Least Common Multiple of 221835 and 221843

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

• Least Common Multiple of 221835 and 221843 by Prime method
• Least Common Multiple of 221835 and 221843 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 221835 and 221843. First we will calculate the prime factors of 221835 and 221843.

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

Prime Factorization of 221843

Prime factors of 221843 are 163,1361. Prime factorization of 221843 in exponential form is:

221843 = 163¹×1361¹

Now multiplying the highest exponent prime factors to calculate the LCM of 221835 and 221843.

LCM(221835,221843) = 3¹×5¹×23¹×163¹×643¹×1361¹
LCM(221835,221843) = 49212541905

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

Factors of 221843

List of positive integer factors of 221843 that divides 221843 without a remainder.

1, 163, 1361, 221843

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 221835 and 221843, than apply into the LCM equation.

GCF(221835,221843) = 1
LCM(221835,221843) = ( 221835 × 221843) / 1
LCM(221835,221843) = 49212541905 / 1
LCM(221835,221843) = 49212541905

(i) The LCM of 221843 and 221835 is associative

LCM of 221835 and 221843 = LCM of 221843 and 221835

1. What is the LCM of 221835 and 221843?

Answer: LCM of 221835 and 221843 is 49212541905.

2. 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.

3. What are the Factors of 221843?

Answer: Factors of 221843 are 1, 163, 1361, 221843. There are 4 integers that are factors of 221843. The greatest factor of 221843 is 221843.

4. How to Find the LCM of 221835 and 221843?

Answer:

Least Common Multiple of 221835 and 221843 = 49212541905

Step 1: Find the prime factorization of 221835

221835 = 3 x 5 x 23 x 643

Step 2: Find the prime factorization of 221843

221843 = 163 x 1361

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

LCM = 49212541905 = 3 x 5 x 23 x 163 x 643 x 1361

Step 4: Therefore, the least common multiple of 221835 and 221843 is 49212541905.