Least Common Multiple of 3434 and 3438

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 3438 the smallest integer that is 5903046 that is divisible by both numbers.

Least Common Multiple (LCM) of 3434 and 3438 is 5903046.

LCM(3434,3438) = 5903046

LCM of 3434 and 3438

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

LCM of:
and

Least Common Multiple of 3434 and 3438

LCM of 3434 and 3438 is 5903046

Least common multiple can be found by multiplying the highest exponent prime factors of 3434 and 3438. First we will calculate the prime factors of 3434 and 3438.

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 3438


2 3438
3 1719
3 573
191 191
1

Prime factors of 3438 are 2, 3,191. Prime factorization of 3438 in exponential form is:

3438 = 21×32×1911

Now multiplying the highest exponent prime factors to calculate the LCM of 3434 and 3438.

LCM(3434,3438) = 21×32×171×1011×1911
LCM(3434,3438) = 5903046

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 3438

List of positive integer factors of 3438 that divides 3438 without a remainder.

1, 2, 3, 6, 9, 18, 191, 382, 573, 1146, 1719, 3438

Least Common Multiple of 3434 and 3438 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 3438, than apply into the LCM equation.

GCF(3434,3438) = 2
LCM(3434,3438) = ( 3434 × 3438) / 2
LCM(3434,3438) = 11806092 / 2
LCM(3434,3438) = 5903046

Properties of LCM 3434 and 3438

(i) The LCM of 3438 and 3434 is associative

LCM of 3434 and 3438 = LCM of 3438 and 3434

Related Least Common Multiples of 3434

Related Least Common Multiples of 3438

Frequently Asked Questions on LCM of 3434 and 3438

1. What is the LCM of 3434 and 3438?

Answer: LCM of 3434 and 3438 is 5903046.

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 3438?

Answer: Factors of 3438 are 1, 2, 3, 6, 9, 18, 191, 382, 573, 1146, 1719, 3438. There are 12 integers that are factors of 3438. The greatest factor of 3438 is 3438.

4. How to Find the LCM of 3434 and 3438?

Answer:

Least Common Multiple of 3434 and 3438 = 5903046

Step 1: Find the prime factorization of 3434

3434 = 2 x 17 x 101

Step 2: Find the prime factorization of 3438

3438 = 2 x 3 x 3 x 191

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

LCM = 5903046 = 2 x 3 x 3 x 17 x 101 x 191

Step 4: Therefore, the least common multiple of 3434 and 3438 is 5903046.