Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8577 and 8582 the smallest integer that is 73607814 that is divisible by both numbers.
Least Common Multiple (LCM) of 8577 and 8582 is 73607814.
LCM(8577,8582) = 73607814
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 8577 and 8582. First we will calculate the prime factors of 8577 and 8582.
Prime Factorization of 8577
3 | 8577 |
3 | 2859 |
953 | 953 |
1 |
Prime factors of 8577 are 3,953. Prime factorization of 8577 in exponential form is:
8577 = 32×9531
Prime Factorization of 8582
2 | 8582 |
7 | 4291 |
613 | 613 |
1 |
Prime factors of 8582 are 2, 7,613. Prime factorization of 8582 in exponential form is:
8582 = 21×71×6131
Now multiplying the highest exponent prime factors to calculate the LCM of 8577 and 8582.
LCM(8577,8582) = 21×32×71×6131×9531
LCM(8577,8582) = 73607814
Factors of 8577
List of positive integer factors of 8577 that divides 8577 without a remainder.
1, 3, 9, 953, 2859, 8577
Factors of 8582
List of positive integer factors of 8582 that divides 8582 without a remainder.
1, 2, 7, 14, 613, 1226, 4291, 8582
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8577 and 8582, than apply into the LCM equation.
GCF(8577,8582) = 1
LCM(8577,8582) = ( 8577 × 8582) / 1
LCM(8577,8582) = 73607814 / 1
LCM(8577,8582) = 73607814
(i) The LCM of 8582 and 8577 is associative
LCM of 8577 and 8582 = LCM of 8582 and 8577
1. What is the LCM of 8577 and 8582?
Answer: LCM of 8577 and 8582 is 73607814.
2. What are the Factors of 8577?
Answer: Factors of 8577 are 1, 3, 9, 953, 2859, 8577. There are 6 integers that are factors of 8577. The greatest factor of 8577 is 8577.
3. What are the Factors of 8582?
Answer: Factors of 8582 are 1, 2, 7, 14, 613, 1226, 4291, 8582. There are 8 integers that are factors of 8582. The greatest factor of 8582 is 8582.
4. How to Find the LCM of 8577 and 8582?
Answer:
Least Common Multiple of 8577 and 8582 = 73607814
Step 1: Find the prime factorization of 8577
8577 = 3 x 3 x 953
Step 2: Find the prime factorization of 8582
8582 = 2 x 7 x 613
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 73607814 = 2 x 3 x 3 x 7 x 613 x 953
Step 4: Therefore, the least common multiple of 8577 and 8582 is 73607814.