Least Common Multiple of 3436 and 3443

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3436 and 3443 the smallest integer that is 11830148 that is divisible by both numbers.

Least Common Multiple (LCM) of 3436 and 3443 is 11830148.

LCM(3436,3443) = 11830148

LCM of 3436 and 3443

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

LCM of:
and

Least Common Multiple of 3436 and 3443

LCM of 3436 and 3443 is 11830148

Least common multiple can be found by multiplying the highest exponent prime factors of 3436 and 3443. First we will calculate the prime factors of 3436 and 3443.

Prime Factorization of 3436


2 3436
2 1718
859 859
1

Prime factors of 3436 are 2,859. Prime factorization of 3436 in exponential form is:

3436 = 22×8591

Prime Factorization of 3443


11 3443
313 313
1

Prime factors of 3443 are 11,313. Prime factorization of 3443 in exponential form is:

3443 = 111×3131

Now multiplying the highest exponent prime factors to calculate the LCM of 3436 and 3443.

LCM(3436,3443) = 22×111×3131×8591
LCM(3436,3443) = 11830148

Factors of 3436

List of positive integer factors of 3436 that divides 3436 without a remainder.

1, 2, 4, 859, 1718, 3436

Factors of 3443

List of positive integer factors of 3443 that divides 3443 without a remainder.

1, 11, 313, 3443

Least Common Multiple of 3436 and 3443 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3436 and 3443, than apply into the LCM equation.

GCF(3436,3443) = 1
LCM(3436,3443) = ( 3436 × 3443) / 1
LCM(3436,3443) = 11830148 / 1
LCM(3436,3443) = 11830148

Properties of LCM 3436 and 3443

(i) The LCM of 3443 and 3436 is associative

LCM of 3436 and 3443 = LCM of 3443 and 3436

Related Least Common Multiples of 3436

Related Least Common Multiples of 3443

Frequently Asked Questions on LCM of 3436 and 3443

1. What is the LCM of 3436 and 3443?

Answer: LCM of 3436 and 3443 is 11830148.

2. What are the Factors of 3436?

Answer: Factors of 3436 are 1, 2, 4, 859, 1718, 3436. There are 6 integers that are factors of 3436. The greatest factor of 3436 is 3436.

3. What are the Factors of 3443?

Answer: Factors of 3443 are 1, 11, 313, 3443. There are 4 integers that are factors of 3443. The greatest factor of 3443 is 3443.

4. How to Find the LCM of 3436 and 3443?

Answer:

Least Common Multiple of 3436 and 3443 = 11830148

Step 1: Find the prime factorization of 3436

3436 = 2 x 2 x 859

Step 2: Find the prime factorization of 3443

3443 = 11 x 313

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

LCM = 11830148 = 2 x 2 x 11 x 313 x 859

Step 4: Therefore, the least common multiple of 3436 and 3443 is 11830148.