Least Common Multiple of 7878 and 7882

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 7882 the smallest integer that is 31047198 that is divisible by both numbers.

Least Common Multiple (LCM) of 7878 and 7882 is 31047198.

LCM(7878,7882) = 31047198

LCM of 7878 and 7882

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

LCM of:
and

Least Common Multiple of 7878 and 7882

LCM of 7878 and 7882 is 31047198

Least common multiple can be found by multiplying the highest exponent prime factors of 7878 and 7882. First we will calculate the prime factors of 7878 and 7882.

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 7882


2 7882
7 3941
563 563
1

Prime factors of 7882 are 2, 7,563. Prime factorization of 7882 in exponential form is:

7882 = 21×71×5631

Now multiplying the highest exponent prime factors to calculate the LCM of 7878 and 7882.

LCM(7878,7882) = 21×31×71×131×1011×5631
LCM(7878,7882) = 31047198

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 7882

List of positive integer factors of 7882 that divides 7882 without a remainder.

1, 2, 7, 14, 563, 1126, 3941, 7882

Least Common Multiple of 7878 and 7882 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 7882, than apply into the LCM equation.

GCF(7878,7882) = 2
LCM(7878,7882) = ( 7878 × 7882) / 2
LCM(7878,7882) = 62094396 / 2
LCM(7878,7882) = 31047198

Properties of LCM 7878 and 7882

(i) The LCM of 7882 and 7878 is associative

LCM of 7878 and 7882 = LCM of 7882 and 7878

Related Least Common Multiples of 7878

Related Least Common Multiples of 7882

Frequently Asked Questions on LCM of 7878 and 7882

1. What is the LCM of 7878 and 7882?

Answer: LCM of 7878 and 7882 is 31047198.

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 7882?

Answer: Factors of 7882 are 1, 2, 7, 14, 563, 1126, 3941, 7882. There are 8 integers that are factors of 7882. The greatest factor of 7882 is 7882.

4. How to Find the LCM of 7878 and 7882?

Answer:

Least Common Multiple of 7878 and 7882 = 31047198

Step 1: Find the prime factorization of 7878

7878 = 2 x 3 x 13 x 101

Step 2: Find the prime factorization of 7882

7882 = 2 x 7 x 563

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

LCM = 31047198 = 2 x 3 x 7 x 13 x 101 x 563

Step 4: Therefore, the least common multiple of 7878 and 7882 is 31047198.