Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8486 and 8491 the smallest integer that is 72054626 that is divisible by both numbers.
Least Common Multiple (LCM) of 8486 and 8491 is 72054626.
LCM(8486,8491) = 72054626
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 8486 and 8491. First we will calculate the prime factors of 8486 and 8491.
Prime Factorization of 8486
2 | 8486 |
4243 | 4243 |
1 |
Prime factors of 8486 are 2,4243. Prime factorization of 8486 in exponential form is:
8486 = 21×42431
Prime Factorization of 8491
7 | 8491 |
1213 | 1213 |
1 |
Prime factors of 8491 are 7,1213. Prime factorization of 8491 in exponential form is:
8491 = 71×12131
Now multiplying the highest exponent prime factors to calculate the LCM of 8486 and 8491.
LCM(8486,8491) = 21×71×12131×42431
LCM(8486,8491) = 72054626
Factors of 8486
List of positive integer factors of 8486 that divides 8486 without a remainder.
1, 2, 4243, 8486
Factors of 8491
List of positive integer factors of 8491 that divides 8491 without a remainder.
1, 7, 1213, 8491
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8486 and 8491, than apply into the LCM equation.
GCF(8486,8491) = 1
LCM(8486,8491) = ( 8486 × 8491) / 1
LCM(8486,8491) = 72054626 / 1
LCM(8486,8491) = 72054626
(i) The LCM of 8491 and 8486 is associative
LCM of 8486 and 8491 = LCM of 8491 and 8486
1. What is the LCM of 8486 and 8491?
Answer: LCM of 8486 and 8491 is 72054626.
2. What are the Factors of 8486?
Answer: Factors of 8486 are 1, 2, 4243, 8486. There are 4 integers that are factors of 8486. The greatest factor of 8486 is 8486.
3. What are the Factors of 8491?
Answer: Factors of 8491 are 1, 7, 1213, 8491. There are 4 integers that are factors of 8491. The greatest factor of 8491 is 8491.
4. How to Find the LCM of 8486 and 8491?
Answer:
Least Common Multiple of 8486 and 8491 = 72054626
Step 1: Find the prime factorization of 8486
8486 = 2 x 4243
Step 2: Find the prime factorization of 8491
8491 = 7 x 1213
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 72054626 = 2 x 7 x 1213 x 4243
Step 4: Therefore, the least common multiple of 8486 and 8491 is 72054626.