Least Common Multiple of 321445 and 321451

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

• Least Common Multiple of 321445 and 321451 by Prime method
• Least Common Multiple of 321445 and 321451 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 321445 and 321451. First we will calculate the prime factors of 321445 and 321451.

Prime Factorization of 321445

Prime factors of 321445 are 5, 53,1213. Prime factorization of 321445 in exponential form is:

321445 = 5¹×53¹×1213¹

Prime Factorization of 321451

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

321451 = 13¹×79¹×313¹

Now multiplying the highest exponent prime factors to calculate the LCM of 321445 and 321451.

LCM(321445,321451) = 5¹×13¹×53¹×79¹×313¹×1213¹
LCM(321445,321451) = 103328816695

Factors of 321445

List of positive integer factors of 321445 that divides 321445 without a remainder.

1, 5, 53, 265, 1213, 6065, 64289, 321445

Factors of 321451

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

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

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 321445 and 321451, than apply into the LCM equation.

GCF(321445,321451) = 1
LCM(321445,321451) = ( 321445 × 321451) / 1
LCM(321445,321451) = 103328816695 / 1
LCM(321445,321451) = 103328816695

(i) The LCM of 321451 and 321445 is associative

LCM of 321445 and 321451 = LCM of 321451 and 321445

1. What is the LCM of 321445 and 321451?

Answer: LCM of 321445 and 321451 is 103328816695.

2. What are the Factors of 321445?

Answer: Factors of 321445 are 1, 5, 53, 265, 1213, 6065, 64289, 321445. There are 8 integers that are factors of 321445. The greatest factor of 321445 is 321445.

3. 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.

4. How to Find the LCM of 321445 and 321451?

Answer:

Least Common Multiple of 321445 and 321451 = 103328816695

Step 1: Find the prime factorization of 321445

321445 = 5 x 53 x 1213

Step 2: Find the prime factorization of 321451

321451 = 13 x 79 x 313

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

LCM = 103328816695 = 5 x 13 x 53 x 79 x 313 x 1213

Step 4: Therefore, the least common multiple of 321445 and 321451 is 103328816695.