Least Common Multiple of 33843 and 33850

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

• Least Common Multiple of 33843 and 33850 by Prime method
• Least Common Multiple of 33843 and 33850 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 33843 and 33850. First we will calculate the prime factors of 33843 and 33850.

Prime Factorization of 33843

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

33843 = 3¹×29¹×389¹

Prime Factorization of 33850

Prime factors of 33850 are 2, 5,677. Prime factorization of 33850 in exponential form is:

33850 = 2¹×5²×677¹

Now multiplying the highest exponent prime factors to calculate the LCM of 33843 and 33850.

LCM(33843,33850) = 2¹×3¹×5²×29¹×389¹×677¹
LCM(33843,33850) = 1145585550

Factors of 33843

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

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

Factors of 33850

List of positive integer factors of 33850 that divides 33850 without a remainder.

1, 2, 5, 10, 25, 50, 677, 1354, 3385, 6770, 16925, 33850

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33843 and 33850, than apply into the LCM equation.

GCF(33843,33850) = 1
LCM(33843,33850) = ( 33843 × 33850) / 1
LCM(33843,33850) = 1145585550 / 1
LCM(33843,33850) = 1145585550

(i) The LCM of 33850 and 33843 is associative

LCM of 33843 and 33850 = LCM of 33850 and 33843

1. What is the LCM of 33843 and 33850?

Answer: LCM of 33843 and 33850 is 1145585550.

2. 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.

3. What are the Factors of 33850?

Answer: Factors of 33850 are 1, 2, 5, 10, 25, 50, 677, 1354, 3385, 6770, 16925, 33850. There are 12 integers that are factors of 33850. The greatest factor of 33850 is 33850.

4. How to Find the LCM of 33843 and 33850?

Answer:

Least Common Multiple of 33843 and 33850 = 1145585550

Step 1: Find the prime factorization of 33843

33843 = 3 x 29 x 389

Step 2: Find the prime factorization of 33850

33850 = 2 x 5 x 5 x 677

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

LCM = 1145585550 = 2 x 3 x 5 x 5 x 29 x 389 x 677

Step 4: Therefore, the least common multiple of 33843 and 33850 is 1145585550.