Least Common Multiple of 3425 and 3433

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3425 and 3433 the smallest integer that is 11758025 that is divisible by both numbers.

Least Common Multiple (LCM) of 3425 and 3433 is 11758025.

LCM(3425,3433) = 11758025

LCM of 3425 and 3433

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

LCM of:
and

Least Common Multiple of 3425 and 3433

LCM of 3425 and 3433 is 11758025

Least common multiple can be found by multiplying the highest exponent prime factors of 3425 and 3433. First we will calculate the prime factors of 3425 and 3433.

Prime Factorization of 3425


5 3425
5 685
137 137
1

Prime factors of 3425 are 5,137. Prime factorization of 3425 in exponential form is:

3425 = 52×1371

Prime Factorization of 3433


3433 3433
1

Prime factors of 3433 are 3433. Prime factorization of 3433 in exponential form is:

3433 = 34331

Now multiplying the highest exponent prime factors to calculate the LCM of 3425 and 3433.

LCM(3425,3433) = 52×1371×34331
LCM(3425,3433) = 11758025

Factors of 3425

List of positive integer factors of 3425 that divides 3425 without a remainder.

1, 5, 25, 137, 685, 3425

Factors of 3433

List of positive integer factors of 3433 that divides 3433 without a remainder.

1, 3433

Least Common Multiple of 3425 and 3433 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3425 and 3433, than apply into the LCM equation.

GCF(3425,3433) = 1
LCM(3425,3433) = ( 3425 × 3433) / 1
LCM(3425,3433) = 11758025 / 1
LCM(3425,3433) = 11758025

Properties of LCM 3425 and 3433

(i) The LCM of 3433 and 3425 is associative

LCM of 3425 and 3433 = LCM of 3433 and 3425

Related Least Common Multiples of 3425

Related Least Common Multiples of 3433

Frequently Asked Questions on LCM of 3425 and 3433

1. What is the LCM of 3425 and 3433?

Answer: LCM of 3425 and 3433 is 11758025.

2. What are the Factors of 3425?

Answer: Factors of 3425 are 1, 5, 25, 137, 685, 3425. There are 6 integers that are factors of 3425. The greatest factor of 3425 is 3425.

3. What are the Factors of 3433?

Answer: Factors of 3433 are 1, 3433. There are 2 integers that are factors of 3433. The greatest factor of 3433 is 3433.

4. How to Find the LCM of 3425 and 3433?

Answer:

Least Common Multiple of 3425 and 3433 = 11758025

Step 1: Find the prime factorization of 3425

3425 = 5 x 5 x 137

Step 2: Find the prime factorization of 3433

3433 = 3433

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

LCM = 11758025 = 5 x 5 x 137 x 3433

Step 4: Therefore, the least common multiple of 3425 and 3433 is 11758025.