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
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
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
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
(i) The LCM of 7883 and 7875 is associative
LCM of 7875 and 7883 = LCM of 7883 and 7875
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.