Least Common Multiple of 8521 and 8523

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8521 and 8523 the smallest integer that is 72624483 that is divisible by both numbers.

Least Common Multiple (LCM) of 8521 and 8523 is 72624483.

LCM(8521,8523) = 72624483

LCM of 8521 and 8523

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

LCM of:
and

Least Common Multiple of 8521 and 8523

LCM of 8521 and 8523 is 72624483

Least common multiple can be found by multiplying the highest exponent prime factors of 8521 and 8523. First we will calculate the prime factors of 8521 and 8523.

Prime Factorization of 8521


8521 8521
1

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

8521 = 85211

Prime Factorization of 8523


3 8523
3 2841
947 947
1

Prime factors of 8523 are 3,947. Prime factorization of 8523 in exponential form is:

8523 = 32×9471

Now multiplying the highest exponent prime factors to calculate the LCM of 8521 and 8523.

LCM(8521,8523) = 32×9471×85211
LCM(8521,8523) = 72624483

Factors of 8521

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

1, 8521

Factors of 8523

List of positive integer factors of 8523 that divides 8523 without a remainder.

1, 3, 9, 947, 2841, 8523

Least Common Multiple of 8521 and 8523 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8521 and 8523, than apply into the LCM equation.

GCF(8521,8523) = 1
LCM(8521,8523) = ( 8521 × 8523) / 1
LCM(8521,8523) = 72624483 / 1
LCM(8521,8523) = 72624483

Properties of LCM 8521 and 8523

(i) The LCM of 8523 and 8521 is associative

LCM of 8521 and 8523 = LCM of 8523 and 8521

Related Least Common Multiples of 8521

Related Least Common Multiples of 8523

Frequently Asked Questions on LCM of 8521 and 8523

1. What is the LCM of 8521 and 8523?

Answer: LCM of 8521 and 8523 is 72624483.

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 8523?

Answer: Factors of 8523 are 1, 3, 9, 947, 2841, 8523. There are 6 integers that are factors of 8523. The greatest factor of 8523 is 8523.

4. How to Find the LCM of 8521 and 8523?

Answer:

Least Common Multiple of 8521 and 8523 = 72624483

Step 1: Find the prime factorization of 8521

8521 = 8521

Step 2: Find the prime factorization of 8523

8523 = 3 x 3 x 947

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

LCM = 72624483 = 3 x 3 x 947 x 8521

Step 4: Therefore, the least common multiple of 8521 and 8523 is 72624483.