Least Common Multiple of 33844 and 33849

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 33844 and 33849 the smallest integer that is 1145585556 that is divisible by both numbers.

Least Common Multiple (LCM) of 33844 and 33849 is 1145585556.

LCM(33844,33849) = 1145585556

LCM of 33844 and 33849

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

LCM of:
and

Least Common Multiple of 33844 and 33849

LCM of 33844 and 33849 is 1145585556

Least common multiple can be found by multiplying the highest exponent prime factors of 33844 and 33849. First we will calculate the prime factors of 33844 and 33849.

Prime Factorization of 33844


2 33844
2 16922
8461 8461
1

Prime factors of 33844 are 2,8461. Prime factorization of 33844 in exponential form is:

33844 = 22×84611

Prime Factorization of 33849


3 33849
3 11283
3761 3761
1

Prime factors of 33849 are 3,3761. Prime factorization of 33849 in exponential form is:

33849 = 32×37611

Now multiplying the highest exponent prime factors to calculate the LCM of 33844 and 33849.

LCM(33844,33849) = 22×32×37611×84611
LCM(33844,33849) = 1145585556

Factors of 33844

List of positive integer factors of 33844 that divides 33844 without a remainder.

1, 2, 4, 8461, 16922, 33844

Factors of 33849

List of positive integer factors of 33849 that divides 33849 without a remainder.

1, 3, 9, 3761, 11283, 33849

Least Common Multiple of 33844 and 33849 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33844 and 33849, than apply into the LCM equation.

GCF(33844,33849) = 1
LCM(33844,33849) = ( 33844 × 33849) / 1
LCM(33844,33849) = 1145585556 / 1
LCM(33844,33849) = 1145585556

Properties of LCM 33844 and 33849

(i) The LCM of 33849 and 33844 is associative

LCM of 33844 and 33849 = LCM of 33849 and 33844

Related Least Common Multiples of 33844

Related Least Common Multiples of 33849

Frequently Asked Questions on LCM of 33844 and 33849

1. What is the LCM of 33844 and 33849?

Answer: LCM of 33844 and 33849 is 1145585556.

2. What are the Factors of 33844?

Answer: Factors of 33844 are 1, 2, 4, 8461, 16922, 33844. There are 6 integers that are factors of 33844. The greatest factor of 33844 is 33844.

3. What are the Factors of 33849?

Answer: Factors of 33849 are 1, 3, 9, 3761, 11283, 33849. There are 6 integers that are factors of 33849. The greatest factor of 33849 is 33849.

4. How to Find the LCM of 33844 and 33849?

Answer:

Least Common Multiple of 33844 and 33849 = 1145585556

Step 1: Find the prime factorization of 33844

33844 = 2 x 2 x 8461

Step 2: Find the prime factorization of 33849

33849 = 3 x 3 x 3761

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

LCM = 1145585556 = 2 x 2 x 3 x 3 x 3761 x 8461

Step 4: Therefore, the least common multiple of 33844 and 33849 is 1145585556.