Least Common Multiple of 221839 and 221846

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

• Least Common Multiple of 221839 and 221846 by Prime method
• Least Common Multiple of 221839 and 221846 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 221839 and 221846. First we will calculate the prime factors of 221839 and 221846.

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 221846

Prime factors of 221846 are 2,110923. Prime factorization of 221846 in exponential form is:

221846 = 2¹×110923¹

Now multiplying the highest exponent prime factors to calculate the LCM of 221839 and 221846.

LCM(221839,221846) = 2¹×97¹×2287¹×110923¹
LCM(221839,221846) = 49214094794

Factors of 221839

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

1, 97, 2287, 221839

Factors of 221846

List of positive integer factors of 221846 that divides 221846 without a remainder.

1, 2, 110923, 221846

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 221839 and 221846, than apply into the LCM equation.

GCF(221839,221846) = 1
LCM(221839,221846) = ( 221839 × 221846) / 1
LCM(221839,221846) = 49214094794 / 1
LCM(221839,221846) = 49214094794

(i) The LCM of 221846 and 221839 is associative

LCM of 221839 and 221846 = LCM of 221846 and 221839

1. What is the LCM of 221839 and 221846?

Answer: LCM of 221839 and 221846 is 49214094794.

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 221846?

Answer: Factors of 221846 are 1, 2, 110923, 221846. There are 4 integers that are factors of 221846. The greatest factor of 221846 is 221846.

4. How to Find the LCM of 221839 and 221846?

Answer:

Least Common Multiple of 221839 and 221846 = 49214094794

Step 1: Find the prime factorization of 221839

221839 = 97 x 2287

Step 2: Find the prime factorization of 221846

221846 = 2 x 110923

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

LCM = 49214094794 = 2 x 97 x 2287 x 110923

Step 4: Therefore, the least common multiple of 221839 and 221846 is 49214094794.