Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 39243 and 39247 the smallest integer that is 1540170021 that is divisible by both numbers.
Least Common Multiple (LCM) of 39243 and 39247 is 1540170021.
LCM(39243,39247) = 1540170021
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 39243 and 39247. First we will calculate the prime factors of 39243 and 39247.
Prime Factorization of 39243
3 | 39243 |
103 | 13081 |
127 | 127 |
1 |
Prime factors of 39243 are 3, 103,127. Prime factorization of 39243 in exponential form is:
39243 = 31×1031×1271
Prime Factorization of 39247
13 | 39247 |
3019 | 3019 |
1 |
Prime factors of 39247 are 13,3019. Prime factorization of 39247 in exponential form is:
39247 = 131×30191
Now multiplying the highest exponent prime factors to calculate the LCM of 39243 and 39247.
LCM(39243,39247) = 31×131×1031×1271×30191
LCM(39243,39247) = 1540170021
Factors of 39243
List of positive integer factors of 39243 that divides 39243 without a remainder.
1, 3, 103, 127, 309, 381, 13081, 39243
Factors of 39247
List of positive integer factors of 39247 that divides 39247 without a remainder.
1, 13, 3019, 39247
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39243 and 39247, than apply into the LCM equation.
GCF(39243,39247) = 1
LCM(39243,39247) = ( 39243 × 39247) / 1
LCM(39243,39247) = 1540170021 / 1
LCM(39243,39247) = 1540170021
(i) The LCM of 39247 and 39243 is associative
LCM of 39243 and 39247 = LCM of 39247 and 39243
1. What is the LCM of 39243 and 39247?
Answer: LCM of 39243 and 39247 is 1540170021.
2. What are the Factors of 39243?
Answer: Factors of 39243 are 1, 3, 103, 127, 309, 381, 13081, 39243. There are 8 integers that are factors of 39243. The greatest factor of 39243 is 39243.
3. What are the Factors of 39247?
Answer: Factors of 39247 are 1, 13, 3019, 39247. There are 4 integers that are factors of 39247. The greatest factor of 39247 is 39247.
4. How to Find the LCM of 39243 and 39247?
Answer:
Least Common Multiple of 39243 and 39247 = 1540170021
Step 1: Find the prime factorization of 39243
39243 = 3 x 103 x 127
Step 2: Find the prime factorization of 39247
39247 = 13 x 3019
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1540170021 = 3 x 13 x 103 x 127 x 3019
Step 4: Therefore, the least common multiple of 39243 and 39247 is 1540170021.