Least Common Multiple of 8181 and 8187

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8181 and 8187 the smallest integer that is 22325949 that is divisible by both numbers.

Least Common Multiple (LCM) of 8181 and 8187 is 22325949.

LCM(8181,8187) = 22325949

LCM of 8181 and 8187

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

LCM of:
and

Least Common Multiple of 8181 and 8187

LCM of 8181 and 8187 is 22325949

Least common multiple can be found by multiplying the highest exponent prime factors of 8181 and 8187. First we will calculate the prime factors of 8181 and 8187.

Prime Factorization of 8181


3 8181
3 2727
3 909
3 303
101 101
1

Prime factors of 8181 are 3,101. Prime factorization of 8181 in exponential form is:

8181 = 34×1011

Prime Factorization of 8187


3 8187
2729 2729
1

Prime factors of 8187 are 3,2729. Prime factorization of 8187 in exponential form is:

8187 = 31×27291

Now multiplying the highest exponent prime factors to calculate the LCM of 8181 and 8187.

LCM(8181,8187) = 34×1011×27291
LCM(8181,8187) = 22325949

Factors of 8181

List of positive integer factors of 8181 that divides 8181 without a remainder.

1, 3, 9, 27, 81, 101, 303, 909, 2727, 8181

Factors of 8187

List of positive integer factors of 8187 that divides 8187 without a remainder.

1, 3, 2729, 8187

Least Common Multiple of 8181 and 8187 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8181 and 8187, than apply into the LCM equation.

GCF(8181,8187) = 3
LCM(8181,8187) = ( 8181 × 8187) / 3
LCM(8181,8187) = 66977847 / 3
LCM(8181,8187) = 22325949

Properties of LCM 8181 and 8187

(i) The LCM of 8187 and 8181 is associative

LCM of 8181 and 8187 = LCM of 8187 and 8181

Related Least Common Multiples of 8181

Related Least Common Multiples of 8187

Frequently Asked Questions on LCM of 8181 and 8187

1. What is the LCM of 8181 and 8187?

Answer: LCM of 8181 and 8187 is 22325949.

2. What are the Factors of 8181?

Answer: Factors of 8181 are 1, 3, 9, 27, 81, 101, 303, 909, 2727, 8181. There are 10 integers that are factors of 8181. The greatest factor of 8181 is 8181.

3. What are the Factors of 8187?

Answer: Factors of 8187 are 1, 3, 2729, 8187. There are 4 integers that are factors of 8187. The greatest factor of 8187 is 8187.

4. How to Find the LCM of 8181 and 8187?

Answer:

Least Common Multiple of 8181 and 8187 = 22325949

Step 1: Find the prime factorization of 8181

8181 = 3 x 3 x 3 x 3 x 101

Step 2: Find the prime factorization of 8187

8187 = 3 x 2729

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

LCM = 22325949 = 3 x 3 x 3 x 3 x 101 x 2729

Step 4: Therefore, the least common multiple of 8181 and 8187 is 22325949.