Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8693 and 8699 the smallest integer that is 75620407 that is divisible by both numbers.
Least Common Multiple (LCM) of 8693 and 8699 is 75620407.
LCM(8693,8699) = 75620407
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 8693 and 8699. First we will calculate the prime factors of 8693 and 8699.
Prime Factorization of 8693
8693 | 8693 |
1 |
Prime factors of 8693 are 8693. Prime factorization of 8693 in exponential form is:
8693 = 86931
Prime Factorization of 8699
8699 | 8699 |
1 |
Prime factors of 8699 are 8699. Prime factorization of 8699 in exponential form is:
8699 = 86991
Now multiplying the highest exponent prime factors to calculate the LCM of 8693 and 8699.
LCM(8693,8699) = 86931×86991
LCM(8693,8699) = 75620407
Factors of 8693
List of positive integer factors of 8693 that divides 8693 without a remainder.
1, 8693
Factors of 8699
List of positive integer factors of 8699 that divides 8699 without a remainder.
1, 8699
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8693 and 8699, than apply into the LCM equation.
GCF(8693,8699) = 1
LCM(8693,8699) = ( 8693 × 8699) / 1
LCM(8693,8699) = 75620407 / 1
LCM(8693,8699) = 75620407
(i) The LCM of 8699 and 8693 is associative
LCM of 8693 and 8699 = LCM of 8699 and 8693
1. What is the LCM of 8693 and 8699?
Answer: LCM of 8693 and 8699 is 75620407.
2. What are the Factors of 8693?
Answer: Factors of 8693 are 1, 8693. There are 2 integers that are factors of 8693. The greatest factor of 8693 is 8693.
3. What are the Factors of 8699?
Answer: Factors of 8699 are 1, 8699. There are 2 integers that are factors of 8699. The greatest factor of 8699 is 8699.
4. How to Find the LCM of 8693 and 8699?
Answer:
Least Common Multiple of 8693 and 8699 = 75620407
Step 1: Find the prime factorization of 8693
8693 = 8693
Step 2: Find the prime factorization of 8699
8699 = 8699
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 75620407 = 8693 x 8699
Step 4: Therefore, the least common multiple of 8693 and 8699 is 75620407.