Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8663 and 8669 the smallest integer that is 75099547 that is divisible by both numbers.
Least Common Multiple (LCM) of 8663 and 8669 is 75099547.
LCM(8663,8669) = 75099547
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 8663 and 8669. First we will calculate the prime factors of 8663 and 8669.
Prime Factorization of 8663
8663 | 8663 |
1 |
Prime factors of 8663 are 8663. Prime factorization of 8663 in exponential form is:
8663 = 86631
Prime Factorization of 8669
8669 | 8669 |
1 |
Prime factors of 8669 are 8669. Prime factorization of 8669 in exponential form is:
8669 = 86691
Now multiplying the highest exponent prime factors to calculate the LCM of 8663 and 8669.
LCM(8663,8669) = 86631×86691
LCM(8663,8669) = 75099547
Factors of 8663
List of positive integer factors of 8663 that divides 8663 without a remainder.
1, 8663
Factors of 8669
List of positive integer factors of 8669 that divides 8669 without a remainder.
1, 8669
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8663 and 8669, than apply into the LCM equation.
GCF(8663,8669) = 1
LCM(8663,8669) = ( 8663 × 8669) / 1
LCM(8663,8669) = 75099547 / 1
LCM(8663,8669) = 75099547
(i) The LCM of 8669 and 8663 is associative
LCM of 8663 and 8669 = LCM of 8669 and 8663
1. What is the LCM of 8663 and 8669?
Answer: LCM of 8663 and 8669 is 75099547.
2. What are the Factors of 8663?
Answer: Factors of 8663 are 1, 8663. There are 2 integers that are factors of 8663. The greatest factor of 8663 is 8663.
3. What are the Factors of 8669?
Answer: Factors of 8669 are 1, 8669. There are 2 integers that are factors of 8669. The greatest factor of 8669 is 8669.
4. How to Find the LCM of 8663 and 8669?
Answer:
Least Common Multiple of 8663 and 8669 = 75099547
Step 1: Find the prime factorization of 8663
8663 = 8663
Step 2: Find the prime factorization of 8669
8669 = 8669
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 75099547 = 8663 x 8669
Step 4: Therefore, the least common multiple of 8663 and 8669 is 75099547.