Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 144346 and 144350 the smallest integer that is 10418172550 that is divisible by both numbers.
Least Common Multiple (LCM) of 144346 and 144350 is 10418172550.
LCM(144346,144350) = 10418172550
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 144346 and 144350. First we will calculate the prime factors of 144346 and 144350.
Prime Factorization of 144346
2 | 144346 |
72173 | 72173 |
1 |
Prime factors of 144346 are 2,72173. Prime factorization of 144346 in exponential form is:
144346 = 21×721731
Prime Factorization of 144350
2 | 144350 |
5 | 72175 |
5 | 14435 |
2887 | 2887 |
1 |
Prime factors of 144350 are 2, 5,2887. Prime factorization of 144350 in exponential form is:
144350 = 21×52×28871
Now multiplying the highest exponent prime factors to calculate the LCM of 144346 and 144350.
LCM(144346,144350) = 21×52×28871×721731
LCM(144346,144350) = 10418172550
Factors of 144346
List of positive integer factors of 144346 that divides 144346 without a remainder.
1, 2, 72173, 144346
Factors of 144350
List of positive integer factors of 144350 that divides 144350 without a remainder.
1, 2, 5, 10, 25, 50, 2887, 5774, 14435, 28870, 72175, 144350
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 144346 and 144350, than apply into the LCM equation.
GCF(144346,144350) = 2
LCM(144346,144350) = ( 144346 × 144350) / 2
LCM(144346,144350) = 20836345100 / 2
LCM(144346,144350) = 10418172550
(i) The LCM of 144350 and 144346 is associative
LCM of 144346 and 144350 = LCM of 144350 and 144346
1. What is the LCM of 144346 and 144350?
Answer: LCM of 144346 and 144350 is 10418172550.
2. What are the Factors of 144346?
Answer: Factors of 144346 are 1, 2, 72173, 144346. There are 4 integers that are factors of 144346. The greatest factor of 144346 is 144346.
3. What are the Factors of 144350?
Answer: Factors of 144350 are 1, 2, 5, 10, 25, 50, 2887, 5774, 14435, 28870, 72175, 144350. There are 12 integers that are factors of 144350. The greatest factor of 144350 is 144350.
4. How to Find the LCM of 144346 and 144350?
Answer:
Least Common Multiple of 144346 and 144350 = 10418172550
Step 1: Find the prime factorization of 144346
144346 = 2 x 72173
Step 2: Find the prime factorization of 144350
144350 = 2 x 5 x 5 x 2887
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 10418172550 = 2 x 5 x 5 x 2887 x 72173
Step 4: Therefore, the least common multiple of 144346 and 144350 is 10418172550.