Least Common Multiple of 7888 and 7895

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 7895 the smallest integer that is 62275760 that is divisible by both numbers.

Least Common Multiple (LCM) of 7888 and 7895 is 62275760.

LCM(7888,7895) = 62275760

LCM of 7888 and 7895

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

LCM of:
and

Least Common Multiple of 7888 and 7895

LCM of 7888 and 7895 is 62275760

Least common multiple can be found by multiplying the highest exponent prime factors of 7888 and 7895. First we will calculate the prime factors of 7888 and 7895.

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 7895


5 7895
1579 1579
1

Prime factors of 7895 are 5,1579. Prime factorization of 7895 in exponential form is:

7895 = 51×15791

Now multiplying the highest exponent prime factors to calculate the LCM of 7888 and 7895.

LCM(7888,7895) = 24×51×171×291×15791
LCM(7888,7895) = 62275760

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 7895

List of positive integer factors of 7895 that divides 7895 without a remainder.

1, 5, 1579, 7895

Least Common Multiple of 7888 and 7895 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 7895, than apply into the LCM equation.

GCF(7888,7895) = 1
LCM(7888,7895) = ( 7888 × 7895) / 1
LCM(7888,7895) = 62275760 / 1
LCM(7888,7895) = 62275760

Properties of LCM 7888 and 7895

(i) The LCM of 7895 and 7888 is associative

LCM of 7888 and 7895 = LCM of 7895 and 7888

Related Least Common Multiples of 7888

Related Least Common Multiples of 7895

Frequently Asked Questions on LCM of 7888 and 7895

1. What is the LCM of 7888 and 7895?

Answer: LCM of 7888 and 7895 is 62275760.

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 7895?

Answer: Factors of 7895 are 1, 5, 1579, 7895. There are 4 integers that are factors of 7895. The greatest factor of 7895 is 7895.

4. How to Find the LCM of 7888 and 7895?

Answer:

Least Common Multiple of 7888 and 7895 = 62275760

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 7895

7895 = 5 x 1579

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

LCM = 62275760 = 2 x 2 x 2 x 2 x 5 x 17 x 29 x 1579

Step 4: Therefore, the least common multiple of 7888 and 7895 is 62275760.