Least Common Multiple of 321421 and 321424

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

• Least Common Multiple of 321421 and 321424 by Prime method
• Least Common Multiple of 321421 and 321424 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 321421 and 321424. First we will calculate the prime factors of 321421 and 321424.

Prime Factorization of 321421

Prime factors of 321421 are 293,1097. Prime factorization of 321421 in exponential form is:

321421 = 293¹×1097¹

Prime Factorization of 321424

Prime factors of 321424 are 2,20089. Prime factorization of 321424 in exponential form is:

321424 = 2⁴×20089¹

Now multiplying the highest exponent prime factors to calculate the LCM of 321421 and 321424.

LCM(321421,321424) = 2⁴×293¹×1097¹×20089¹
LCM(321421,321424) = 103312423504

Factors of 321421

List of positive integer factors of 321421 that divides 321421 without a remainder.

1, 293, 1097, 321421

Factors of 321424

List of positive integer factors of 321424 that divides 321424 without a remainder.

1, 2, 4, 8, 16, 20089, 40178, 80356, 160712, 321424

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 321421 and 321424, than apply into the LCM equation.

GCF(321421,321424) = 1
LCM(321421,321424) = ( 321421 × 321424) / 1
LCM(321421,321424) = 103312423504 / 1
LCM(321421,321424) = 103312423504

(i) The LCM of 321424 and 321421 is associative

LCM of 321421 and 321424 = LCM of 321424 and 321421

1. What is the LCM of 321421 and 321424?

Answer: LCM of 321421 and 321424 is 103312423504.

2. What are the Factors of 321421?

Answer: Factors of 321421 are 1, 293, 1097, 321421. There are 4 integers that are factors of 321421. The greatest factor of 321421 is 321421.

3. What are the Factors of 321424?

Answer: Factors of 321424 are 1, 2, 4, 8, 16, 20089, 40178, 80356, 160712, 321424. There are 10 integers that are factors of 321424. The greatest factor of 321424 is 321424.

4. How to Find the LCM of 321421 and 321424?

Answer:

Least Common Multiple of 321421 and 321424 = 103312423504

Step 1: Find the prime factorization of 321421

321421 = 293 x 1097

Step 2: Find the prime factorization of 321424

321424 = 2 x 2 x 2 x 2 x 20089

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

LCM = 103312423504 = 2 x 2 x 2 x 2 x 293 x 1097 x 20089

Step 4: Therefore, the least common multiple of 321421 and 321424 is 103312423504.