Least Common Multiple of 7870 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 7870 and 7875 the smallest integer that is 12395250 that is divisible by both numbers.

Least Common Multiple (LCM) of 7870 and 7875 is 12395250.

LCM(7870,7875) = 12395250

LCM of 7870 and 7875

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

LCM of:
and

Least Common Multiple of 7870 and 7875

LCM of 7870 and 7875 is 12395250

Least common multiple can be found by multiplying the highest exponent prime factors of 7870 and 7875. First we will calculate the prime factors of 7870 and 7875.

Prime Factorization of 7870


2 7870
5 3935
787 787
1

Prime factors of 7870 are 2, 5,787. Prime factorization of 7870 in exponential form is:

7870 = 21×51×7871

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 7870 and 7875.

LCM(7870,7875) = 21×32×53×71×7871
LCM(7870,7875) = 12395250

Factors of 7870

List of positive integer factors of 7870 that divides 7870 without a remainder.

1, 2, 5, 10, 787, 1574, 3935, 7870

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 7870 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 7870 and 7875, than apply into the LCM equation.

GCF(7870,7875) = 5
LCM(7870,7875) = ( 7870 × 7875) / 5
LCM(7870,7875) = 61976250 / 5
LCM(7870,7875) = 12395250

Properties of LCM 7870 and 7875

(i) The LCM of 7875 and 7870 is associative

LCM of 7870 and 7875 = LCM of 7875 and 7870

Related Least Common Multiples of 7870

Related Least Common Multiples of 7875

Frequently Asked Questions on LCM of 7870 and 7875

1. What is the LCM of 7870 and 7875?

Answer: LCM of 7870 and 7875 is 12395250.

2. What are the Factors of 7870?

Answer: Factors of 7870 are 1, 2, 5, 10, 787, 1574, 3935, 7870. There are 8 integers that are factors of 7870. The greatest factor of 7870 is 7870.

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 7870 and 7875?

Answer:

Least Common Multiple of 7870 and 7875 = 12395250

Step 1: Find the prime factorization of 7870

7870 = 2 x 5 x 787

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 = 12395250 = 2 x 3 x 3 x 5 x 5 x 5 x 7 x 787

Step 4: Therefore, the least common multiple of 7870 and 7875 is 12395250.