Least Common Multiple of 221871 and 221876

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

• Least Common Multiple of 221871 and 221876 by Prime method
• Least Common Multiple of 221871 and 221876 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 221871 and 221876. First we will calculate the prime factors of 221871 and 221876.

Prime Factorization of 221871

Prime factors of 221871 are 3, 13,5689. Prime factorization of 221871 in exponential form is:

221871 = 3¹×13¹×5689¹

Prime Factorization of 221876

Prime factors of 221876 are 2,55469. Prime factorization of 221876 in exponential form is:

221876 = 2²×55469¹

Now multiplying the highest exponent prime factors to calculate the LCM of 221871 and 221876.

LCM(221871,221876) = 2²×3¹×13¹×5689¹×55469¹
LCM(221871,221876) = 49227849996

Factors of 221871

List of positive integer factors of 221871 that divides 221871 without a remainder.

1, 3, 13, 39, 5689, 17067, 73957, 221871

Factors of 221876

List of positive integer factors of 221876 that divides 221876 without a remainder.

1, 2, 4, 55469, 110938, 221876

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 221871 and 221876, than apply into the LCM equation.

GCF(221871,221876) = 1
LCM(221871,221876) = ( 221871 × 221876) / 1
LCM(221871,221876) = 49227849996 / 1
LCM(221871,221876) = 49227849996

(i) The LCM of 221876 and 221871 is associative

LCM of 221871 and 221876 = LCM of 221876 and 221871

1. What is the LCM of 221871 and 221876?

Answer: LCM of 221871 and 221876 is 49227849996.

2. What are the Factors of 221871?

Answer: Factors of 221871 are 1, 3, 13, 39, 5689, 17067, 73957, 221871. There are 8 integers that are factors of 221871. The greatest factor of 221871 is 221871.

3. What are the Factors of 221876?

Answer: Factors of 221876 are 1, 2, 4, 55469, 110938, 221876. There are 6 integers that are factors of 221876. The greatest factor of 221876 is 221876.

4. How to Find the LCM of 221871 and 221876?

Answer:

Least Common Multiple of 221871 and 221876 = 49227849996

Step 1: Find the prime factorization of 221871

221871 = 3 x 13 x 5689

Step 2: Find the prime factorization of 221876

221876 = 2 x 2 x 55469

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

LCM = 49227849996 = 2 x 2 x 3 x 13 x 5689 x 55469

Step 4: Therefore, the least common multiple of 221871 and 221876 is 49227849996.