Least Common Multiple of 3431 and 3435

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 3435 the smallest integer that is 11785485 that is divisible by both numbers.

Least Common Multiple (LCM) of 3431 and 3435 is 11785485.

LCM(3431,3435) = 11785485

LCM of 3431 and 3435

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

LCM of:
and

Least Common Multiple of 3431 and 3435

LCM of 3431 and 3435 is 11785485

Least common multiple can be found by multiplying the highest exponent prime factors of 3431 and 3435. First we will calculate the prime factors of 3431 and 3435.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 3431 and 3435.

LCM(3431,3435) = 31×51×471×731×2291
LCM(3431,3435) = 11785485

Factors of 3431

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

1, 47, 73, 3431

Factors of 3435

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

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

Least Common Multiple of 3431 and 3435 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 3435, than apply into the LCM equation.

GCF(3431,3435) = 1
LCM(3431,3435) = ( 3431 × 3435) / 1
LCM(3431,3435) = 11785485 / 1
LCM(3431,3435) = 11785485

Properties of LCM 3431 and 3435

(i) The LCM of 3435 and 3431 is associative

LCM of 3431 and 3435 = LCM of 3435 and 3431

Related Least Common Multiples of 3431

Related Least Common Multiples of 3435

Frequently Asked Questions on LCM of 3431 and 3435

1. What is the LCM of 3431 and 3435?

Answer: LCM of 3431 and 3435 is 11785485.

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 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.

4. How to Find the LCM of 3431 and 3435?

Answer:

Least Common Multiple of 3431 and 3435 = 11785485

Step 1: Find the prime factorization of 3431

3431 = 47 x 73

Step 2: Find the prime factorization of 3435

3435 = 3 x 5 x 229

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

LCM = 11785485 = 3 x 5 x 47 x 73 x 229

Step 4: Therefore, the least common multiple of 3431 and 3435 is 11785485.