Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5933 and 5937 the smallest integer that is 35224221 that is divisible by both numbers.
Least Common Multiple (LCM) of 5933 and 5937 is 35224221.
LCM(5933,5937) = 35224221
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 5933 and 5937. First we will calculate the prime factors of 5933 and 5937.
Prime Factorization of 5933
17 | 5933 |
349 | 349 |
1 |
Prime factors of 5933 are 17,349. Prime factorization of 5933 in exponential form is:
5933 = 171×3491
Prime Factorization of 5937
3 | 5937 |
1979 | 1979 |
1 |
Prime factors of 5937 are 3,1979. Prime factorization of 5937 in exponential form is:
5937 = 31×19791
Now multiplying the highest exponent prime factors to calculate the LCM of 5933 and 5937.
LCM(5933,5937) = 31×171×3491×19791
LCM(5933,5937) = 35224221
Factors of 5933
List of positive integer factors of 5933 that divides 5933 without a remainder.
1, 17, 349, 5933
Factors of 5937
List of positive integer factors of 5937 that divides 5937 without a remainder.
1, 3, 1979, 5937
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5933 and 5937, than apply into the LCM equation.
GCF(5933,5937) = 1
LCM(5933,5937) = ( 5933 × 5937) / 1
LCM(5933,5937) = 35224221 / 1
LCM(5933,5937) = 35224221
(i) The LCM of 5937 and 5933 is associative
LCM of 5933 and 5937 = LCM of 5937 and 5933
1. What is the LCM of 5933 and 5937?
Answer: LCM of 5933 and 5937 is 35224221.
2. What are the Factors of 5933?
Answer: Factors of 5933 are 1, 17, 349, 5933. There are 4 integers that are factors of 5933. The greatest factor of 5933 is 5933.
3. What are the Factors of 5937?
Answer: Factors of 5937 are 1, 3, 1979, 5937. There are 4 integers that are factors of 5937. The greatest factor of 5937 is 5937.
4. How to Find the LCM of 5933 and 5937?
Answer:
Least Common Multiple of 5933 and 5937 = 35224221
Step 1: Find the prime factorization of 5933
5933 = 17 x 349
Step 2: Find the prime factorization of 5937
5937 = 3 x 1979
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 35224221 = 3 x 17 x 349 x 1979
Step 4: Therefore, the least common multiple of 5933 and 5937 is 35224221.