Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 144393 and 144401 the smallest integer that is 20850493593 that is divisible by both numbers.
Least Common Multiple (LCM) of 144393 and 144401 is 20850493593.
LCM(144393,144401) = 20850493593
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 144393 and 144401. First we will calculate the prime factors of 144393 and 144401.
Prime Factorization of 144393
3 | 144393 |
48131 | 48131 |
1 |
Prime factors of 144393 are 3,48131. Prime factorization of 144393 in exponential form is:
144393 = 31×481311
Prime Factorization of 144401
197 | 144401 |
733 | 733 |
1 |
Prime factors of 144401 are 197,733. Prime factorization of 144401 in exponential form is:
144401 = 1971×7331
Now multiplying the highest exponent prime factors to calculate the LCM of 144393 and 144401.
LCM(144393,144401) = 31×1971×7331×481311
LCM(144393,144401) = 20850493593
Factors of 144393
List of positive integer factors of 144393 that divides 144393 without a remainder.
1, 3, 48131, 144393
Factors of 144401
List of positive integer factors of 144401 that divides 144401 without a remainder.
1, 197, 733, 144401
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 144393 and 144401, than apply into the LCM equation.
GCF(144393,144401) = 1
LCM(144393,144401) = ( 144393 × 144401) / 1
LCM(144393,144401) = 20850493593 / 1
LCM(144393,144401) = 20850493593
(i) The LCM of 144401 and 144393 is associative
LCM of 144393 and 144401 = LCM of 144401 and 144393
1. What is the LCM of 144393 and 144401?
Answer: LCM of 144393 and 144401 is 20850493593.
2. What are the Factors of 144393?
Answer: Factors of 144393 are 1, 3, 48131, 144393. There are 4 integers that are factors of 144393. The greatest factor of 144393 is 144393.
3. What are the Factors of 144401?
Answer: Factors of 144401 are 1, 197, 733, 144401. There are 4 integers that are factors of 144401. The greatest factor of 144401 is 144401.
4. How to Find the LCM of 144393 and 144401?
Answer:
Least Common Multiple of 144393 and 144401 = 20850493593
Step 1: Find the prime factorization of 144393
144393 = 3 x 48131
Step 2: Find the prime factorization of 144401
144401 = 197 x 733
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 20850493593 = 3 x 197 x 733 x 48131
Step 4: Therefore, the least common multiple of 144393 and 144401 is 20850493593.