Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8753 and 8757 the smallest integer that is 76650021 that is divisible by both numbers.
Least Common Multiple (LCM) of 8753 and 8757 is 76650021.
LCM(8753,8757) = 76650021
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 8753 and 8757. First we will calculate the prime factors of 8753 and 8757.
Prime Factorization of 8753
8753 | 8753 |
1 |
Prime factors of 8753 are 8753. Prime factorization of 8753 in exponential form is:
8753 = 87531
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 8753 and 8757.
LCM(8753,8757) = 32×71×1391×87531
LCM(8753,8757) = 76650021
Factors of 8753
List of positive integer factors of 8753 that divides 8753 without a remainder.
1, 8753
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 8753 and 8757, than apply into the LCM equation.
GCF(8753,8757) = 1
LCM(8753,8757) = ( 8753 × 8757) / 1
LCM(8753,8757) = 76650021 / 1
LCM(8753,8757) = 76650021
(i) The LCM of 8757 and 8753 is associative
LCM of 8753 and 8757 = LCM of 8757 and 8753
1. What is the LCM of 8753 and 8757?
Answer: LCM of 8753 and 8757 is 76650021.
2. What are the Factors of 8753?
Answer: Factors of 8753 are 1, 8753. There are 2 integers that are factors of 8753. The greatest factor of 8753 is 8753.
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 8753 and 8757?
Answer:
Least Common Multiple of 8753 and 8757 = 76650021
Step 1: Find the prime factorization of 8753
8753 = 8753
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 = 76650021 = 3 x 3 x 7 x 139 x 8753
Step 4: Therefore, the least common multiple of 8753 and 8757 is 76650021.