Least Common Multiple of 7875 and 7879

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7875 and 7879 the smallest integer that is 62047125 that is divisible by both numbers.

Least Common Multiple (LCM) of 7875 and 7879 is 62047125.

LCM(7875,7879) = 62047125

LCM of 7875 and 7879

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

LCM of:
and

Least Common Multiple of 7875 and 7879

LCM of 7875 and 7879 is 62047125

Least common multiple can be found by multiplying the highest exponent prime factors of 7875 and 7879. First we will calculate the prime factors of 7875 and 7879.

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

Prime Factorization of 7879


7879 7879
1

Prime factors of 7879 are 7879. Prime factorization of 7879 in exponential form is:

7879 = 78791

Now multiplying the highest exponent prime factors to calculate the LCM of 7875 and 7879.

LCM(7875,7879) = 32×53×71×78791
LCM(7875,7879) = 62047125

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

Factors of 7879

List of positive integer factors of 7879 that divides 7879 without a remainder.

1, 7879

Least Common Multiple of 7875 and 7879 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7875 and 7879, than apply into the LCM equation.

GCF(7875,7879) = 1
LCM(7875,7879) = ( 7875 × 7879) / 1
LCM(7875,7879) = 62047125 / 1
LCM(7875,7879) = 62047125

Properties of LCM 7875 and 7879

(i) The LCM of 7879 and 7875 is associative

LCM of 7875 and 7879 = LCM of 7879 and 7875

Related Least Common Multiples of 7875

Related Least Common Multiples of 7879

Frequently Asked Questions on LCM of 7875 and 7879

1. What is the LCM of 7875 and 7879?

Answer: LCM of 7875 and 7879 is 62047125.

2. 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.

3. What are the Factors of 7879?

Answer: Factors of 7879 are 1, 7879. There are 2 integers that are factors of 7879. The greatest factor of 7879 is 7879.

4. How to Find the LCM of 7875 and 7879?

Answer:

Least Common Multiple of 7875 and 7879 = 62047125

Step 1: Find the prime factorization of 7875

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

Step 2: Find the prime factorization of 7879

7879 = 7879

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

LCM = 62047125 = 3 x 3 x 5 x 5 x 5 x 7 x 7879

Step 4: Therefore, the least common multiple of 7875 and 7879 is 62047125.