442

List of positive integer factors of 3442 that divides 3442 without a remainder.

1, 2, 1721, 3442

Least Common Multiple of 3434 and 3442 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 3442, than apply into the LCM equation.

GCF(3434,3442) = 2
LCM(3434,3442) = ( 3434 × 3442) / 2
LCM(3434,3442) = 11819828 / 2
LCM(3434,3442) = 5909914

Properties of LCM 3434 and 3442

(i) The LCM of 3442 and 3434 is associative

LCM of 3434 and 3442 = LCM of 3442 and 3434

Related Least Common Multiples of 3434

Related Least Common Multiples of 3442

Frequently Asked Questions on LCM of 3434 and 3442

1. What is the LCM of 3434 and 3442?

Answer: LCM of 3434 and 3442 is 5909914.

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 3442?

Answer: Factors of 3442 are 1, 2, 1721, 3442. There are 4 integers that are factors of 3442. The greatest factor of 3442 is 3442.

4. How to Find the LCM of 3434 and 3442?

Answer:

Least Common Multiple of 3434 and 3442 = 5909914

Step 1: Find the prime factorization of 3434

3434 = 2 x 17 x 101

Step 2: Find the prime factorization of 3442

3442 = 2 x 1721

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

LCM = 5909914 = 2 x 17 x 101 x 1721

Step 4: Therefore, the least common multiple of 3434 and 3442 is 5909914.