Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 144389 and 144396 the smallest integer that is 2978456292 that is divisible by both numbers.
Least Common Multiple (LCM) of 144389 and 144396 is 2978456292.
LCM(144389,144396) = 2978456292
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 144389 and 144396. First we will calculate the prime factors of 144389 and 144396.
Prime Factorization of 144389
7 | 144389 |
20627 | 20627 |
1 |
Prime factors of 144389 are 7,20627. Prime factorization of 144389 in exponential form is:
144389 = 71×206271
Prime Factorization of 144396
2 | 144396 |
2 | 72198 |
3 | 36099 |
3 | 12033 |
3 | 4011 |
7 | 1337 |
191 | 191 |
1 |
Prime factors of 144396 are 2, 3, 7,191. Prime factorization of 144396 in exponential form is:
144396 = 22×33×71×1911
Now multiplying the highest exponent prime factors to calculate the LCM of 144389 and 144396.
LCM(144389,144396) = 22×33×71×1911×206271
LCM(144389,144396) = 2978456292
Factors of 144389
List of positive integer factors of 144389 that divides 144389 without a remainder.
1, 7, 20627, 144389
Factors of 144396
List of positive integer factors of 144396 that divides 144396 without a remainder.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 191, 252, 378, 382, 573, 756, 764, 1146, 1337, 1719, 2292, 2674, 3438, 4011, 5157, 5348, 6876, 8022, 10314, 12033, 16044, 20628, 24066, 36099, 48132, 72198, 144396
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 144389 and 144396, than apply into the LCM equation.
GCF(144389,144396) = 7
LCM(144389,144396) = ( 144389 × 144396) / 7
LCM(144389,144396) = 20849194044 / 7
LCM(144389,144396) = 2978456292
(i) The LCM of 144396 and 144389 is associative
LCM of 144389 and 144396 = LCM of 144396 and 144389
1. What is the LCM of 144389 and 144396?
Answer: LCM of 144389 and 144396 is 2978456292.
2. What are the Factors of 144389?
Answer: Factors of 144389 are 1, 7, 20627, 144389. There are 4 integers that are factors of 144389. The greatest factor of 144389 is 144389.
3. What are the Factors of 144396?
Answer: Factors of 144396 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 191, 252, 378, 382, 573, 756, 764, 1146, 1337, 1719, 2292, 2674, 3438, 4011, 5157, 5348, 6876, 8022, 10314, 12033, 16044, 20628, 24066, 36099, 48132, 72198, 144396. There are 48 integers that are factors of 144396. The greatest factor of 144396 is 144396.
4. How to Find the LCM of 144389 and 144396?
Answer:
Least Common Multiple of 144389 and 144396 = 2978456292
Step 1: Find the prime factorization of 144389
144389 = 7 x 20627
Step 2: Find the prime factorization of 144396
144396 = 2 x 2 x 3 x 3 x 3 x 7 x 191
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2978456292 = 2 x 2 x 3 x 3 x 3 x 7 x 191 x 20627
Step 4: Therefore, the least common multiple of 144389 and 144396 is 2978456292.