Least Common Multiple of 7868 and 7875

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7868 and 7875 the smallest integer that is 8851500 that is divisible by both numbers.

Least Common Multiple (LCM) of 7868 and 7875 is 8851500.

LCM(7868,7875) = 8851500

LCM of 7868 and 7875

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

LCM of:
and

Least Common Multiple of 7868 and 7875

LCM of 7868 and 7875 is 8851500

Least common multiple can be found by multiplying the highest exponent prime factors of 7868 and 7875. First we will calculate the prime factors of 7868 and 7875.

Prime Factorization of 7868


2 7868
2 3934
7 1967
281 281
1

Prime factors of 7868 are 2, 7,281. Prime factorization of 7868 in exponential form is:

7868 = 22×71×2811

Prime Factorization of 7875


3 7875
3 2625
5 875
5 175
5 35
7 7
1

Prime factors of 7875 are 3, 5,7. Prime factorization of 7875 in exponential form is:

7875 = 32×53×71

Now multiplying the highest exponent prime factors to calculate the LCM of 7868 and 7875.

LCM(7868,7875) = 22×32×53×71×2811
LCM(7868,7875) = 8851500

Factors of 7868

List of positive integer factors of 7868 that divides 7868 without a remainder.

1, 2, 4, 7, 14, 28, 281, 562, 1124, 1967, 3934, 7868

Factors of 7875

List of positive integer factors of 7875 that divides 7875 without a remainder.

1, 3, 5, 7, 9, 15, 21, 25, 35, 45, 63, 75, 105, 125, 175, 225, 315, 375, 525, 875, 1125, 1575, 2625, 7875

Least Common Multiple of 7868 and 7875 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7868 and 7875, than apply into the LCM equation.

GCF(7868,7875) = 7
LCM(7868,7875) = ( 7868 × 7875) / 7
LCM(7868,7875) = 61960500 / 7
LCM(7868,7875) = 8851500

Properties of LCM 7868 and 7875

(i) The LCM of 7875 and 7868 is associative

LCM of 7868 and 7875 = LCM of 7875 and 7868

Related Least Common Multiples of 7868

Related Least Common Multiples of 7875

Frequently Asked Questions on LCM of 7868 and 7875

1. What is the LCM of 7868 and 7875?

Answer: LCM of 7868 and 7875 is 8851500.

2. What are the Factors of 7868?

Answer: Factors of 7868 are 1, 2, 4, 7, 14, 28, 281, 562, 1124, 1967, 3934, 7868. There are 12 integers that are factors of 7868. The greatest factor of 7868 is 7868.

3. What are the Factors of 7875?

Answer: Factors of 7875 are 1, 3, 5, 7, 9, 15, 21, 25, 35, 45, 63, 75, 105, 125, 175, 225, 315, 375, 525, 875, 1125, 1575, 2625, 7875. There are 24 integers that are factors of 7875. The greatest factor of 7875 is 7875.

4. How to Find the LCM of 7868 and 7875?

Answer:

Least Common Multiple of 7868 and 7875 = 8851500

Step 1: Find the prime factorization of 7868

7868 = 2 x 2 x 7 x 281

Step 2: Find the prime factorization of 7875

7875 = 3 x 3 x 5 x 5 x 5 x 7

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

LCM = 8851500 = 2 x 2 x 3 x 3 x 5 x 5 x 5 x 7 x 281

Step 4: Therefore, the least common multiple of 7868 and 7875 is 8851500.