Least Common Multiple of 144372 and 144379

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

• Least Common Multiple of 144372 and 144379 by Prime method
• Least Common Multiple of 144372 and 144379 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 144372 and 144379. First we will calculate the prime factors of 144372 and 144379.

Prime Factorization of 144372

Prime factors of 144372 are 2, 3, 53,227. Prime factorization of 144372 in exponential form is:

144372 = 2²×3¹×53¹×227¹

Prime Factorization of 144379

Prime factors of 144379 are 144379. Prime factorization of 144379 in exponential form is:

144379 = 144379¹

Now multiplying the highest exponent prime factors to calculate the LCM of 144372 and 144379.

LCM(144372,144379) = 2²×3¹×53¹×227¹×144379¹
LCM(144372,144379) = 20844284988

Factors of 144372

List of positive integer factors of 144372 that divides 144372 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 227, 318, 454, 636, 681, 908, 1362, 2724, 12031, 24062, 36093, 48124, 72186, 144372

Factors of 144379

List of positive integer factors of 144379 that divides 144379 without a remainder.

1, 144379

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 144372 and 144379, than apply into the LCM equation.

GCF(144372,144379) = 1
LCM(144372,144379) = ( 144372 × 144379) / 1
LCM(144372,144379) = 20844284988 / 1
LCM(144372,144379) = 20844284988

(i) The LCM of 144379 and 144372 is associative

LCM of 144372 and 144379 = LCM of 144379 and 144372

1. What is the LCM of 144372 and 144379?

Answer: LCM of 144372 and 144379 is 20844284988.

2. What are the Factors of 144372?

Answer: Factors of 144372 are 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 227, 318, 454, 636, 681, 908, 1362, 2724, 12031, 24062, 36093, 48124, 72186, 144372. There are 24 integers that are factors of 144372. The greatest factor of 144372 is 144372.

3. What are the Factors of 144379?

Answer: Factors of 144379 are 1, 144379. There are 2 integers that are factors of 144379. The greatest factor of 144379 is 144379.

4. How to Find the LCM of 144372 and 144379?

Answer:

Least Common Multiple of 144372 and 144379 = 20844284988

Step 1: Find the prime factorization of 144372

144372 = 2 x 2 x 3 x 53 x 227

Step 2: Find the prime factorization of 144379

144379 = 144379

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

LCM = 20844284988 = 2 x 2 x 3 x 53 x 227 x 144379

Step 4: Therefore, the least common multiple of 144372 and 144379 is 20844284988.