Least Common Multiple of 221855 and 221860

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

• Least Common Multiple of 221855 and 221860 by Prime method
• Least Common Multiple of 221855 and 221860 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 221855 and 221860. First we will calculate the prime factors of 221855 and 221860.

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 221860

Prime factors of 221860 are 2, 5,11093. Prime factorization of 221860 in exponential form is:

221860 = 2²×5¹×11093¹

Now multiplying the highest exponent prime factors to calculate the LCM of 221855 and 221860.

LCM(221855,221860) = 2²×5¹×11093¹×44371¹
LCM(221855,221860) = 9844150060

Factors of 221855

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

1, 5, 44371, 221855

Factors of 221860

List of positive integer factors of 221860 that divides 221860 without a remainder.

1, 2, 4, 5, 10, 20, 11093, 22186, 44372, 55465, 110930, 221860

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 221855 and 221860, than apply into the LCM equation.

GCF(221855,221860) = 5
LCM(221855,221860) = ( 221855 × 221860) / 5
LCM(221855,221860) = 49220750300 / 5
LCM(221855,221860) = 9844150060

(i) The LCM of 221860 and 221855 is associative

LCM of 221855 and 221860 = LCM of 221860 and 221855

1. What is the LCM of 221855 and 221860?

Answer: LCM of 221855 and 221860 is 9844150060.

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 221860?

Answer: Factors of 221860 are 1, 2, 4, 5, 10, 20, 11093, 22186, 44372, 55465, 110930, 221860. There are 12 integers that are factors of 221860. The greatest factor of 221860 is 221860.

4. How to Find the LCM of 221855 and 221860?

Answer:

Least Common Multiple of 221855 and 221860 = 9844150060

Step 1: Find the prime factorization of 221855

221855 = 5 x 44371

Step 2: Find the prime factorization of 221860

221860 = 2 x 2 x 5 x 11093

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

LCM = 9844150060 = 2 x 2 x 5 x 11093 x 44371

Step 4: Therefore, the least common multiple of 221855 and 221860 is 9844150060.