Least Common Multiple of 33237 and 33245
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 33237 and 33245 the smallest integer that is 1104964065 that is divisible by both numbers.
Least Common Multiple (LCM) of 33237 and 33245 is 1104964065.
LCM(33237,33245) = 1104964065
LCM of 33237 and 33245
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 33237 and 33245 by Prime method
- Least Common Multiple of 33237 and 33245 with GCF Formula
LCM of 33237 and 33245 is 1104964065
Least common multiple can be found by multiplying the highest exponent prime factors of 33237 and 33245. First we will calculate the prime factors of 33237 and 33245.
Prime Factorization of 33237
| 3 | 33237 |
| 3 | 11079 |
| 3 | 3693 |
| 1231 | 1231 |
| 1 |
Prime factors of 33237 are 3,1231. Prime factorization of 33237 in exponential form is:
33237 = 33×12311
Prime Factorization of 33245
| 5 | 33245 |
| 61 | 6649 |
| 109 | 109 |
| 1 |
Prime factors of 33245 are 5, 61,109. Prime factorization of 33245 in exponential form is:
33245 = 51×611×1091
Now multiplying the highest exponent prime factors to calculate the LCM of 33237 and 33245.
LCM(33237,33245) = 33×51×611×1091×12311
LCM(33237,33245) = 1104964065
Factors of 33237
List of positive integer factors of 33237 that divides 33237 without a remainder.
1, 3, 9, 27, 1231, 3693, 11079, 33237
Factors of 33245
List of positive integer factors of 33245 that divides 33245 without a remainder.
1, 5, 61, 109, 305, 545, 6649, 33245
Least Common Multiple of 33237 and 33245 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33237 and 33245, than apply into the LCM equation.
GCF(33237,33245) = 1
LCM(33237,33245) = ( 33237 × 33245) / 1
LCM(33237,33245) = 1104964065 / 1
LCM(33237,33245) = 1104964065
Properties of LCM 33237 and 33245
(i) The LCM of 33245 and 33237 is associative
LCM of 33237 and 33245 = LCM of 33245 and 33237
Related Least Common Multiples of 33237
Related Least Common Multiples of 33245
Frequently Asked Questions on LCM of 33237 and 33245
1. What is the LCM of 33237 and 33245?
Answer: LCM of 33237 and 33245 is 1104964065.
2. What are the Factors of 33237?
Answer: Factors of 33237 are 1, 3, 9, 27, 1231, 3693, 11079, 33237. There are 8 integers that are factors of 33237. The greatest factor of 33237 is 33237.
3. What are the Factors of 33245?
Answer: Factors of 33245 are 1, 5, 61, 109, 305, 545, 6649, 33245. There are 8 integers that are factors of 33245. The greatest factor of 33245 is 33245.
4. How to Find the LCM of 33237 and 33245?
Answer:
Least Common Multiple of 33237 and 33245 = 1104964065
Step 1: Find the prime factorization of 33237
33237 = 3 x 3 x 3 x 1231
Step 2: Find the prime factorization of 33245
33245 = 5 x 61 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 = 1104964065 = 3 x 3 x 3 x 5 x 61 x 109 x 1231
Step 4: Therefore, the least common multiple of 33237 and 33245 is 1104964065.