Least Common Multiple of 7869 and 7877

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7869 and 7877 the smallest integer that is 61984113 that is divisible by both numbers.

Least Common Multiple (LCM) of 7869 and 7877 is 61984113.

LCM(7869,7877) = 61984113

LCM of 7869 and 7877

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

LCM of:
and

Least Common Multiple of 7869 and 7877

LCM of 7869 and 7877 is 61984113

Least common multiple can be found by multiplying the highest exponent prime factors of 7869 and 7877. First we will calculate the prime factors of 7869 and 7877.

Prime Factorization of 7869


3 7869
43 2623
61 61
1

Prime factors of 7869 are 3, 43,61. Prime factorization of 7869 in exponential form is:

7869 = 31×431×611

Prime Factorization of 7877


7877 7877
1

Prime factors of 7877 are 7877. Prime factorization of 7877 in exponential form is:

7877 = 78771

Now multiplying the highest exponent prime factors to calculate the LCM of 7869 and 7877.

LCM(7869,7877) = 31×431×611×78771
LCM(7869,7877) = 61984113

Factors of 7869

List of positive integer factors of 7869 that divides 7869 without a remainder.

1, 3, 43, 61, 129, 183, 2623, 7869

Factors of 7877

List of positive integer factors of 7877 that divides 7877 without a remainder.

1, 7877

Least Common Multiple of 7869 and 7877 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7869 and 7877, than apply into the LCM equation.

GCF(7869,7877) = 1
LCM(7869,7877) = ( 7869 × 7877) / 1
LCM(7869,7877) = 61984113 / 1
LCM(7869,7877) = 61984113

Properties of LCM 7869 and 7877

(i) The LCM of 7877 and 7869 is associative

LCM of 7869 and 7877 = LCM of 7877 and 7869

Related Least Common Multiples of 7869

Related Least Common Multiples of 7877

Frequently Asked Questions on LCM of 7869 and 7877

1. What is the LCM of 7869 and 7877?

Answer: LCM of 7869 and 7877 is 61984113.

2. What are the Factors of 7869?

Answer: Factors of 7869 are 1, 3, 43, 61, 129, 183, 2623, 7869. There are 8 integers that are factors of 7869. The greatest factor of 7869 is 7869.

3. What are the Factors of 7877?

Answer: Factors of 7877 are 1, 7877. There are 2 integers that are factors of 7877. The greatest factor of 7877 is 7877.

4. How to Find the LCM of 7869 and 7877?

Answer:

Least Common Multiple of 7869 and 7877 = 61984113

Step 1: Find the prime factorization of 7869

7869 = 3 x 43 x 61

Step 2: Find the prime factorization of 7877

7877 = 7877

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

LCM = 61984113 = 3 x 43 x 61 x 7877

Step 4: Therefore, the least common multiple of 7869 and 7877 is 61984113.