Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8507 and 8508 the smallest integer that is 72377556 that is divisible by both numbers.
Least Common Multiple (LCM) of 8507 and 8508 is 72377556.
LCM(8507,8508) = 72377556
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 8507 and 8508. First we will calculate the prime factors of 8507 and 8508.
Prime Factorization of 8507
47 | 8507 |
181 | 181 |
1 |
Prime factors of 8507 are 47,181. Prime factorization of 8507 in exponential form is:
8507 = 471×1811
Prime Factorization of 8508
2 | 8508 |
2 | 4254 |
3 | 2127 |
709 | 709 |
1 |
Prime factors of 8508 are 2, 3,709. Prime factorization of 8508 in exponential form is:
8508 = 22×31×7091
Now multiplying the highest exponent prime factors to calculate the LCM of 8507 and 8508.
LCM(8507,8508) = 22×31×471×1811×7091
LCM(8507,8508) = 72377556
Factors of 8507
List of positive integer factors of 8507 that divides 8507 without a remainder.
1, 47, 181, 8507
Factors of 8508
List of positive integer factors of 8508 that divides 8508 without a remainder.
1, 2, 3, 4, 6, 12, 709, 1418, 2127, 2836, 4254, 8508
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8507 and 8508, than apply into the LCM equation.
GCF(8507,8508) = 1
LCM(8507,8508) = ( 8507 × 8508) / 1
LCM(8507,8508) = 72377556 / 1
LCM(8507,8508) = 72377556
(i) The LCM of 8508 and 8507 is associative
LCM of 8507 and 8508 = LCM of 8508 and 8507
1. What is the LCM of 8507 and 8508?
Answer: LCM of 8507 and 8508 is 72377556.
2. What are the Factors of 8507?
Answer: Factors of 8507 are 1, 47, 181, 8507. There are 4 integers that are factors of 8507. The greatest factor of 8507 is 8507.
3. What are the Factors of 8508?
Answer: Factors of 8508 are 1, 2, 3, 4, 6, 12, 709, 1418, 2127, 2836, 4254, 8508. There are 12 integers that are factors of 8508. The greatest factor of 8508 is 8508.
4. How to Find the LCM of 8507 and 8508?
Answer:
Least Common Multiple of 8507 and 8508 = 72377556
Step 1: Find the prime factorization of 8507
8507 = 47 x 181
Step 2: Find the prime factorization of 8508
8508 = 2 x 2 x 3 x 709
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 72377556 = 2 x 2 x 3 x 47 x 181 x 709
Step 4: Therefore, the least common multiple of 8507 and 8508 is 72377556.