Least Common Multiple of 7888 and 7894

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7888 and 7894 the smallest integer that is 31133936 that is divisible by both numbers.

Least Common Multiple (LCM) of 7888 and 7894 is 31133936.

LCM(7888,7894) = 31133936

LCM of 7888 and 7894

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

LCM of:
and

Least Common Multiple of 7888 and 7894

LCM of 7888 and 7894 is 31133936

Least common multiple can be found by multiplying the highest exponent prime factors of 7888 and 7894. First we will calculate the prime factors of 7888 and 7894.

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

Prime Factorization of 7894


2 7894
3947 3947
1

Prime factors of 7894 are 2,3947. Prime factorization of 7894 in exponential form is:

7894 = 21×39471

Now multiplying the highest exponent prime factors to calculate the LCM of 7888 and 7894.

LCM(7888,7894) = 24×171×291×39471
LCM(7888,7894) = 31133936

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

Factors of 7894

List of positive integer factors of 7894 that divides 7894 without a remainder.

1, 2, 3947, 7894

Least Common Multiple of 7888 and 7894 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7888 and 7894, than apply into the LCM equation.

GCF(7888,7894) = 2
LCM(7888,7894) = ( 7888 × 7894) / 2
LCM(7888,7894) = 62267872 / 2
LCM(7888,7894) = 31133936

Properties of LCM 7888 and 7894

(i) The LCM of 7894 and 7888 is associative

LCM of 7888 and 7894 = LCM of 7894 and 7888

Related Least Common Multiples of 7888

Related Least Common Multiples of 7894

Frequently Asked Questions on LCM of 7888 and 7894

1. What is the LCM of 7888 and 7894?

Answer: LCM of 7888 and 7894 is 31133936.

2. 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.

3. What are the Factors of 7894?

Answer: Factors of 7894 are 1, 2, 3947, 7894. There are 4 integers that are factors of 7894. The greatest factor of 7894 is 7894.

4. How to Find the LCM of 7888 and 7894?

Answer:

Least Common Multiple of 7888 and 7894 = 31133936

Step 1: Find the prime factorization of 7888

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

Step 2: Find the prime factorization of 7894

7894 = 2 x 3947

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

LCM = 31133936 = 2 x 2 x 2 x 2 x 17 x 29 x 3947

Step 4: Therefore, the least common multiple of 7888 and 7894 is 31133936.