Least Common Multiple of 221855 and 221861

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

• Least Common Multiple of 221855 and 221861 by Prime method
• Least Common Multiple of 221855 and 221861 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 221855 and 221861. First we will calculate the prime factors of 221855 and 221861.

Prime Factorization of 221855

Prime factors of 221855 are 5,44371. Prime factorization of 221855 in exponential form is:

221855 = 5¹×44371¹

Prime Factorization of 221861

Prime factors of 221861 are 149,1489. Prime factorization of 221861 in exponential form is:

221861 = 149¹×1489¹

Now multiplying the highest exponent prime factors to calculate the LCM of 221855 and 221861.

LCM(221855,221861) = 5¹×149¹×1489¹×44371¹
LCM(221855,221861) = 49220972155

Factors of 221855

List of positive integer factors of 221855 that divides 221855 without a remainder.

1, 5, 44371, 221855

Factors of 221861

List of positive integer factors of 221861 that divides 221861 without a remainder.

1, 149, 1489, 221861

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 221855 and 221861, than apply into the LCM equation.

GCF(221855,221861) = 1
LCM(221855,221861) = ( 221855 × 221861) / 1
LCM(221855,221861) = 49220972155 / 1
LCM(221855,221861) = 49220972155

(i) The LCM of 221861 and 221855 is associative

LCM of 221855 and 221861 = LCM of 221861 and 221855

1. What is the LCM of 221855 and 221861?

Answer: LCM of 221855 and 221861 is 49220972155.

2. What are the Factors of 221855?

Answer: Factors of 221855 are 1, 5, 44371, 221855. There are 4 integers that are factors of 221855. The greatest factor of 221855 is 221855.

3. What are the Factors of 221861?

Answer: Factors of 221861 are 1, 149, 1489, 221861. There are 4 integers that are factors of 221861. The greatest factor of 221861 is 221861.

4. How to Find the LCM of 221855 and 221861?

Answer:

Least Common Multiple of 221855 and 221861 = 49220972155

Step 1: Find the prime factorization of 221855

221855 = 5 x 44371

Step 2: Find the prime factorization of 221861

221861 = 149 x 1489

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

LCM = 49220972155 = 5 x 149 x 1489 x 44371

Step 4: Therefore, the least common multiple of 221855 and 221861 is 49220972155.