Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8933 and 8938 the smallest integer that is 79843154 that is divisible by both numbers.
Least Common Multiple (LCM) of 8933 and 8938 is 79843154.
LCM(8933,8938) = 79843154
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 8933 and 8938. First we will calculate the prime factors of 8933 and 8938.
Prime Factorization of 8933
8933 | 8933 |
1 |
Prime factors of 8933 are 8933. Prime factorization of 8933 in exponential form is:
8933 = 89331
Prime Factorization of 8938
2 | 8938 |
41 | 4469 |
109 | 109 |
1 |
Prime factors of 8938 are 2, 41,109. Prime factorization of 8938 in exponential form is:
8938 = 21×411×1091
Now multiplying the highest exponent prime factors to calculate the LCM of 8933 and 8938.
LCM(8933,8938) = 21×411×1091×89331
LCM(8933,8938) = 79843154
Factors of 8933
List of positive integer factors of 8933 that divides 8933 without a remainder.
1, 8933
Factors of 8938
List of positive integer factors of 8938 that divides 8938 without a remainder.
1, 2, 41, 82, 109, 218, 4469, 8938
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8933 and 8938, than apply into the LCM equation.
GCF(8933,8938) = 1
LCM(8933,8938) = ( 8933 × 8938) / 1
LCM(8933,8938) = 79843154 / 1
LCM(8933,8938) = 79843154
(i) The LCM of 8938 and 8933 is associative
LCM of 8933 and 8938 = LCM of 8938 and 8933
1. What is the LCM of 8933 and 8938?
Answer: LCM of 8933 and 8938 is 79843154.
2. What are the Factors of 8933?
Answer: Factors of 8933 are 1, 8933. There are 2 integers that are factors of 8933. The greatest factor of 8933 is 8933.
3. What are the Factors of 8938?
Answer: Factors of 8938 are 1, 2, 41, 82, 109, 218, 4469, 8938. There are 8 integers that are factors of 8938. The greatest factor of 8938 is 8938.
4. How to Find the LCM of 8933 and 8938?
Answer:
Least Common Multiple of 8933 and 8938 = 79843154
Step 1: Find the prime factorization of 8933
8933 = 8933
Step 2: Find the prime factorization of 8938
8938 = 2 x 41 x 109
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 79843154 = 2 x 41 x 109 x 8933
Step 4: Therefore, the least common multiple of 8933 and 8938 is 79843154.