Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3234 and 3239 the smallest integer that is 10474926 that is divisible by both numbers.
Least Common Multiple (LCM) of 3234 and 3239 is 10474926.
LCM(3234,3239) = 10474926
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 3234 and 3239. First we will calculate the prime factors of 3234 and 3239.
Prime Factorization of 3234
2 | 3234 |
3 | 1617 |
7 | 539 |
7 | 77 |
11 | 11 |
1 |
Prime factors of 3234 are 2, 3, 7,11. Prime factorization of 3234 in exponential form is:
3234 = 21×31×72×111
Prime Factorization of 3239
41 | 3239 |
79 | 79 |
1 |
Prime factors of 3239 are 41,79. Prime factorization of 3239 in exponential form is:
3239 = 411×791
Now multiplying the highest exponent prime factors to calculate the LCM of 3234 and 3239.
LCM(3234,3239) = 21×31×72×111×411×791
LCM(3234,3239) = 10474926
Factors of 3234
List of positive integer factors of 3234 that divides 3234 without a remainder.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 49, 66, 77, 98, 147, 154, 231, 294, 462, 539, 1078, 1617, 3234
Factors of 3239
List of positive integer factors of 3239 that divides 3239 without a remainder.
1, 41, 79, 3239
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3234 and 3239, than apply into the LCM equation.
GCF(3234,3239) = 1
LCM(3234,3239) = ( 3234 × 3239) / 1
LCM(3234,3239) = 10474926 / 1
LCM(3234,3239) = 10474926
(i) The LCM of 3239 and 3234 is associative
LCM of 3234 and 3239 = LCM of 3239 and 3234
1. What is the LCM of 3234 and 3239?
Answer: LCM of 3234 and 3239 is 10474926.
2. What are the Factors of 3234?
Answer: Factors of 3234 are 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 49, 66, 77, 98, 147, 154, 231, 294, 462, 539, 1078, 1617, 3234. There are 24 integers that are factors of 3234. The greatest factor of 3234 is 3234.
3. What are the Factors of 3239?
Answer: Factors of 3239 are 1, 41, 79, 3239. There are 4 integers that are factors of 3239. The greatest factor of 3239 is 3239.
4. How to Find the LCM of 3234 and 3239?
Answer:
Least Common Multiple of 3234 and 3239 = 10474926
Step 1: Find the prime factorization of 3234
3234 = 2 x 3 x 7 x 7 x 11
Step 2: Find the prime factorization of 3239
3239 = 41 x 79
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 10474926 = 2 x 3 x 7 x 7 x 11 x 41 x 79
Step 4: Therefore, the least common multiple of 3234 and 3239 is 10474926.