Least Common Multiple of 8181 and 8185

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 8185 the smallest integer that is 66961485 that is divisible by both numbers.

Least Common Multiple (LCM) of 8181 and 8185 is 66961485.

LCM(8181,8185) = 66961485

LCM of 8181 and 8185

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

LCM of:
and

Least Common Multiple of 8181 and 8185

LCM of 8181 and 8185 is 66961485

Least common multiple can be found by multiplying the highest exponent prime factors of 8181 and 8185. First we will calculate the prime factors of 8181 and 8185.

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 8185


5 8185
1637 1637
1

Prime factors of 8185 are 5,1637. Prime factorization of 8185 in exponential form is:

8185 = 51×16371

Now multiplying the highest exponent prime factors to calculate the LCM of 8181 and 8185.

LCM(8181,8185) = 34×51×1011×16371
LCM(8181,8185) = 66961485

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 8185

List of positive integer factors of 8185 that divides 8185 without a remainder.

1, 5, 1637, 8185

Least Common Multiple of 8181 and 8185 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 8185, than apply into the LCM equation.

GCF(8181,8185) = 1
LCM(8181,8185) = ( 8181 × 8185) / 1
LCM(8181,8185) = 66961485 / 1
LCM(8181,8185) = 66961485

Properties of LCM 8181 and 8185

(i) The LCM of 8185 and 8181 is associative

LCM of 8181 and 8185 = LCM of 8185 and 8181

Related Least Common Multiples of 8181

Related Least Common Multiples of 8185

Frequently Asked Questions on LCM of 8181 and 8185

1. What is the LCM of 8181 and 8185?

Answer: LCM of 8181 and 8185 is 66961485.

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 8185?

Answer: Factors of 8185 are 1, 5, 1637, 8185. There are 4 integers that are factors of 8185. The greatest factor of 8185 is 8185.

4. How to Find the LCM of 8181 and 8185?

Answer:

Least Common Multiple of 8181 and 8185 = 66961485

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 8185

8185 = 5 x 1637

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

LCM = 66961485 = 3 x 3 x 3 x 3 x 5 x 101 x 1637

Step 4: Therefore, the least common multiple of 8181 and 8185 is 66961485.