Least Common Multiple of 144346 and 144350

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

LCM of 144346 and 144350

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 144346 and 144350

LCM of 144346 and 144350 is 10418172550

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

Least Common Multiple of 144346 and 144350 with GCF Formula

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

Properties of LCM 144346 and 144350

(i) The LCM of 144350 and 144346 is associative

LCM of 144346 and 144350 = LCM of 144350 and 144346

Frequently Asked Questions on LCM of 144346 and 144350

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.