Least Common Multiple of 144387 and 144391

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

• Least Common Multiple of 144387 and 144391 by Prime method
• Least Common Multiple of 144387 and 144391 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 144387 and 144391. First we will calculate the prime factors of 144387 and 144391.

Prime Factorization of 144387

Prime factors of 144387 are 3, 61,263. Prime factorization of 144387 in exponential form is:

144387 = 3²×61¹×263¹

Prime Factorization of 144391

Prime factors of 144391 are 13, 29,383. Prime factorization of 144391 in exponential form is:

144391 = 13¹×29¹×383¹

Now multiplying the highest exponent prime factors to calculate the LCM of 144387 and 144391.

LCM(144387,144391) = 3²×13¹×29¹×61¹×263¹×383¹
LCM(144387,144391) = 20848183317

Factors of 144387

List of positive integer factors of 144387 that divides 144387 without a remainder.

1, 3, 9, 61, 183, 263, 549, 789, 2367, 16043, 48129, 144387

Factors of 144391

List of positive integer factors of 144391 that divides 144391 without a remainder.

1, 13, 29, 377, 383, 4979, 11107, 144391

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 144387 and 144391, than apply into the LCM equation.

GCF(144387,144391) = 1
LCM(144387,144391) = ( 144387 × 144391) / 1
LCM(144387,144391) = 20848183317 / 1
LCM(144387,144391) = 20848183317

(i) The LCM of 144391 and 144387 is associative

LCM of 144387 and 144391 = LCM of 144391 and 144387

1. What is the LCM of 144387 and 144391?

Answer: LCM of 144387 and 144391 is 20848183317.

2. What are the Factors of 144387?

Answer: Factors of 144387 are 1, 3, 9, 61, 183, 263, 549, 789, 2367, 16043, 48129, 144387. There are 12 integers that are factors of 144387. The greatest factor of 144387 is 144387.

3. What are the Factors of 144391?

Answer: Factors of 144391 are 1, 13, 29, 377, 383, 4979, 11107, 144391. There are 8 integers that are factors of 144391. The greatest factor of 144391 is 144391.

4. How to Find the LCM of 144387 and 144391?

Answer:

Least Common Multiple of 144387 and 144391 = 20848183317

Step 1: Find the prime factorization of 144387

144387 = 3 x 3 x 61 x 263

Step 2: Find the prime factorization of 144391

144391 = 13 x 29 x 383

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

LCM = 20848183317 = 3 x 3 x 13 x 29 x 61 x 263 x 383

Step 4: Therefore, the least common multiple of 144387 and 144391 is 20848183317.