Least Common Multiple of 221839 and 221842

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

• Least Common Multiple of 221839 and 221842 by Prime method
• Least Common Multiple of 221839 and 221842 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 221839 and 221842. First we will calculate the prime factors of 221839 and 221842.

Prime Factorization of 221839

Prime factors of 221839 are 97,2287. Prime factorization of 221839 in exponential form is:

221839 = 97¹×2287¹

Prime Factorization of 221842

Prime factors of 221842 are 2,110921. Prime factorization of 221842 in exponential form is:

221842 = 2¹×110921¹

Now multiplying the highest exponent prime factors to calculate the LCM of 221839 and 221842.

LCM(221839,221842) = 2¹×97¹×2287¹×110921¹
LCM(221839,221842) = 49213207438

Factors of 221839

List of positive integer factors of 221839 that divides 221839 without a remainder.

1, 97, 2287, 221839

Factors of 221842

List of positive integer factors of 221842 that divides 221842 without a remainder.

1, 2, 110921, 221842

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 221839 and 221842, than apply into the LCM equation.

GCF(221839,221842) = 1
LCM(221839,221842) = ( 221839 × 221842) / 1
LCM(221839,221842) = 49213207438 / 1
LCM(221839,221842) = 49213207438

(i) The LCM of 221842 and 221839 is associative

LCM of 221839 and 221842 = LCM of 221842 and 221839

1. What is the LCM of 221839 and 221842?

Answer: LCM of 221839 and 221842 is 49213207438.

2. What are the Factors of 221839?

Answer: Factors of 221839 are 1, 97, 2287, 221839. There are 4 integers that are factors of 221839. The greatest factor of 221839 is 221839.

3. What are the Factors of 221842?

Answer: Factors of 221842 are 1, 2, 110921, 221842. There are 4 integers that are factors of 221842. The greatest factor of 221842 is 221842.

4. How to Find the LCM of 221839 and 221842?

Answer:

Least Common Multiple of 221839 and 221842 = 49213207438

Step 1: Find the prime factorization of 221839

221839 = 97 x 2287

Step 2: Find the prime factorization of 221842

221842 = 2 x 110921

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

LCM = 49213207438 = 2 x 97 x 2287 x 110921

Step 4: Therefore, the least common multiple of 221839 and 221842 is 49213207438.