Least Common Multiple of 7878 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 7878 and 7881 the smallest integer that is 20695506 that is divisible by both numbers.

Least Common Multiple (LCM) of 7878 and 7881 is 20695506.

LCM(7878,7881) = 20695506

LCM of 7878 and 7881

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

LCM of:
and

Least Common Multiple of 7878 and 7881

LCM of 7878 and 7881 is 20695506

Least common multiple can be found by multiplying the highest exponent prime factors of 7878 and 7881. First we will calculate the prime factors of 7878 and 7881.

Prime Factorization of 7878


2 7878
3 3939
13 1313
101 101
1

Prime factors of 7878 are 2, 3, 13,101. Prime factorization of 7878 in exponential form is:

7878 = 21×31×131×1011

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 7878 and 7881.

LCM(7878,7881) = 21×31×131×371×711×1011
LCM(7878,7881) = 20695506

Factors of 7878

List of positive integer factors of 7878 that divides 7878 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 101, 202, 303, 606, 1313, 2626, 3939, 7878

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 7878 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 7878 and 7881, than apply into the LCM equation.

GCF(7878,7881) = 3
LCM(7878,7881) = ( 7878 × 7881) / 3
LCM(7878,7881) = 62086518 / 3
LCM(7878,7881) = 20695506

Properties of LCM 7878 and 7881

(i) The LCM of 7881 and 7878 is associative

LCM of 7878 and 7881 = LCM of 7881 and 7878

Related Least Common Multiples of 7878

Related Least Common Multiples of 7881

Frequently Asked Questions on LCM of 7878 and 7881

1. What is the LCM of 7878 and 7881?

Answer: LCM of 7878 and 7881 is 20695506.

2. What are the Factors of 7878?

Answer: Factors of 7878 are 1, 2, 3, 6, 13, 26, 39, 78, 101, 202, 303, 606, 1313, 2626, 3939, 7878. There are 16 integers that are factors of 7878. The greatest factor of 7878 is 7878.

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 7878 and 7881?

Answer:

Least Common Multiple of 7878 and 7881 = 20695506

Step 1: Find the prime factorization of 7878

7878 = 2 x 3 x 13 x 101

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 = 20695506 = 2 x 3 x 13 x 37 x 71 x 101

Step 4: Therefore, the least common multiple of 7878 and 7881 is 20695506.