Least Common Multiple of 221834 and 221835

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

• Least Common Multiple of 221834 and 221835 by Prime method
• Least Common Multiple of 221834 and 221835 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 221834 and 221835. First we will calculate the prime factors of 221834 and 221835.

Prime Factorization of 221834

Prime factors of 221834 are 2,110917. Prime factorization of 221834 in exponential form is:

221834 = 2¹×110917¹

Prime Factorization of 221835

Prime factors of 221835 are 3, 5, 23,643. Prime factorization of 221835 in exponential form is:

221835 = 3¹×5¹×23¹×643¹

Now multiplying the highest exponent prime factors to calculate the LCM of 221834 and 221835.

LCM(221834,221835) = 2¹×3¹×5¹×23¹×643¹×110917¹
LCM(221834,221835) = 49210545390

Factors of 221834

List of positive integer factors of 221834 that divides 221834 without a remainder.

1, 2, 110917, 221834

Factors of 221835

List of positive integer factors of 221835 that divides 221835 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345, 643, 1929, 3215, 9645, 14789, 44367, 73945, 221835

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 221834 and 221835, than apply into the LCM equation.

GCF(221834,221835) = 1
LCM(221834,221835) = ( 221834 × 221835) / 1
LCM(221834,221835) = 49210545390 / 1
LCM(221834,221835) = 49210545390

(i) The LCM of 221835 and 221834 is associative

LCM of 221834 and 221835 = LCM of 221835 and 221834

1. What is the LCM of 221834 and 221835?

Answer: LCM of 221834 and 221835 is 49210545390.

2. What are the Factors of 221834?

Answer: Factors of 221834 are 1, 2, 110917, 221834. There are 4 integers that are factors of 221834. The greatest factor of 221834 is 221834.

3. What are the Factors of 221835?

Answer: Factors of 221835 are 1, 3, 5, 15, 23, 69, 115, 345, 643, 1929, 3215, 9645, 14789, 44367, 73945, 221835. There are 16 integers that are factors of 221835. The greatest factor of 221835 is 221835.

4. How to Find the LCM of 221834 and 221835?

Answer:

Least Common Multiple of 221834 and 221835 = 49210545390

Step 1: Find the prime factorization of 221834

221834 = 2 x 110917

Step 2: Find the prime factorization of 221835

221835 = 3 x 5 x 23 x 643

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

LCM = 49210545390 = 2 x 3 x 5 x 23 x 643 x 110917

Step 4: Therefore, the least common multiple of 221834 and 221835 is 49210545390.