Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 33837 and 33845 the smallest integer that is 1145213265 that is divisible by both numbers.
Least Common Multiple (LCM) of 33837 and 33845 is 1145213265.
LCM(33837,33845) = 1145213265
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 33837 and 33845. First we will calculate the prime factors of 33837 and 33845.
Prime Factorization of 33837
3 | 33837 |
11279 | 11279 |
1 |
Prime factors of 33837 are 3,11279. Prime factorization of 33837 in exponential form is:
33837 = 31×112791
Prime Factorization of 33845
5 | 33845 |
7 | 6769 |
967 | 967 |
1 |
Prime factors of 33845 are 5, 7,967. Prime factorization of 33845 in exponential form is:
33845 = 51×71×9671
Now multiplying the highest exponent prime factors to calculate the LCM of 33837 and 33845.
LCM(33837,33845) = 31×51×71×9671×112791
LCM(33837,33845) = 1145213265
Factors of 33837
List of positive integer factors of 33837 that divides 33837 without a remainder.
1, 3, 11279, 33837
Factors of 33845
List of positive integer factors of 33845 that divides 33845 without a remainder.
1, 5, 7, 35, 967, 4835, 6769, 33845
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33837 and 33845, than apply into the LCM equation.
GCF(33837,33845) = 1
LCM(33837,33845) = ( 33837 × 33845) / 1
LCM(33837,33845) = 1145213265 / 1
LCM(33837,33845) = 1145213265
(i) The LCM of 33845 and 33837 is associative
LCM of 33837 and 33845 = LCM of 33845 and 33837
1. What is the LCM of 33837 and 33845?
Answer: LCM of 33837 and 33845 is 1145213265.
2. What are the Factors of 33837?
Answer: Factors of 33837 are 1, 3, 11279, 33837. There are 4 integers that are factors of 33837. The greatest factor of 33837 is 33837.
3. What are the Factors of 33845?
Answer: Factors of 33845 are 1, 5, 7, 35, 967, 4835, 6769, 33845. There are 8 integers that are factors of 33845. The greatest factor of 33845 is 33845.
4. How to Find the LCM of 33837 and 33845?
Answer:
Least Common Multiple of 33837 and 33845 = 1145213265
Step 1: Find the prime factorization of 33837
33837 = 3 x 11279
Step 2: Find the prime factorization of 33845
33845 = 5 x 7 x 967
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1145213265 = 3 x 5 x 7 x 967 x 11279
Step 4: Therefore, the least common multiple of 33837 and 33845 is 1145213265.