Least Common Multiple of 321418 and 321423

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

• Least Common Multiple of 321418 and 321423 by Prime method
• Least Common Multiple of 321418 and 321423 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 321418 and 321423. First we will calculate the prime factors of 321418 and 321423.

Prime Factorization of 321418

Prime factors of 321418 are 2,160709. Prime factorization of 321418 in exponential form is:

321418 = 2¹×160709¹

Prime Factorization of 321423

Prime factors of 321423 are 3, 19,5639. Prime factorization of 321423 in exponential form is:

321423 = 3¹×19¹×5639¹

Now multiplying the highest exponent prime factors to calculate the LCM of 321418 and 321423.

LCM(321418,321423) = 2¹×3¹×19¹×5639¹×160709¹
LCM(321418,321423) = 103311137814

Factors of 321418

List of positive integer factors of 321418 that divides 321418 without a remainder.

1, 2, 160709, 321418

Factors of 321423

List of positive integer factors of 321423 that divides 321423 without a remainder.

1, 3, 19, 57, 5639, 16917, 107141, 321423

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 321418 and 321423, than apply into the LCM equation.

GCF(321418,321423) = 1
LCM(321418,321423) = ( 321418 × 321423) / 1
LCM(321418,321423) = 103311137814 / 1
LCM(321418,321423) = 103311137814

(i) The LCM of 321423 and 321418 is associative

LCM of 321418 and 321423 = LCM of 321423 and 321418

1. What is the LCM of 321418 and 321423?

Answer: LCM of 321418 and 321423 is 103311137814.

2. What are the Factors of 321418?

Answer: Factors of 321418 are 1, 2, 160709, 321418. There are 4 integers that are factors of 321418. The greatest factor of 321418 is 321418.

3. What are the Factors of 321423?

Answer: Factors of 321423 are 1, 3, 19, 57, 5639, 16917, 107141, 321423. There are 8 integers that are factors of 321423. The greatest factor of 321423 is 321423.

4. How to Find the LCM of 321418 and 321423?

Answer:

Least Common Multiple of 321418 and 321423 = 103311137814

Step 1: Find the prime factorization of 321418

321418 = 2 x 160709

Step 2: Find the prime factorization of 321423

321423 = 3 x 19 x 5639

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

LCM = 103311137814 = 2 x 3 x 19 x 5639 x 160709

Step 4: Therefore, the least common multiple of 321418 and 321423 is 103311137814.