Least Common Multiple of 7867 and 7873

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7867 and 7873 the smallest integer that is 61936891 that is divisible by both numbers.

Least Common Multiple (LCM) of 7867 and 7873 is 61936891.

LCM(7867,7873) = 61936891

LCM of 7867 and 7873

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

LCM of:
and

Least Common Multiple of 7867 and 7873

LCM of 7867 and 7873 is 61936891

Least common multiple can be found by multiplying the highest exponent prime factors of 7867 and 7873. First we will calculate the prime factors of 7867 and 7873.

Prime Factorization of 7867


7867 7867
1

Prime factors of 7867 are 7867. Prime factorization of 7867 in exponential form is:

7867 = 78671

Prime Factorization of 7873


7873 7873
1

Prime factors of 7873 are 7873. Prime factorization of 7873 in exponential form is:

7873 = 78731

Now multiplying the highest exponent prime factors to calculate the LCM of 7867 and 7873.

LCM(7867,7873) = 78671×78731
LCM(7867,7873) = 61936891

Factors of 7867

List of positive integer factors of 7867 that divides 7867 without a remainder.

1, 7867

Factors of 7873

List of positive integer factors of 7873 that divides 7873 without a remainder.

1, 7873

Least Common Multiple of 7867 and 7873 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7867 and 7873, than apply into the LCM equation.

GCF(7867,7873) = 1
LCM(7867,7873) = ( 7867 × 7873) / 1
LCM(7867,7873) = 61936891 / 1
LCM(7867,7873) = 61936891

Properties of LCM 7867 and 7873

(i) The LCM of 7873 and 7867 is associative

LCM of 7867 and 7873 = LCM of 7873 and 7867

Related Least Common Multiples of 7867

Related Least Common Multiples of 7873

Frequently Asked Questions on LCM of 7867 and 7873

1. What is the LCM of 7867 and 7873?

Answer: LCM of 7867 and 7873 is 61936891.

2. What are the Factors of 7867?

Answer: Factors of 7867 are 1, 7867. There are 2 integers that are factors of 7867. The greatest factor of 7867 is 7867.

3. What are the Factors of 7873?

Answer: Factors of 7873 are 1, 7873. There are 2 integers that are factors of 7873. The greatest factor of 7873 is 7873.

4. How to Find the LCM of 7867 and 7873?

Answer:

Least Common Multiple of 7867 and 7873 = 61936891

Step 1: Find the prime factorization of 7867

7867 = 7867

Step 2: Find the prime factorization of 7873

7873 = 7873

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

LCM = 61936891 = 7867 x 7873

Step 4: Therefore, the least common multiple of 7867 and 7873 is 61936891.