Least Common Multiple of 7882 and 7888

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 7888 the smallest integer that is 31086608 that is divisible by both numbers.

Least Common Multiple (LCM) of 7882 and 7888 is 31086608.

LCM(7882,7888) = 31086608

LCM of 7882 and 7888

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

LCM of:
and

Least Common Multiple of 7882 and 7888

LCM of 7882 and 7888 is 31086608

Least common multiple can be found by multiplying the highest exponent prime factors of 7882 and 7888. First we will calculate the prime factors of 7882 and 7888.

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 7888


2 7888
2 3944
2 1972
2 986
17 493
29 29
1

Prime factors of 7888 are 2, 17,29. Prime factorization of 7888 in exponential form is:

7888 = 24×171×291

Now multiplying the highest exponent prime factors to calculate the LCM of 7882 and 7888.

LCM(7882,7888) = 24×71×171×291×5631
LCM(7882,7888) = 31086608

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 7888

List of positive integer factors of 7888 that divides 7888 without a remainder.

1, 2, 4, 8, 16, 17, 29, 34, 58, 68, 116, 136, 232, 272, 464, 493, 986, 1972, 3944, 7888

Least Common Multiple of 7882 and 7888 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 7888, than apply into the LCM equation.

GCF(7882,7888) = 2
LCM(7882,7888) = ( 7882 × 7888) / 2
LCM(7882,7888) = 62173216 / 2
LCM(7882,7888) = 31086608

Properties of LCM 7882 and 7888

(i) The LCM of 7888 and 7882 is associative

LCM of 7882 and 7888 = LCM of 7888 and 7882

Related Least Common Multiples of 7882

Related Least Common Multiples of 7888

Frequently Asked Questions on LCM of 7882 and 7888

1. What is the LCM of 7882 and 7888?

Answer: LCM of 7882 and 7888 is 31086608.

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 7888?

Answer: Factors of 7888 are 1, 2, 4, 8, 16, 17, 29, 34, 58, 68, 116, 136, 232, 272, 464, 493, 986, 1972, 3944, 7888. There are 20 integers that are factors of 7888. The greatest factor of 7888 is 7888.

4. How to Find the LCM of 7882 and 7888?

Answer:

Least Common Multiple of 7882 and 7888 = 31086608

Step 1: Find the prime factorization of 7882

7882 = 2 x 7 x 563

Step 2: Find the prime factorization of 7888

7888 = 2 x 2 x 2 x 2 x 17 x 29

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

LCM = 31086608 = 2 x 2 x 2 x 2 x 7 x 17 x 29 x 563

Step 4: Therefore, the least common multiple of 7882 and 7888 is 31086608.