Least Common Multiple of 144387 and 144393

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

• Least Common Multiple of 144387 and 144393 by Prime method
• Least Common Multiple of 144387 and 144393 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 144387 and 144393. First we will calculate the prime factors of 144387 and 144393.

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 144393

Prime factors of 144393 are 3,48131. Prime factorization of 144393 in exponential form is:

144393 = 3¹×48131¹

Now multiplying the highest exponent prime factors to calculate the LCM of 144387 and 144393.

LCM(144387,144393) = 3²×61¹×263¹×48131¹
LCM(144387,144393) = 6949490697

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 144393

List of positive integer factors of 144393 that divides 144393 without a remainder.

1, 3, 48131, 144393

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 144387 and 144393, than apply into the LCM equation.

GCF(144387,144393) = 3
LCM(144387,144393) = ( 144387 × 144393) / 3
LCM(144387,144393) = 20848472091 / 3
LCM(144387,144393) = 6949490697

(i) The LCM of 144393 and 144387 is associative

LCM of 144387 and 144393 = LCM of 144393 and 144387

1. What is the LCM of 144387 and 144393?

Answer: LCM of 144387 and 144393 is 6949490697.

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 144393?

Answer: Factors of 144393 are 1, 3, 48131, 144393. There are 4 integers that are factors of 144393. The greatest factor of 144393 is 144393.

4. How to Find the LCM of 144387 and 144393?

Answer:

Least Common Multiple of 144387 and 144393 = 6949490697

Step 1: Find the prime factorization of 144387

144387 = 3 x 3 x 61 x 263

Step 2: Find the prime factorization of 144393

144393 = 3 x 48131

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

LCM = 6949490697 = 3 x 3 x 61 x 263 x 48131

Step 4: Therefore, the least common multiple of 144387 and 144393 is 6949490697.