Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8751 and 8757 the smallest integer that is 25544169 that is divisible by both numbers.
Least Common Multiple (LCM) of 8751 and 8757 is 25544169.
LCM(8751,8757) = 25544169
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 8751 and 8757. First we will calculate the prime factors of 8751 and 8757.
Prime Factorization of 8751
3 | 8751 |
2917 | 2917 |
1 |
Prime factors of 8751 are 3,2917. Prime factorization of 8751 in exponential form is:
8751 = 31×29171
Prime Factorization of 8757
3 | 8757 |
3 | 2919 |
7 | 973 |
139 | 139 |
1 |
Prime factors of 8757 are 3, 7,139. Prime factorization of 8757 in exponential form is:
8757 = 32×71×1391
Now multiplying the highest exponent prime factors to calculate the LCM of 8751 and 8757.
LCM(8751,8757) = 32×71×1391×29171
LCM(8751,8757) = 25544169
Factors of 8751
List of positive integer factors of 8751 that divides 8751 without a remainder.
1, 3, 2917, 8751
Factors of 8757
List of positive integer factors of 8757 that divides 8757 without a remainder.
1, 3, 7, 9, 21, 63, 139, 417, 973, 1251, 2919, 8757
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8751 and 8757, than apply into the LCM equation.
GCF(8751,8757) = 3
LCM(8751,8757) = ( 8751 × 8757) / 3
LCM(8751,8757) = 76632507 / 3
LCM(8751,8757) = 25544169
(i) The LCM of 8757 and 8751 is associative
LCM of 8751 and 8757 = LCM of 8757 and 8751
1. What is the LCM of 8751 and 8757?
Answer: LCM of 8751 and 8757 is 25544169.
2. What are the Factors of 8751?
Answer: Factors of 8751 are 1, 3, 2917, 8751. There are 4 integers that are factors of 8751. The greatest factor of 8751 is 8751.
3. What are the Factors of 8757?
Answer: Factors of 8757 are 1, 3, 7, 9, 21, 63, 139, 417, 973, 1251, 2919, 8757. There are 12 integers that are factors of 8757. The greatest factor of 8757 is 8757.
4. How to Find the LCM of 8751 and 8757?
Answer:
Least Common Multiple of 8751 and 8757 = 25544169
Step 1: Find the prime factorization of 8751
8751 = 3 x 2917
Step 2: Find the prime factorization of 8757
8757 = 3 x 3 x 7 x 139
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 25544169 = 3 x 3 x 7 x 139 x 2917
Step 4: Therefore, the least common multiple of 8751 and 8757 is 25544169.