Least Common Multiple of 33849 and 33854

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

• Least Common Multiple of 33849 and 33854 by Prime method
• Least Common Multiple of 33849 and 33854 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 33849 and 33854. First we will calculate the prime factors of 33849 and 33854.

Prime Factorization of 33849

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

33849 = 3²×3761¹

Prime Factorization of 33854

Prime factors of 33854 are 2,16927. Prime factorization of 33854 in exponential form is:

33854 = 2¹×16927¹

Now multiplying the highest exponent prime factors to calculate the LCM of 33849 and 33854.

LCM(33849,33854) = 2¹×3²×3761¹×16927¹
LCM(33849,33854) = 1145924046

Factors of 33849

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

1, 3, 9, 3761, 11283, 33849

Factors of 33854

List of positive integer factors of 33854 that divides 33854 without a remainder.

1, 2, 16927, 33854

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33849 and 33854, than apply into the LCM equation.

GCF(33849,33854) = 1
LCM(33849,33854) = ( 33849 × 33854) / 1
LCM(33849,33854) = 1145924046 / 1
LCM(33849,33854) = 1145924046

(i) The LCM of 33854 and 33849 is associative

LCM of 33849 and 33854 = LCM of 33854 and 33849

1. What is the LCM of 33849 and 33854?

Answer: LCM of 33849 and 33854 is 1145924046.

2. 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.

3. What are the Factors of 33854?

Answer: Factors of 33854 are 1, 2, 16927, 33854. There are 4 integers that are factors of 33854. The greatest factor of 33854 is 33854.

4. How to Find the LCM of 33849 and 33854?

Answer:

Least Common Multiple of 33849 and 33854 = 1145924046

Step 1: Find the prime factorization of 33849

33849 = 3 x 3 x 3761

Step 2: Find the prime factorization of 33854

33854 = 2 x 16927

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

LCM = 1145924046 = 2 x 3 x 3 x 3761 x 16927

Step 4: Therefore, the least common multiple of 33849 and 33854 is 1145924046.