Least Common Multiple of 321473 and 321477

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

• Least Common Multiple of 321473 and 321477 by Prime method
• Least Common Multiple of 321473 and 321477 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 321473 and 321477. First we will calculate the prime factors of 321473 and 321477.

Prime Factorization of 321473

Prime factors of 321473 are 563,571. Prime factorization of 321473 in exponential form is:

321473 = 563¹×571¹

Prime Factorization of 321477

Prime factors of 321477 are 3, 13,8243. Prime factorization of 321477 in exponential form is:

321477 = 3¹×13¹×8243¹

Now multiplying the highest exponent prime factors to calculate the LCM of 321473 and 321477.

LCM(321473,321477) = 3¹×13¹×563¹×571¹×8243¹
LCM(321473,321477) = 103346175621

Factors of 321473

List of positive integer factors of 321473 that divides 321473 without a remainder.

1, 563, 571, 321473

Factors of 321477

List of positive integer factors of 321477 that divides 321477 without a remainder.

1, 3, 13, 39, 8243, 24729, 107159, 321477

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 321473 and 321477, than apply into the LCM equation.

GCF(321473,321477) = 1
LCM(321473,321477) = ( 321473 × 321477) / 1
LCM(321473,321477) = 103346175621 / 1
LCM(321473,321477) = 103346175621

(i) The LCM of 321477 and 321473 is associative

LCM of 321473 and 321477 = LCM of 321477 and 321473

1. What is the LCM of 321473 and 321477?

Answer: LCM of 321473 and 321477 is 103346175621.

2. What are the Factors of 321473?

Answer: Factors of 321473 are 1, 563, 571, 321473. There are 4 integers that are factors of 321473. The greatest factor of 321473 is 321473.

3. What are the Factors of 321477?

Answer: Factors of 321477 are 1, 3, 13, 39, 8243, 24729, 107159, 321477. There are 8 integers that are factors of 321477. The greatest factor of 321477 is 321477.

4. How to Find the LCM of 321473 and 321477?

Answer:

Least Common Multiple of 321473 and 321477 = 103346175621

Step 1: Find the prime factorization of 321473

321473 = 563 x 571

Step 2: Find the prime factorization of 321477

321477 = 3 x 13 x 8243

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

LCM = 103346175621 = 3 x 13 x 563 x 571 x 8243

Step 4: Therefore, the least common multiple of 321473 and 321477 is 103346175621.