Least Common Multiple of 33850 and 33857

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

• Least Common Multiple of 33850 and 33857 by Prime method
• Least Common Multiple of 33850 and 33857 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 33850 and 33857. First we will calculate the prime factors of 33850 and 33857.

Prime Factorization of 33850

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

33850 = 2¹×5²×677¹

Prime Factorization of 33857

Prime factors of 33857 are 33857. Prime factorization of 33857 in exponential form is:

33857 = 33857¹

Now multiplying the highest exponent prime factors to calculate the LCM of 33850 and 33857.

LCM(33850,33857) = 2¹×5²×677¹×33857¹
LCM(33850,33857) = 1146059450

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

Factors of 33857

List of positive integer factors of 33857 that divides 33857 without a remainder.

1, 33857

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33850 and 33857, than apply into the LCM equation.

GCF(33850,33857) = 1
LCM(33850,33857) = ( 33850 × 33857) / 1
LCM(33850,33857) = 1146059450 / 1
LCM(33850,33857) = 1146059450

(i) The LCM of 33857 and 33850 is associative

LCM of 33850 and 33857 = LCM of 33857 and 33850

1. What is the LCM of 33850 and 33857?

Answer: LCM of 33850 and 33857 is 1146059450.

2. 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.

3. What are the Factors of 33857?

Answer: Factors of 33857 are 1, 33857. There are 2 integers that are factors of 33857. The greatest factor of 33857 is 33857.

4. How to Find the LCM of 33850 and 33857?

Answer:

Least Common Multiple of 33850 and 33857 = 1146059450

Step 1: Find the prime factorization of 33850

33850 = 2 x 5 x 5 x 677

Step 2: Find the prime factorization of 33857

33857 = 33857

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

LCM = 1146059450 = 2 x 5 x 5 x 677 x 33857

Step 4: Therefore, the least common multiple of 33850 and 33857 is 1146059450.