Least Common Multiple of 7891 and 7899

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7891 and 7899 the smallest integer that is 62331009 that is divisible by both numbers.

Least Common Multiple (LCM) of 7891 and 7899 is 62331009.

LCM(7891,7899) = 62331009

LCM of 7891 and 7899

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

LCM of:
and

Least Common Multiple of 7891 and 7899

LCM of 7891 and 7899 is 62331009

Least common multiple can be found by multiplying the highest exponent prime factors of 7891 and 7899. First we will calculate the prime factors of 7891 and 7899.

Prime Factorization of 7891


13 7891
607 607
1

Prime factors of 7891 are 13,607. Prime factorization of 7891 in exponential form is:

7891 = 131×6071

Prime Factorization of 7899


3 7899
2633 2633
1

Prime factors of 7899 are 3,2633. Prime factorization of 7899 in exponential form is:

7899 = 31×26331

Now multiplying the highest exponent prime factors to calculate the LCM of 7891 and 7899.

LCM(7891,7899) = 31×131×6071×26331
LCM(7891,7899) = 62331009

Factors of 7891

List of positive integer factors of 7891 that divides 7891 without a remainder.

1, 13, 607, 7891

Factors of 7899

List of positive integer factors of 7899 that divides 7899 without a remainder.

1, 3, 2633, 7899

Least Common Multiple of 7891 and 7899 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7891 and 7899, than apply into the LCM equation.

GCF(7891,7899) = 1
LCM(7891,7899) = ( 7891 × 7899) / 1
LCM(7891,7899) = 62331009 / 1
LCM(7891,7899) = 62331009

Properties of LCM 7891 and 7899

(i) The LCM of 7899 and 7891 is associative

LCM of 7891 and 7899 = LCM of 7899 and 7891

Related Least Common Multiples of 7891

Related Least Common Multiples of 7899

Frequently Asked Questions on LCM of 7891 and 7899

1. What is the LCM of 7891 and 7899?

Answer: LCM of 7891 and 7899 is 62331009.

2. What are the Factors of 7891?

Answer: Factors of 7891 are 1, 13, 607, 7891. There are 4 integers that are factors of 7891. The greatest factor of 7891 is 7891.

3. What are the Factors of 7899?

Answer: Factors of 7899 are 1, 3, 2633, 7899. There are 4 integers that are factors of 7899. The greatest factor of 7899 is 7899.

4. How to Find the LCM of 7891 and 7899?

Answer:

Least Common Multiple of 7891 and 7899 = 62331009

Step 1: Find the prime factorization of 7891

7891 = 13 x 607

Step 2: Find the prime factorization of 7899

7899 = 3 x 2633

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

LCM = 62331009 = 3 x 13 x 607 x 2633

Step 4: Therefore, the least common multiple of 7891 and 7899 is 62331009.