Least Common Multiple of 3426 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 3426 and 3433 the smallest integer that is 11761458 that is divisible by both numbers.

Least Common Multiple (LCM) of 3426 and 3433 is 11761458.

LCM(3426,3433) = 11761458

LCM of 3426 and 3433

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

LCM of:
and

Least Common Multiple of 3426 and 3433

LCM of 3426 and 3433 is 11761458

Least common multiple can be found by multiplying the highest exponent prime factors of 3426 and 3433. First we will calculate the prime factors of 3426 and 3433.

Prime Factorization of 3426


2 3426
3 1713
571 571
1

Prime factors of 3426 are 2, 3,571. Prime factorization of 3426 in exponential form is:

3426 = 21×31×5711

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 3426 and 3433.

LCM(3426,3433) = 21×31×5711×34331
LCM(3426,3433) = 11761458

Factors of 3426

List of positive integer factors of 3426 that divides 3426 without a remainder.

1, 2, 3, 6, 571, 1142, 1713, 3426

Factors of 3433

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

1, 3433

Least Common Multiple of 3426 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 3426 and 3433, than apply into the LCM equation.

GCF(3426,3433) = 1
LCM(3426,3433) = ( 3426 × 3433) / 1
LCM(3426,3433) = 11761458 / 1
LCM(3426,3433) = 11761458

Properties of LCM 3426 and 3433

(i) The LCM of 3433 and 3426 is associative

LCM of 3426 and 3433 = LCM of 3433 and 3426

Related Least Common Multiples of 3426

Related Least Common Multiples of 3433

Frequently Asked Questions on LCM of 3426 and 3433

1. What is the LCM of 3426 and 3433?

Answer: LCM of 3426 and 3433 is 11761458.

2. What are the Factors of 3426?

Answer: Factors of 3426 are 1, 2, 3, 6, 571, 1142, 1713, 3426. There are 8 integers that are factors of 3426. The greatest factor of 3426 is 3426.

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 3426 and 3433?

Answer:

Least Common Multiple of 3426 and 3433 = 11761458

Step 1: Find the prime factorization of 3426

3426 = 2 x 3 x 571

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 = 11761458 = 2 x 3 x 571 x 3433

Step 4: Therefore, the least common multiple of 3426 and 3433 is 11761458.