Least Common Multiple of 3435 and 3441

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3435 and 3441 the smallest integer that is 3939945 that is divisible by both numbers.

Least Common Multiple (LCM) of 3435 and 3441 is 3939945.

LCM(3435,3441) = 3939945

LCM of 3435 and 3441

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

LCM of:
and

Least Common Multiple of 3435 and 3441

LCM of 3435 and 3441 is 3939945

Least common multiple can be found by multiplying the highest exponent prime factors of 3435 and 3441. First we will calculate the prime factors of 3435 and 3441.

Prime Factorization of 3435


3 3435
5 1145
229 229
1

Prime factors of 3435 are 3, 5,229. Prime factorization of 3435 in exponential form is:

3435 = 31×51×2291

Prime Factorization of 3441


3 3441
31 1147
37 37
1

Prime factors of 3441 are 3, 31,37. Prime factorization of 3441 in exponential form is:

3441 = 31×311×371

Now multiplying the highest exponent prime factors to calculate the LCM of 3435 and 3441.

LCM(3435,3441) = 31×51×311×371×2291
LCM(3435,3441) = 3939945

Factors of 3435

List of positive integer factors of 3435 that divides 3435 without a remainder.

1, 3, 5, 15, 229, 687, 1145, 3435

Factors of 3441

List of positive integer factors of 3441 that divides 3441 without a remainder.

1, 3, 31, 37, 93, 111, 1147, 3441

Least Common Multiple of 3435 and 3441 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3435 and 3441, than apply into the LCM equation.

GCF(3435,3441) = 3
LCM(3435,3441) = ( 3435 × 3441) / 3
LCM(3435,3441) = 11819835 / 3
LCM(3435,3441) = 3939945

Properties of LCM 3435 and 3441

(i) The LCM of 3441 and 3435 is associative

LCM of 3435 and 3441 = LCM of 3441 and 3435

Related Least Common Multiples of 3435

Related Least Common Multiples of 3441

Frequently Asked Questions on LCM of 3435 and 3441

1. What is the LCM of 3435 and 3441?

Answer: LCM of 3435 and 3441 is 3939945.

2. What are the Factors of 3435?

Answer: Factors of 3435 are 1, 3, 5, 15, 229, 687, 1145, 3435. There are 8 integers that are factors of 3435. The greatest factor of 3435 is 3435.

3. What are the Factors of 3441?

Answer: Factors of 3441 are 1, 3, 31, 37, 93, 111, 1147, 3441. There are 8 integers that are factors of 3441. The greatest factor of 3441 is 3441.

4. How to Find the LCM of 3435 and 3441?

Answer:

Least Common Multiple of 3435 and 3441 = 3939945

Step 1: Find the prime factorization of 3435

3435 = 3 x 5 x 229

Step 2: Find the prime factorization of 3441

3441 = 3 x 31 x 37

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

LCM = 3939945 = 3 x 5 x 31 x 37 x 229

Step 4: Therefore, the least common multiple of 3435 and 3441 is 3939945.