Least Common Multiple of 7877 and 7881

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7877 and 7881 the smallest integer that is 62078637 that is divisible by both numbers.

Least Common Multiple (LCM) of 7877 and 7881 is 62078637.

LCM(7877,7881) = 62078637

LCM of 7877 and 7881

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

LCM of:
and

Least Common Multiple of 7877 and 7881

LCM of 7877 and 7881 is 62078637

Least common multiple can be found by multiplying the highest exponent prime factors of 7877 and 7881. First we will calculate the prime factors of 7877 and 7881.

Prime Factorization of 7877


7877 7877
1

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

7877 = 78771

Prime Factorization of 7881


3 7881
37 2627
71 71
1

Prime factors of 7881 are 3, 37,71. Prime factorization of 7881 in exponential form is:

7881 = 31×371×711

Now multiplying the highest exponent prime factors to calculate the LCM of 7877 and 7881.

LCM(7877,7881) = 31×371×711×78771
LCM(7877,7881) = 62078637

Factors of 7877

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

1, 7877

Factors of 7881

List of positive integer factors of 7881 that divides 7881 without a remainder.

1, 3, 37, 71, 111, 213, 2627, 7881

Least Common Multiple of 7877 and 7881 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7877 and 7881, than apply into the LCM equation.

GCF(7877,7881) = 1
LCM(7877,7881) = ( 7877 × 7881) / 1
LCM(7877,7881) = 62078637 / 1
LCM(7877,7881) = 62078637

Properties of LCM 7877 and 7881

(i) The LCM of 7881 and 7877 is associative

LCM of 7877 and 7881 = LCM of 7881 and 7877

Related Least Common Multiples of 7877

Related Least Common Multiples of 7881

Frequently Asked Questions on LCM of 7877 and 7881

1. What is the LCM of 7877 and 7881?

Answer: LCM of 7877 and 7881 is 62078637.

2. 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.

3. What are the Factors of 7881?

Answer: Factors of 7881 are 1, 3, 37, 71, 111, 213, 2627, 7881. There are 8 integers that are factors of 7881. The greatest factor of 7881 is 7881.

4. How to Find the LCM of 7877 and 7881?

Answer:

Least Common Multiple of 7877 and 7881 = 62078637

Step 1: Find the prime factorization of 7877

7877 = 7877

Step 2: Find the prime factorization of 7881

7881 = 3 x 37 x 71

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

LCM = 62078637 = 3 x 37 x 71 x 7877

Step 4: Therefore, the least common multiple of 7877 and 7881 is 62078637.