Least Common Multiple of 221842 and 221847

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

• Least Common Multiple of 221842 and 221847 by Prime method
• Least Common Multiple of 221842 and 221847 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 221842 and 221847. First we will calculate the prime factors of 221842 and 221847.

Prime Factorization of 221842

Prime factors of 221842 are 2,110921. Prime factorization of 221842 in exponential form is:

221842 = 2¹×110921¹

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 221842 and 221847.

LCM(221842,221847) = 2¹×3¹×73¹×1013¹×110921¹
LCM(221842,221847) = 49214982174

Factors of 221842

List of positive integer factors of 221842 that divides 221842 without a remainder.

1, 2, 110921, 221842

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 221842 and 221847, than apply into the LCM equation.

GCF(221842,221847) = 1
LCM(221842,221847) = ( 221842 × 221847) / 1
LCM(221842,221847) = 49214982174 / 1
LCM(221842,221847) = 49214982174

(i) The LCM of 221847 and 221842 is associative

LCM of 221842 and 221847 = LCM of 221847 and 221842

1. What is the LCM of 221842 and 221847?

Answer: LCM of 221842 and 221847 is 49214982174.

2. What are the Factors of 221842?

Answer: Factors of 221842 are 1, 2, 110921, 221842. There are 4 integers that are factors of 221842. The greatest factor of 221842 is 221842.

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 221842 and 221847?

Answer:

Least Common Multiple of 221842 and 221847 = 49214982174

Step 1: Find the prime factorization of 221842

221842 = 2 x 110921

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 = 49214982174 = 2 x 3 x 73 x 1013 x 110921

Step 4: Therefore, the least common multiple of 221842 and 221847 is 49214982174.