Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 144392 and 144396 the smallest integer that is 5212406808 that is divisible by both numbers.
Least Common Multiple (LCM) of 144392 and 144396 is 5212406808.
LCM(144392,144396) = 5212406808
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 144392 and 144396. First we will calculate the prime factors of 144392 and 144396.
Prime Factorization of 144392
2 | 144392 |
2 | 72196 |
2 | 36098 |
18049 | 18049 |
1 |
Prime factors of 144392 are 2,18049. Prime factorization of 144392 in exponential form is:
144392 = 23×180491
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 144392 and 144396.
LCM(144392,144396) = 23×33×71×1911×180491
LCM(144392,144396) = 5212406808
Factors of 144392
List of positive integer factors of 144392 that divides 144392 without a remainder.
1, 2, 4, 8, 18049, 36098, 72196, 144392
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 144392 and 144396, than apply into the LCM equation.
GCF(144392,144396) = 4
LCM(144392,144396) = ( 144392 × 144396) / 4
LCM(144392,144396) = 20849627232 / 4
LCM(144392,144396) = 5212406808
(i) The LCM of 144396 and 144392 is associative
LCM of 144392 and 144396 = LCM of 144396 and 144392
1. What is the LCM of 144392 and 144396?
Answer: LCM of 144392 and 144396 is 5212406808.
2. What are the Factors of 144392?
Answer: Factors of 144392 are 1, 2, 4, 8, 18049, 36098, 72196, 144392. There are 8 integers that are factors of 144392. The greatest factor of 144392 is 144392.
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 144392 and 144396?
Answer:
Least Common Multiple of 144392 and 144396 = 5212406808
Step 1: Find the prime factorization of 144392
144392 = 2 x 2 x 2 x 18049
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 = 5212406808 = 2 x 2 x 2 x 3 x 3 x 3 x 7 x 191 x 18049
Step 4: Therefore, the least common multiple of 144392 and 144396 is 5212406808.