Least Common Multiple of 321451 and 321455

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

• Least Common Multiple of 321451 and 321455 by Prime method
• Least Common Multiple of 321451 and 321455 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 321451 and 321455. First we will calculate the prime factors of 321451 and 321455.

Prime Factorization of 321451

Prime factors of 321451 are 13, 79,313. Prime factorization of 321451 in exponential form is:

321451 = 13¹×79¹×313¹

Prime Factorization of 321455

Prime factors of 321455 are 5, 239,269. Prime factorization of 321455 in exponential form is:

321455 = 5¹×239¹×269¹

Now multiplying the highest exponent prime factors to calculate the LCM of 321451 and 321455.

LCM(321451,321455) = 5¹×13¹×79¹×239¹×269¹×313¹
LCM(321451,321455) = 103332031205

Factors of 321451

List of positive integer factors of 321451 that divides 321451 without a remainder.

1, 13, 79, 313, 1027, 4069, 24727, 321451

Factors of 321455

List of positive integer factors of 321455 that divides 321455 without a remainder.

1, 5, 239, 269, 1195, 1345, 64291, 321455

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 321451 and 321455, than apply into the LCM equation.

GCF(321451,321455) = 1
LCM(321451,321455) = ( 321451 × 321455) / 1
LCM(321451,321455) = 103332031205 / 1
LCM(321451,321455) = 103332031205

(i) The LCM of 321455 and 321451 is associative

LCM of 321451 and 321455 = LCM of 321455 and 321451

1. What is the LCM of 321451 and 321455?

Answer: LCM of 321451 and 321455 is 103332031205.

2. What are the Factors of 321451?

Answer: Factors of 321451 are 1, 13, 79, 313, 1027, 4069, 24727, 321451. There are 8 integers that are factors of 321451. The greatest factor of 321451 is 321451.

3. What are the Factors of 321455?

Answer: Factors of 321455 are 1, 5, 239, 269, 1195, 1345, 64291, 321455. There are 8 integers that are factors of 321455. The greatest factor of 321455 is 321455.

4. How to Find the LCM of 321451 and 321455?

Answer:

Least Common Multiple of 321451 and 321455 = 103332031205

Step 1: Find the prime factorization of 321451

321451 = 13 x 79 x 313

Step 2: Find the prime factorization of 321455

321455 = 5 x 239 x 269

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

LCM = 103332031205 = 5 x 13 x 79 x 239 x 269 x 313

Step 4: Therefore, the least common multiple of 321451 and 321455 is 103332031205.