Least Common Multiple of 3431 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 3431 and 3438 the smallest integer that is 11795778 that is divisible by both numbers.

Least Common Multiple (LCM) of 3431 and 3438 is 11795778.

LCM(3431,3438) = 11795778

LCM of 3431 and 3438

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

LCM of:
and

Least Common Multiple of 3431 and 3438

LCM of 3431 and 3438 is 11795778

Least common multiple can be found by multiplying the highest exponent prime factors of 3431 and 3438. First we will calculate the prime factors of 3431 and 3438.

Prime Factorization of 3431


47 3431
73 73
1

Prime factors of 3431 are 47,73. Prime factorization of 3431 in exponential form is:

3431 = 471×731

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 3431 and 3438.

LCM(3431,3438) = 21×32×471×731×1911
LCM(3431,3438) = 11795778

Factors of 3431

List of positive integer factors of 3431 that divides 3431 without a remainder.

1, 47, 73, 3431

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 3431 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 3431 and 3438, than apply into the LCM equation.

GCF(3431,3438) = 1
LCM(3431,3438) = ( 3431 × 3438) / 1
LCM(3431,3438) = 11795778 / 1
LCM(3431,3438) = 11795778

Properties of LCM 3431 and 3438

(i) The LCM of 3438 and 3431 is associative

LCM of 3431 and 3438 = LCM of 3438 and 3431

Related Least Common Multiples of 3431

Related Least Common Multiples of 3438

Frequently Asked Questions on LCM of 3431 and 3438

1. What is the LCM of 3431 and 3438?

Answer: LCM of 3431 and 3438 is 11795778.

2. What are the Factors of 3431?

Answer: Factors of 3431 are 1, 47, 73, 3431. There are 4 integers that are factors of 3431. The greatest factor of 3431 is 3431.

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 3431 and 3438?

Answer:

Least Common Multiple of 3431 and 3438 = 11795778

Step 1: Find the prime factorization of 3431

3431 = 47 x 73

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 = 11795778 = 2 x 3 x 3 x 47 x 73 x 191

Step 4: Therefore, the least common multiple of 3431 and 3438 is 11795778.