Least Common Multiple of 7875 and 7880

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 7880 the smallest integer that is 12411000 that is divisible by both numbers.

Least Common Multiple (LCM) of 7875 and 7880 is 12411000.

LCM(7875,7880) = 12411000

LCM of 7875 and 7880

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

LCM of:
and

Least Common Multiple of 7875 and 7880

LCM of 7875 and 7880 is 12411000

Least common multiple can be found by multiplying the highest exponent prime factors of 7875 and 7880. First we will calculate the prime factors of 7875 and 7880.

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 7880


2 7880
2 3940
2 1970
5 985
197 197
1

Prime factors of 7880 are 2, 5,197. Prime factorization of 7880 in exponential form is:

7880 = 23×51×1971

Now multiplying the highest exponent prime factors to calculate the LCM of 7875 and 7880.

LCM(7875,7880) = 23×32×53×71×1971
LCM(7875,7880) = 12411000

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 7880

List of positive integer factors of 7880 that divides 7880 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 197, 394, 788, 985, 1576, 1970, 3940, 7880

Least Common Multiple of 7875 and 7880 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 7880, than apply into the LCM equation.

GCF(7875,7880) = 5
LCM(7875,7880) = ( 7875 × 7880) / 5
LCM(7875,7880) = 62055000 / 5
LCM(7875,7880) = 12411000

Properties of LCM 7875 and 7880

(i) The LCM of 7880 and 7875 is associative

LCM of 7875 and 7880 = LCM of 7880 and 7875

Related Least Common Multiples of 7875

Related Least Common Multiples of 7880

Frequently Asked Questions on LCM of 7875 and 7880

1. What is the LCM of 7875 and 7880?

Answer: LCM of 7875 and 7880 is 12411000.

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 7880?

Answer: Factors of 7880 are 1, 2, 4, 5, 8, 10, 20, 40, 197, 394, 788, 985, 1576, 1970, 3940, 7880. There are 16 integers that are factors of 7880. The greatest factor of 7880 is 7880.

4. How to Find the LCM of 7875 and 7880?

Answer:

Least Common Multiple of 7875 and 7880 = 12411000

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 7880

7880 = 2 x 2 x 2 x 5 x 197

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

LCM = 12411000 = 2 x 2 x 2 x 3 x 3 x 5 x 5 x 5 x 7 x 197

Step 4: Therefore, the least common multiple of 7875 and 7880 is 12411000.