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 8492 the smallest integer that is 36031556 that is divisible by both numbers.
Least Common Multiple (LCM) of 8486 and 8492 is 36031556.
LCM(8486,8492) = 36031556
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 8492. First we will calculate the prime factors of 8486 and 8492.
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 8492
2 | 8492 |
2 | 4246 |
11 | 2123 |
193 | 193 |
1 |
Prime factors of 8492 are 2, 11,193. Prime factorization of 8492 in exponential form is:
8492 = 22×111×1931
Now multiplying the highest exponent prime factors to calculate the LCM of 8486 and 8492.
LCM(8486,8492) = 22×111×1931×42431
LCM(8486,8492) = 36031556
Factors of 8486
List of positive integer factors of 8486 that divides 8486 without a remainder.
1, 2, 4243, 8486
Factors of 8492
List of positive integer factors of 8492 that divides 8492 without a remainder.
1, 2, 4, 11, 22, 44, 193, 386, 772, 2123, 4246, 8492
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8486 and 8492, than apply into the LCM equation.
GCF(8486,8492) = 2
LCM(8486,8492) = ( 8486 × 8492) / 2
LCM(8486,8492) = 72063112 / 2
LCM(8486,8492) = 36031556
(i) The LCM of 8492 and 8486 is associative
LCM of 8486 and 8492 = LCM of 8492 and 8486
1. What is the LCM of 8486 and 8492?
Answer: LCM of 8486 and 8492 is 36031556.
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 8492?
Answer: Factors of 8492 are 1, 2, 4, 11, 22, 44, 193, 386, 772, 2123, 4246, 8492. There are 12 integers that are factors of 8492. The greatest factor of 8492 is 8492.
4. How to Find the LCM of 8486 and 8492?
Answer:
Least Common Multiple of 8486 and 8492 = 36031556
Step 1: Find the prime factorization of 8486
8486 = 2 x 4243
Step 2: Find the prime factorization of 8492
8492 = 2 x 2 x 11 x 193
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 36031556 = 2 x 2 x 11 x 193 x 4243
Step 4: Therefore, the least common multiple of 8486 and 8492 is 36031556.