Least Common Multiple of 144347 and 144355

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

• Least Common Multiple of 144347 and 144355 by Prime method
• Least Common Multiple of 144347 and 144355 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 144347 and 144355. First we will calculate the prime factors of 144347 and 144355.

Prime Factorization of 144347

Prime factors of 144347 are 7, 17,1213. Prime factorization of 144347 in exponential form is:

144347 = 7¹×17¹×1213¹

Prime Factorization of 144355

Prime factors of 144355 are 5,28871. Prime factorization of 144355 in exponential form is:

144355 = 5¹×28871¹

Now multiplying the highest exponent prime factors to calculate the LCM of 144347 and 144355.

LCM(144347,144355) = 5¹×7¹×17¹×1213¹×28871¹
LCM(144347,144355) = 20837211185

Factors of 144347

List of positive integer factors of 144347 that divides 144347 without a remainder.

1, 7, 17, 119, 1213, 8491, 20621, 144347

Factors of 144355

List of positive integer factors of 144355 that divides 144355 without a remainder.

1, 5, 28871, 144355

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 144347 and 144355, than apply into the LCM equation.

GCF(144347,144355) = 1
LCM(144347,144355) = ( 144347 × 144355) / 1
LCM(144347,144355) = 20837211185 / 1
LCM(144347,144355) = 20837211185

(i) The LCM of 144355 and 144347 is associative

LCM of 144347 and 144355 = LCM of 144355 and 144347

1. What is the LCM of 144347 and 144355?

Answer: LCM of 144347 and 144355 is 20837211185.

2. What are the Factors of 144347?

Answer: Factors of 144347 are 1, 7, 17, 119, 1213, 8491, 20621, 144347. There are 8 integers that are factors of 144347. The greatest factor of 144347 is 144347.

3. What are the Factors of 144355?

Answer: Factors of 144355 are 1, 5, 28871, 144355. There are 4 integers that are factors of 144355. The greatest factor of 144355 is 144355.

4. How to Find the LCM of 144347 and 144355?

Answer:

Least Common Multiple of 144347 and 144355 = 20837211185

Step 1: Find the prime factorization of 144347

144347 = 7 x 17 x 1213

Step 2: Find the prime factorization of 144355

144355 = 5 x 28871

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 20837211185 = 5 x 7 x 17 x 1213 x 28871

Step 4: Therefore, the least common multiple of 144347 and 144355 is 20837211185.