Least Common Multiple of 8174 and 8180

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8174 and 8180 the smallest integer that is 33431660 that is divisible by both numbers.

Least Common Multiple (LCM) of 8174 and 8180 is 33431660.

LCM(8174,8180) = 33431660

LCM of 8174 and 8180

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

LCM of:
and

Least Common Multiple of 8174 and 8180

LCM of 8174 and 8180 is 33431660

Least common multiple can be found by multiplying the highest exponent prime factors of 8174 and 8180. First we will calculate the prime factors of 8174 and 8180.

Prime Factorization of 8174


2 8174
61 4087
67 67
1

Prime factors of 8174 are 2, 61,67. Prime factorization of 8174 in exponential form is:

8174 = 21×611×671

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8174 and 8180.

LCM(8174,8180) = 22×51×611×671×4091
LCM(8174,8180) = 33431660

Factors of 8174

List of positive integer factors of 8174 that divides 8174 without a remainder.

1, 2, 61, 67, 122, 134, 4087, 8174

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

Least Common Multiple of 8174 and 8180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8174 and 8180, than apply into the LCM equation.

GCF(8174,8180) = 2
LCM(8174,8180) = ( 8174 × 8180) / 2
LCM(8174,8180) = 66863320 / 2
LCM(8174,8180) = 33431660

Properties of LCM 8174 and 8180

(i) The LCM of 8180 and 8174 is associative

LCM of 8174 and 8180 = LCM of 8180 and 8174

Related Least Common Multiples of 8174

Related Least Common Multiples of 8180

Frequently Asked Questions on LCM of 8174 and 8180

1. What is the LCM of 8174 and 8180?

Answer: LCM of 8174 and 8180 is 33431660.

2. What are the Factors of 8174?

Answer: Factors of 8174 are 1, 2, 61, 67, 122, 134, 4087, 8174. There are 8 integers that are factors of 8174. The greatest factor of 8174 is 8174.

3. 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.

4. How to Find the LCM of 8174 and 8180?

Answer:

Least Common Multiple of 8174 and 8180 = 33431660

Step 1: Find the prime factorization of 8174

8174 = 2 x 61 x 67

Step 2: Find the prime factorization of 8180

8180 = 2 x 2 x 5 x 409

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

LCM = 33431660 = 2 x 2 x 5 x 61 x 67 x 409

Step 4: Therefore, the least common multiple of 8174 and 8180 is 33431660.