Least Common Multiple of 144349 and 144354

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

• Least Common Multiple of 144349 and 144354 by Prime method
• Least Common Multiple of 144349 and 144354 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 144349 and 144354. First we will calculate the prime factors of 144349 and 144354.

Prime Factorization of 144349

Prime factors of 144349 are 144349. Prime factorization of 144349 in exponential form is:

144349 = 144349¹

Prime Factorization of 144354

Prime factors of 144354 are 2, 3, 7,491. Prime factorization of 144354 in exponential form is:

144354 = 2¹×3¹×7²×491¹

Now multiplying the highest exponent prime factors to calculate the LCM of 144349 and 144354.

LCM(144349,144354) = 2¹×3¹×7²×491¹×144349¹
LCM(144349,144354) = 20837355546

Factors of 144349

List of positive integer factors of 144349 that divides 144349 without a remainder.

1, 144349

Factors of 144354

List of positive integer factors of 144354 that divides 144354 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294, 491, 982, 1473, 2946, 3437, 6874, 10311, 20622, 24059, 48118, 72177, 144354

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 144349 and 144354, than apply into the LCM equation.

GCF(144349,144354) = 1
LCM(144349,144354) = ( 144349 × 144354) / 1
LCM(144349,144354) = 20837355546 / 1
LCM(144349,144354) = 20837355546

(i) The LCM of 144354 and 144349 is associative

LCM of 144349 and 144354 = LCM of 144354 and 144349

1. What is the LCM of 144349 and 144354?

Answer: LCM of 144349 and 144354 is 20837355546.

2. What are the Factors of 144349?

Answer: Factors of 144349 are 1, 144349. There are 2 integers that are factors of 144349. The greatest factor of 144349 is 144349.

3. What are the Factors of 144354?

Answer: Factors of 144354 are 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294, 491, 982, 1473, 2946, 3437, 6874, 10311, 20622, 24059, 48118, 72177, 144354. There are 24 integers that are factors of 144354. The greatest factor of 144354 is 144354.

4. How to Find the LCM of 144349 and 144354?

Answer:

Least Common Multiple of 144349 and 144354 = 20837355546

Step 1: Find the prime factorization of 144349

144349 = 144349

Step 2: Find the prime factorization of 144354

144354 = 2 x 3 x 7 x 7 x 491

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

LCM = 20837355546 = 2 x 3 x 7 x 7 x 491 x 144349

Step 4: Therefore, the least common multiple of 144349 and 144354 is 20837355546.