Least Common Multiple of 321451 and 321457

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

• Least Common Multiple of 321451 and 321457 by Prime method
• Least Common Multiple of 321451 and 321457 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 321451 and 321457. First we will calculate the prime factors of 321451 and 321457.

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 321457

Prime factors of 321457 are 521,617. Prime factorization of 321457 in exponential form is:

321457 = 521¹×617¹

Now multiplying the highest exponent prime factors to calculate the LCM of 321451 and 321457.

LCM(321451,321457) = 13¹×79¹×313¹×521¹×617¹
LCM(321451,321457) = 103332674107

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 321457

List of positive integer factors of 321457 that divides 321457 without a remainder.

1, 521, 617, 321457

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 321451 and 321457, than apply into the LCM equation.

GCF(321451,321457) = 1
LCM(321451,321457) = ( 321451 × 321457) / 1
LCM(321451,321457) = 103332674107 / 1
LCM(321451,321457) = 103332674107

(i) The LCM of 321457 and 321451 is associative

LCM of 321451 and 321457 = LCM of 321457 and 321451

1. What is the LCM of 321451 and 321457?

Answer: LCM of 321451 and 321457 is 103332674107.

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 321457?

Answer: Factors of 321457 are 1, 521, 617, 321457. There are 4 integers that are factors of 321457. The greatest factor of 321457 is 321457.

4. How to Find the LCM of 321451 and 321457?

Answer:

Least Common Multiple of 321451 and 321457 = 103332674107

Step 1: Find the prime factorization of 321451

321451 = 13 x 79 x 313

Step 2: Find the prime factorization of 321457

321457 = 521 x 617

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

LCM = 103332674107 = 13 x 79 x 313 x 521 x 617

Step 4: Therefore, the least common multiple of 321451 and 321457 is 103332674107.