Least Common Multiple of 39249 and 39253
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 39249 and 39253 the smallest integer that is 1540640997 that is divisible by both numbers.
Least Common Multiple (LCM) of 39249 and 39253 is 1540640997.
LCM(39249,39253) = 1540640997
LCM of 39249 and 39253
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 39249 and 39253 by Prime method
- Least Common Multiple of 39249 and 39253 with GCF Formula
LCM of 39249 and 39253 is 1540640997
Least common multiple can be found by multiplying the highest exponent prime factors of 39249 and 39253. First we will calculate the prime factors of 39249 and 39253.
Prime Factorization of 39249
| 3 | 39249 |
| 3 | 13083 |
| 7 | 4361 |
| 7 | 623 |
| 89 | 89 |
| 1 |
Prime factors of 39249 are 3, 7,89. Prime factorization of 39249 in exponential form is:
39249 = 32×72×891
Prime Factorization of 39253
| 17 | 39253 |
| 2309 | 2309 |
| 1 |
Prime factors of 39253 are 17,2309. Prime factorization of 39253 in exponential form is:
39253 = 171×23091
Now multiplying the highest exponent prime factors to calculate the LCM of 39249 and 39253.
LCM(39249,39253) = 32×72×171×891×23091
LCM(39249,39253) = 1540640997
Factors of 39249
List of positive integer factors of 39249 that divides 39249 without a remainder.
1, 3, 7, 9, 21, 49, 63, 89, 147, 267, 441, 623, 801, 1869, 4361, 5607, 13083, 39249
Factors of 39253
List of positive integer factors of 39253 that divides 39253 without a remainder.
1, 17, 2309, 39253
Least Common Multiple of 39249 and 39253 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39249 and 39253, than apply into the LCM equation.
GCF(39249,39253) = 1
LCM(39249,39253) = ( 39249 × 39253) / 1
LCM(39249,39253) = 1540640997 / 1
LCM(39249,39253) = 1540640997
Properties of LCM 39249 and 39253
(i) The LCM of 39253 and 39249 is associative
LCM of 39249 and 39253 = LCM of 39253 and 39249
Related Least Common Multiples of 39249
Related Least Common Multiples of 39253
Frequently Asked Questions on LCM of 39249 and 39253
1. What is the LCM of 39249 and 39253?
Answer: LCM of 39249 and 39253 is 1540640997.
2. What are the Factors of 39249?
Answer: Factors of 39249 are 1, 3, 7, 9, 21, 49, 63, 89, 147, 267, 441, 623, 801, 1869, 4361, 5607, 13083, 39249. There are 18 integers that are factors of 39249. The greatest factor of 39249 is 39249.
3. What are the Factors of 39253?
Answer: Factors of 39253 are 1, 17, 2309, 39253. There are 4 integers that are factors of 39253. The greatest factor of 39253 is 39253.
4. How to Find the LCM of 39249 and 39253?
Answer:
Least Common Multiple of 39249 and 39253 = 1540640997
Step 1: Find the prime factorization of 39249
39249 = 3 x 3 x 7 x 7 x 89
Step 2: Find the prime factorization of 39253
39253 = 17 x 2309
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1540640997 = 3 x 3 x 7 x 7 x 17 x 89 x 2309
Step 4: Therefore, the least common multiple of 39249 and 39253 is 1540640997.