Least Common Multiple of 39233 and 39237
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 39233 and 39237 the smallest integer that is 1539385221 that is divisible by both numbers.
Least Common Multiple (LCM) of 39233 and 39237 is 1539385221.
LCM(39233,39237) = 1539385221
LCM of 39233 and 39237
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 39233 and 39237 by Prime method
- Least Common Multiple of 39233 and 39237 with GCF Formula
LCM of 39233 and 39237 is 1539385221
Least common multiple can be found by multiplying the highest exponent prime factors of 39233 and 39237. First we will calculate the prime factors of 39233 and 39237.
Prime Factorization of 39233
| 39233 | 39233 |
| 1 |
Prime factors of 39233 are 39233. Prime factorization of 39233 in exponential form is:
39233 = 392331
Prime Factorization of 39237
| 3 | 39237 |
| 11 | 13079 |
| 29 | 1189 |
| 41 | 41 |
| 1 |
Prime factors of 39237 are 3, 11, 29,41. Prime factorization of 39237 in exponential form is:
39237 = 31×111×291×411
Now multiplying the highest exponent prime factors to calculate the LCM of 39233 and 39237.
LCM(39233,39237) = 31×111×291×411×392331
LCM(39233,39237) = 1539385221
Factors of 39233
List of positive integer factors of 39233 that divides 39233 without a remainder.
1, 39233
Factors of 39237
List of positive integer factors of 39237 that divides 39237 without a remainder.
1, 3, 11, 29, 33, 41, 87, 123, 319, 451, 957, 1189, 1353, 3567, 13079, 39237
Least Common Multiple of 39233 and 39237 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39233 and 39237, than apply into the LCM equation.
GCF(39233,39237) = 1
LCM(39233,39237) = ( 39233 × 39237) / 1
LCM(39233,39237) = 1539385221 / 1
LCM(39233,39237) = 1539385221
Properties of LCM 39233 and 39237
(i) The LCM of 39237 and 39233 is associative
LCM of 39233 and 39237 = LCM of 39237 and 39233
Related Least Common Multiples of 39233
Related Least Common Multiples of 39237
Frequently Asked Questions on LCM of 39233 and 39237
1. What is the LCM of 39233 and 39237?
Answer: LCM of 39233 and 39237 is 1539385221.
2. What are the Factors of 39233?
Answer: Factors of 39233 are 1, 39233. There are 2 integers that are factors of 39233. The greatest factor of 39233 is 39233.
3. What are the Factors of 39237?
Answer: Factors of 39237 are 1, 3, 11, 29, 33, 41, 87, 123, 319, 451, 957, 1189, 1353, 3567, 13079, 39237. There are 16 integers that are factors of 39237. The greatest factor of 39237 is 39237.
4. How to Find the LCM of 39233 and 39237?
Answer:
Least Common Multiple of 39233 and 39237 = 1539385221
Step 1: Find the prime factorization of 39233
39233 = 39233
Step 2: Find the prime factorization of 39237
39237 = 3 x 11 x 29 x 41
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1539385221 = 3 x 11 x 29 x 41 x 39233
Step 4: Therefore, the least common multiple of 39233 and 39237 is 1539385221.