Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8842 and 8846 the smallest integer that is 39108166 that is divisible by both numbers.
Least Common Multiple (LCM) of 8842 and 8846 is 39108166.
LCM(8842,8846) = 39108166
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 8842 and 8846. First we will calculate the prime factors of 8842 and 8846.
Prime Factorization of 8842
2 | 8842 |
4421 | 4421 |
1 |
Prime factors of 8842 are 2,4421. Prime factorization of 8842 in exponential form is:
8842 = 21×44211
Prime Factorization of 8846
2 | 8846 |
4423 | 4423 |
1 |
Prime factors of 8846 are 2,4423. Prime factorization of 8846 in exponential form is:
8846 = 21×44231
Now multiplying the highest exponent prime factors to calculate the LCM of 8842 and 8846.
LCM(8842,8846) = 21×44211×44231
LCM(8842,8846) = 39108166
Factors of 8842
List of positive integer factors of 8842 that divides 8842 without a remainder.
1, 2, 4421, 8842
Factors of 8846
List of positive integer factors of 8846 that divides 8846 without a remainder.
1, 2, 4423, 8846
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8842 and 8846, than apply into the LCM equation.
GCF(8842,8846) = 2
LCM(8842,8846) = ( 8842 × 8846) / 2
LCM(8842,8846) = 78216332 / 2
LCM(8842,8846) = 39108166
(i) The LCM of 8846 and 8842 is associative
LCM of 8842 and 8846 = LCM of 8846 and 8842
1. What is the LCM of 8842 and 8846?
Answer: LCM of 8842 and 8846 is 39108166.
2. What are the Factors of 8842?
Answer: Factors of 8842 are 1, 2, 4421, 8842. There are 4 integers that are factors of 8842. The greatest factor of 8842 is 8842.
3. What are the Factors of 8846?
Answer: Factors of 8846 are 1, 2, 4423, 8846. There are 4 integers that are factors of 8846. The greatest factor of 8846 is 8846.
4. How to Find the LCM of 8842 and 8846?
Answer:
Least Common Multiple of 8842 and 8846 = 39108166
Step 1: Find the prime factorization of 8842
8842 = 2 x 4421
Step 2: Find the prime factorization of 8846
8846 = 2 x 4423
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 39108166 = 2 x 4421 x 4423
Step 4: Therefore, the least common multiple of 8842 and 8846 is 39108166.