Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 34188 and 34190 the smallest integer that is 584443860 that is divisible by both numbers.
Least Common Multiple (LCM) of 34188 and 34190 is 584443860.
LCM(34188,34190) = 584443860
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 34188 and 34190. First we will calculate the prime factors of 34188 and 34190.
Prime Factorization of 34188
2 | 34188 |
2 | 17094 |
3 | 8547 |
7 | 2849 |
11 | 407 |
37 | 37 |
1 |
Prime factors of 34188 are 2, 3, 7, 11,37. Prime factorization of 34188 in exponential form is:
34188 = 22×31×71×111×371
Prime Factorization of 34190
2 | 34190 |
5 | 17095 |
13 | 3419 |
263 | 263 |
1 |
Prime factors of 34190 are 2, 5, 13,263. Prime factorization of 34190 in exponential form is:
34190 = 21×51×131×2631
Now multiplying the highest exponent prime factors to calculate the LCM of 34188 and 34190.
LCM(34188,34190) = 22×31×51×71×111×131×371×2631
LCM(34188,34190) = 584443860
Factors of 34188
List of positive integer factors of 34188 that divides 34188 without a remainder.
1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 37, 42, 44, 66, 74, 77, 84, 111, 132, 148, 154, 222, 231, 259, 308, 407, 444, 462, 518, 777, 814, 924, 1036, 1221, 1554, 1628, 2442, 2849, 3108, 4884, 5698, 8547, 11396, 17094, 34188
Factors of 34190
List of positive integer factors of 34190 that divides 34190 without a remainder.
1, 2, 5, 10, 13, 26, 65, 130, 263, 526, 1315, 2630, 3419, 6838, 17095, 34190
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34188 and 34190, than apply into the LCM equation.
GCF(34188,34190) = 2
LCM(34188,34190) = ( 34188 × 34190) / 2
LCM(34188,34190) = 1168887720 / 2
LCM(34188,34190) = 584443860
(i) The LCM of 34190 and 34188 is associative
LCM of 34188 and 34190 = LCM of 34190 and 34188
1. What is the LCM of 34188 and 34190?
Answer: LCM of 34188 and 34190 is 584443860.
2. What are the Factors of 34188?
Answer: Factors of 34188 are 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 37, 42, 44, 66, 74, 77, 84, 111, 132, 148, 154, 222, 231, 259, 308, 407, 444, 462, 518, 777, 814, 924, 1036, 1221, 1554, 1628, 2442, 2849, 3108, 4884, 5698, 8547, 11396, 17094, 34188. There are 48 integers that are factors of 34188. The greatest factor of 34188 is 34188.
3. What are the Factors of 34190?
Answer: Factors of 34190 are 1, 2, 5, 10, 13, 26, 65, 130, 263, 526, 1315, 2630, 3419, 6838, 17095, 34190. There are 16 integers that are factors of 34190. The greatest factor of 34190 is 34190.
4. How to Find the LCM of 34188 and 34190?
Answer:
Least Common Multiple of 34188 and 34190 = 584443860
Step 1: Find the prime factorization of 34188
34188 = 2 x 2 x 3 x 7 x 11 x 37
Step 2: Find the prime factorization of 34190
34190 = 2 x 5 x 13 x 263
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 584443860 = 2 x 2 x 3 x 5 x 7 x 11 x 13 x 37 x 263
Step 4: Therefore, the least common multiple of 34188 and 34190 is 584443860.