Least Common Multiple of 7882 and 7886

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7882 and 7886 the smallest integer that is 31078726 that is divisible by both numbers.

Least Common Multiple (LCM) of 7882 and 7886 is 31078726.

LCM(7882,7886) = 31078726

LCM of 7882 and 7886

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

LCM of:
and

Least Common Multiple of 7882 and 7886

LCM of 7882 and 7886 is 31078726

Least common multiple can be found by multiplying the highest exponent prime factors of 7882 and 7886. First we will calculate the prime factors of 7882 and 7886.

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

Prime Factorization of 7886


2 7886
3943 3943
1

Prime factors of 7886 are 2,3943. Prime factorization of 7886 in exponential form is:

7886 = 21×39431

Now multiplying the highest exponent prime factors to calculate the LCM of 7882 and 7886.

LCM(7882,7886) = 21×71×5631×39431
LCM(7882,7886) = 31078726

Factors of 7882

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

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

Factors of 7886

List of positive integer factors of 7886 that divides 7886 without a remainder.

1, 2, 3943, 7886

Least Common Multiple of 7882 and 7886 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7882 and 7886, than apply into the LCM equation.

GCF(7882,7886) = 2
LCM(7882,7886) = ( 7882 × 7886) / 2
LCM(7882,7886) = 62157452 / 2
LCM(7882,7886) = 31078726

Properties of LCM 7882 and 7886

(i) The LCM of 7886 and 7882 is associative

LCM of 7882 and 7886 = LCM of 7886 and 7882

Related Least Common Multiples of 7882

Related Least Common Multiples of 7886

Frequently Asked Questions on LCM of 7882 and 7886

1. What is the LCM of 7882 and 7886?

Answer: LCM of 7882 and 7886 is 31078726.

2. 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.

3. What are the Factors of 7886?

Answer: Factors of 7886 are 1, 2, 3943, 7886. There are 4 integers that are factors of 7886. The greatest factor of 7886 is 7886.

4. How to Find the LCM of 7882 and 7886?

Answer:

Least Common Multiple of 7882 and 7886 = 31078726

Step 1: Find the prime factorization of 7882

7882 = 2 x 7 x 563

Step 2: Find the prime factorization of 7886

7886 = 2 x 3943

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

LCM = 31078726 = 2 x 7 x 563 x 3943

Step 4: Therefore, the least common multiple of 7882 and 7886 is 31078726.