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 8494 the smallest integer that is 36040042 that is divisible by both numbers.
Least Common Multiple (LCM) of 8486 and 8494 is 36040042.
LCM(8486,8494) = 36040042
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 8494. First we will calculate the prime factors of 8486 and 8494.
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 8494
2 | 8494 |
31 | 4247 |
137 | 137 |
1 |
Prime factors of 8494 are 2, 31,137. Prime factorization of 8494 in exponential form is:
8494 = 21×311×1371
Now multiplying the highest exponent prime factors to calculate the LCM of 8486 and 8494.
LCM(8486,8494) = 21×311×1371×42431
LCM(8486,8494) = 36040042
Factors of 8486
List of positive integer factors of 8486 that divides 8486 without a remainder.
1, 2, 4243, 8486
Factors of 8494
List of positive integer factors of 8494 that divides 8494 without a remainder.
1, 2, 31, 62, 137, 274, 4247, 8494
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8486 and 8494, than apply into the LCM equation.
GCF(8486,8494) = 2
LCM(8486,8494) = ( 8486 × 8494) / 2
LCM(8486,8494) = 72080084 / 2
LCM(8486,8494) = 36040042
(i) The LCM of 8494 and 8486 is associative
LCM of 8486 and 8494 = LCM of 8494 and 8486
1. What is the LCM of 8486 and 8494?
Answer: LCM of 8486 and 8494 is 36040042.
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 8494?
Answer: Factors of 8494 are 1, 2, 31, 62, 137, 274, 4247, 8494. There are 8 integers that are factors of 8494. The greatest factor of 8494 is 8494.
4. How to Find the LCM of 8486 and 8494?
Answer:
Least Common Multiple of 8486 and 8494 = 36040042
Step 1: Find the prime factorization of 8486
8486 = 2 x 4243
Step 2: Find the prime factorization of 8494
8494 = 2 x 31 x 137
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 36040042 = 2 x 31 x 137 x 4243
Step 4: Therefore, the least common multiple of 8486 and 8494 is 36040042.