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 39239 the smallest integer that is 1539463687 that is divisible by both numbers.
Least Common Multiple (LCM) of 39233 and 39239 is 1539463687.
LCM(39233,39239) = 1539463687
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 39233 and 39239. First we will calculate the prime factors of 39233 and 39239.
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 39239
39239 | 39239 |
1 |
Prime factors of 39239 are 39239. Prime factorization of 39239 in exponential form is:
39239 = 392391
Now multiplying the highest exponent prime factors to calculate the LCM of 39233 and 39239.
LCM(39233,39239) = 392331×392391
LCM(39233,39239) = 1539463687
Factors of 39233
List of positive integer factors of 39233 that divides 39233 without a remainder.
1, 39233
Factors of 39239
List of positive integer factors of 39239 that divides 39239 without a remainder.
1, 39239
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39233 and 39239, than apply into the LCM equation.
GCF(39233,39239) = 1
LCM(39233,39239) = ( 39233 × 39239) / 1
LCM(39233,39239) = 1539463687 / 1
LCM(39233,39239) = 1539463687
(i) The LCM of 39239 and 39233 is associative
LCM of 39233 and 39239 = LCM of 39239 and 39233
1. What is the LCM of 39233 and 39239?
Answer: LCM of 39233 and 39239 is 1539463687.
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 39239?
Answer: Factors of 39239 are 1, 39239. There are 2 integers that are factors of 39239. The greatest factor of 39239 is 39239.
4. How to Find the LCM of 39233 and 39239?
Answer:
Least Common Multiple of 39233 and 39239 = 1539463687
Step 1: Find the prime factorization of 39233
39233 = 39233
Step 2: Find the prime factorization of 39239
39239 = 39239
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1539463687 = 39233 x 39239
Step 4: Therefore, the least common multiple of 39233 and 39239 is 1539463687.