Least Common Multiple of 8180 and 8186

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8180 and 8186 the smallest integer that is 33480740 that is divisible by both numbers.

Least Common Multiple (LCM) of 8180 and 8186 is 33480740.

LCM(8180,8186) = 33480740

LCM of 8180 and 8186

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

LCM of:
and

Least Common Multiple of 8180 and 8186

LCM of 8180 and 8186 is 33480740

Least common multiple can be found by multiplying the highest exponent prime factors of 8180 and 8186. First we will calculate the prime factors of 8180 and 8186.

Prime Factorization of 8180


2 8180
2 4090
5 2045
409 409
1

Prime factors of 8180 are 2, 5,409. Prime factorization of 8180 in exponential form is:

8180 = 22×51×4091

Prime Factorization of 8186


2 8186
4093 4093
1

Prime factors of 8186 are 2,4093. Prime factorization of 8186 in exponential form is:

8186 = 21×40931

Now multiplying the highest exponent prime factors to calculate the LCM of 8180 and 8186.

LCM(8180,8186) = 22×51×4091×40931
LCM(8180,8186) = 33480740

Factors of 8180

List of positive integer factors of 8180 that divides 8180 without a remainder.

1, 2, 4, 5, 10, 20, 409, 818, 1636, 2045, 4090, 8180

Factors of 8186

List of positive integer factors of 8186 that divides 8186 without a remainder.

1, 2, 4093, 8186

Least Common Multiple of 8180 and 8186 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8180 and 8186, than apply into the LCM equation.

GCF(8180,8186) = 2
LCM(8180,8186) = ( 8180 × 8186) / 2
LCM(8180,8186) = 66961480 / 2
LCM(8180,8186) = 33480740

Properties of LCM 8180 and 8186

(i) The LCM of 8186 and 8180 is associative

LCM of 8180 and 8186 = LCM of 8186 and 8180

Related Least Common Multiples of 8180

Related Least Common Multiples of 8186

Frequently Asked Questions on LCM of 8180 and 8186

1. What is the LCM of 8180 and 8186?

Answer: LCM of 8180 and 8186 is 33480740.

2. What are the Factors of 8180?

Answer: Factors of 8180 are 1, 2, 4, 5, 10, 20, 409, 818, 1636, 2045, 4090, 8180. There are 12 integers that are factors of 8180. The greatest factor of 8180 is 8180.

3. What are the Factors of 8186?

Answer: Factors of 8186 are 1, 2, 4093, 8186. There are 4 integers that are factors of 8186. The greatest factor of 8186 is 8186.

4. How to Find the LCM of 8180 and 8186?

Answer:

Least Common Multiple of 8180 and 8186 = 33480740

Step 1: Find the prime factorization of 8180

8180 = 2 x 2 x 5 x 409

Step 2: Find the prime factorization of 8186

8186 = 2 x 4093

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

LCM = 33480740 = 2 x 2 x 5 x 409 x 4093

Step 4: Therefore, the least common multiple of 8180 and 8186 is 33480740.