Least Common Multiple of 33839 and 33843

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

• Least Common Multiple of 33839 and 33843 by Prime method
• Least Common Multiple of 33839 and 33843 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 33839 and 33843. First we will calculate the prime factors of 33839 and 33843.

Prime Factorization of 33839

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

33839 = 13¹×19¹×137¹

Prime Factorization of 33843

Prime factors of 33843 are 3, 29,389. Prime factorization of 33843 in exponential form is:

33843 = 3¹×29¹×389¹

Now multiplying the highest exponent prime factors to calculate the LCM of 33839 and 33843.

LCM(33839,33843) = 3¹×13¹×19¹×29¹×137¹×389¹
LCM(33839,33843) = 1145213277

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 33843

List of positive integer factors of 33843 that divides 33843 without a remainder.

1, 3, 29, 87, 389, 1167, 11281, 33843

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33839 and 33843, than apply into the LCM equation.

GCF(33839,33843) = 1
LCM(33839,33843) = ( 33839 × 33843) / 1
LCM(33839,33843) = 1145213277 / 1
LCM(33839,33843) = 1145213277

(i) The LCM of 33843 and 33839 is associative

LCM of 33839 and 33843 = LCM of 33843 and 33839

1. What is the LCM of 33839 and 33843?

Answer: LCM of 33839 and 33843 is 1145213277.

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 33843?

Answer: Factors of 33843 are 1, 3, 29, 87, 389, 1167, 11281, 33843. There are 8 integers that are factors of 33843. The greatest factor of 33843 is 33843.

4. How to Find the LCM of 33839 and 33843?

Answer:

Least Common Multiple of 33839 and 33843 = 1145213277

Step 1: Find the prime factorization of 33839

33839 = 13 x 19 x 137

Step 2: Find the prime factorization of 33843

33843 = 3 x 29 x 389

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

LCM = 1145213277 = 3 x 13 x 19 x 29 x 137 x 389

Step 4: Therefore, the least common multiple of 33839 and 33843 is 1145213277.