Least Common Multiple of 221843 and 221847

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

• Least Common Multiple of 221843 and 221847 by Prime method
• Least Common Multiple of 221843 and 221847 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 221843 and 221847. First we will calculate the prime factors of 221843 and 221847.

Prime Factorization of 221843

Prime factors of 221843 are 163,1361. Prime factorization of 221843 in exponential form is:

221843 = 163¹×1361¹

Prime Factorization of 221847

Prime factors of 221847 are 3, 73,1013. Prime factorization of 221847 in exponential form is:

221847 = 3¹×73¹×1013¹

Now multiplying the highest exponent prime factors to calculate the LCM of 221843 and 221847.

LCM(221843,221847) = 3¹×73¹×163¹×1013¹×1361¹
LCM(221843,221847) = 49215204021

Factors of 221843

List of positive integer factors of 221843 that divides 221843 without a remainder.

1, 163, 1361, 221843

Factors of 221847

List of positive integer factors of 221847 that divides 221847 without a remainder.

1, 3, 73, 219, 1013, 3039, 73949, 221847

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 221843 and 221847, than apply into the LCM equation.

GCF(221843,221847) = 1
LCM(221843,221847) = ( 221843 × 221847) / 1
LCM(221843,221847) = 49215204021 / 1
LCM(221843,221847) = 49215204021

(i) The LCM of 221847 and 221843 is associative

LCM of 221843 and 221847 = LCM of 221847 and 221843

1. What is the LCM of 221843 and 221847?

Answer: LCM of 221843 and 221847 is 49215204021.

2. What are the Factors of 221843?

Answer: Factors of 221843 are 1, 163, 1361, 221843. There are 4 integers that are factors of 221843. The greatest factor of 221843 is 221843.

3. What are the Factors of 221847?

Answer: Factors of 221847 are 1, 3, 73, 219, 1013, 3039, 73949, 221847. There are 8 integers that are factors of 221847. The greatest factor of 221847 is 221847.

4. How to Find the LCM of 221843 and 221847?

Answer:

Least Common Multiple of 221843 and 221847 = 49215204021

Step 1: Find the prime factorization of 221843

221843 = 163 x 1361

Step 2: Find the prime factorization of 221847

221847 = 3 x 73 x 1013

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

LCM = 49215204021 = 3 x 73 x 163 x 1013 x 1361

Step 4: Therefore, the least common multiple of 221843 and 221847 is 49215204021.