Least Common Multiple of 8521 and 8526

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

• Least Common Multiple of 8521 and 8526 by Prime method
• Least Common Multiple of 8521 and 8526 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 8521 and 8526. First we will calculate the prime factors of 8521 and 8526.

Prime Factorization of 8521

Prime factors of 8521 are 8521. Prime factorization of 8521 in exponential form is:

8521 = 8521¹

Prime Factorization of 8526

Prime factors of 8526 are 2, 3, 7,29. Prime factorization of 8526 in exponential form is:

8526 = 2¹×3¹×7²×29¹

Now multiplying the highest exponent prime factors to calculate the LCM of 8521 and 8526.

LCM(8521,8526) = 2¹×3¹×7²×29¹×8521¹
LCM(8521,8526) = 72650046

Factors of 8521

List of positive integer factors of 8521 that divides 8521 without a remainder.

1, 8521

Factors of 8526

List of positive integer factors of 8526 that divides 8526 without a remainder.

1, 2, 3, 6, 7, 14, 21, 29, 42, 49, 58, 87, 98, 147, 174, 203, 294, 406, 609, 1218, 1421, 2842, 4263, 8526

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8521 and 8526, than apply into the LCM equation.

GCF(8521,8526) = 1
LCM(8521,8526) = ( 8521 × 8526) / 1
LCM(8521,8526) = 72650046 / 1
LCM(8521,8526) = 72650046

(i) The LCM of 8526 and 8521 is associative

LCM of 8521 and 8526 = LCM of 8526 and 8521

1. What is the LCM of 8521 and 8526?

Answer: LCM of 8521 and 8526 is 72650046.

2. What are the Factors of 8521?

Answer: Factors of 8521 are 1, 8521. There are 2 integers that are factors of 8521. The greatest factor of 8521 is 8521.

3. What are the Factors of 8526?

Answer: Factors of 8526 are 1, 2, 3, 6, 7, 14, 21, 29, 42, 49, 58, 87, 98, 147, 174, 203, 294, 406, 609, 1218, 1421, 2842, 4263, 8526. There are 24 integers that are factors of 8526. The greatest factor of 8526 is 8526.

4. How to Find the LCM of 8521 and 8526?

Answer:

Least Common Multiple of 8521 and 8526 = 72650046

Step 1: Find the prime factorization of 8521

8521 = 8521

Step 2: Find the prime factorization of 8526

8526 = 2 x 3 x 7 x 7 x 29

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

LCM = 72650046 = 2 x 3 x 7 x 7 x 29 x 8521

Step 4: Therefore, the least common multiple of 8521 and 8526 is 72650046.