Least Common Multiple of 33839 and 33844

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 33839 and 33844 the smallest integer that is 1145247116 that is divisible by both numbers.

Least Common Multiple (LCM) of 33839 and 33844 is 1145247116.

LCM(33839,33844) = 1145247116

LCM of 33839 and 33844

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

LCM of:
and

Least Common Multiple of 33839 and 33844

LCM of 33839 and 33844 is 1145247116

Least common multiple can be found by multiplying the highest exponent prime factors of 33839 and 33844. First we will calculate the prime factors of 33839 and 33844.

Prime Factorization of 33839


13 33839
19 2603
137 137
1

Prime factors of 33839 are 13, 19,137. Prime factorization of 33839 in exponential form is:

33839 = 131×191×1371

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

Now multiplying the highest exponent prime factors to calculate the LCM of 33839 and 33844.

LCM(33839,33844) = 22×131×191×1371×84611
LCM(33839,33844) = 1145247116

Factors of 33839

List of positive integer factors of 33839 that divides 33839 without a remainder.

1, 13, 19, 137, 247, 1781, 2603, 33839

Factors of 33844

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

1, 2, 4, 8461, 16922, 33844

Least Common Multiple of 33839 and 33844 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33839 and 33844, than apply into the LCM equation.

GCF(33839,33844) = 1
LCM(33839,33844) = ( 33839 × 33844) / 1
LCM(33839,33844) = 1145247116 / 1
LCM(33839,33844) = 1145247116

Properties of LCM 33839 and 33844

(i) The LCM of 33844 and 33839 is associative

LCM of 33839 and 33844 = LCM of 33844 and 33839

Related Least Common Multiples of 33839

Related Least Common Multiples of 33844

Frequently Asked Questions on LCM of 33839 and 33844

1. What is the LCM of 33839 and 33844?

Answer: LCM of 33839 and 33844 is 1145247116.

2. What are the Factors of 33839?

Answer: Factors of 33839 are 1, 13, 19, 137, 247, 1781, 2603, 33839. There are 8 integers that are factors of 33839. The greatest factor of 33839 is 33839.

3. 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.

4. How to Find the LCM of 33839 and 33844?

Answer:

Least Common Multiple of 33839 and 33844 = 1145247116

Step 1: Find the prime factorization of 33839

33839 = 13 x 19 x 137

Step 2: Find the prime factorization of 33844

33844 = 2 x 2 x 8461

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

LCM = 1145247116 = 2 x 2 x 13 x 19 x 137 x 8461

Step 4: Therefore, the least common multiple of 33839 and 33844 is 1145247116.