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 8493 the smallest integer that is 72071598 that is divisible by both numbers.
Least Common Multiple (LCM) of 8486 and 8493 is 72071598.
LCM(8486,8493) = 72071598
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 8493. First we will calculate the prime factors of 8486 and 8493.
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 8493
3 | 8493 |
19 | 2831 |
149 | 149 |
1 |
Prime factors of 8493 are 3, 19,149. Prime factorization of 8493 in exponential form is:
8493 = 31×191×1491
Now multiplying the highest exponent prime factors to calculate the LCM of 8486 and 8493.
LCM(8486,8493) = 21×31×191×1491×42431
LCM(8486,8493) = 72071598
Factors of 8486
List of positive integer factors of 8486 that divides 8486 without a remainder.
1, 2, 4243, 8486
Factors of 8493
List of positive integer factors of 8493 that divides 8493 without a remainder.
1, 3, 19, 57, 149, 447, 2831, 8493
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8486 and 8493, than apply into the LCM equation.
GCF(8486,8493) = 1
LCM(8486,8493) = ( 8486 × 8493) / 1
LCM(8486,8493) = 72071598 / 1
LCM(8486,8493) = 72071598
(i) The LCM of 8493 and 8486 is associative
LCM of 8486 and 8493 = LCM of 8493 and 8486
1. What is the LCM of 8486 and 8493?
Answer: LCM of 8486 and 8493 is 72071598.
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 8493?
Answer: Factors of 8493 are 1, 3, 19, 57, 149, 447, 2831, 8493. There are 8 integers that are factors of 8493. The greatest factor of 8493 is 8493.
4. How to Find the LCM of 8486 and 8493?
Answer:
Least Common Multiple of 8486 and 8493 = 72071598
Step 1: Find the prime factorization of 8486
8486 = 2 x 4243
Step 2: Find the prime factorization of 8493
8493 = 3 x 19 x 149
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 72071598 = 2 x 3 x 19 x 149 x 4243
Step 4: Therefore, the least common multiple of 8486 and 8493 is 72071598.