Least Common Multiple of 7875 and 7883

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 7883 the smallest integer that is 62078625 that is divisible by both numbers.

Least Common Multiple (LCM) of 7875 and 7883 is 62078625.

LCM(7875,7883) = 62078625

LCM of 7875 and 7883

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

LCM of:
and

Least Common Multiple of 7875 and 7883

LCM of 7875 and 7883 is 62078625

Least common multiple can be found by multiplying the highest exponent prime factors of 7875 and 7883. First we will calculate the prime factors of 7875 and 7883.

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 7883


7883 7883
1

Prime factors of 7883 are 7883. Prime factorization of 7883 in exponential form is:

7883 = 78831

Now multiplying the highest exponent prime factors to calculate the LCM of 7875 and 7883.

LCM(7875,7883) = 32×53×71×78831
LCM(7875,7883) = 62078625

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 7883

List of positive integer factors of 7883 that divides 7883 without a remainder.

1, 7883

Least Common Multiple of 7875 and 7883 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 7883, than apply into the LCM equation.

GCF(7875,7883) = 1
LCM(7875,7883) = ( 7875 × 7883) / 1
LCM(7875,7883) = 62078625 / 1
LCM(7875,7883) = 62078625

Properties of LCM 7875 and 7883

(i) The LCM of 7883 and 7875 is associative

LCM of 7875 and 7883 = LCM of 7883 and 7875

Related Least Common Multiples of 7875

Related Least Common Multiples of 7883

Frequently Asked Questions on LCM of 7875 and 7883

1. What is the LCM of 7875 and 7883?

Answer: LCM of 7875 and 7883 is 62078625.

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 7883?

Answer: Factors of 7883 are 1, 7883. There are 2 integers that are factors of 7883. The greatest factor of 7883 is 7883.

4. How to Find the LCM of 7875 and 7883?

Answer:

Least Common Multiple of 7875 and 7883 = 62078625

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 7883

7883 = 7883

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

LCM = 62078625 = 3 x 3 x 5 x 5 x 5 x 7 x 7883

Step 4: Therefore, the least common multiple of 7875 and 7883 is 62078625.