Least Common Multiple of 21523 and 21530

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 21523 and 21530 the smallest integer that is 463390190 that is divisible by both numbers.

Least Common Multiple (LCM) of 21523 and 21530 is 463390190.

LCM(21523,21530) = 463390190

LCM of 21523 and 21530

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

LCM of:
and

Least Common Multiple of 21523 and 21530

LCM of 21523 and 21530 is 463390190

Least common multiple can be found by multiplying the highest exponent prime factors of 21523 and 21530. First we will calculate the prime factors of 21523 and 21530.

Prime Factorization of 21523


21523 21523
1

Prime factors of 21523 are 21523. Prime factorization of 21523 in exponential form is:

21523 = 215231

Prime Factorization of 21530


2 21530
5 10765
2153 2153
1

Prime factors of 21530 are 2, 5,2153. Prime factorization of 21530 in exponential form is:

21530 = 21×51×21531

Now multiplying the highest exponent prime factors to calculate the LCM of 21523 and 21530.

LCM(21523,21530) = 21×51×21531×215231
LCM(21523,21530) = 463390190

Factors of 21523

List of positive integer factors of 21523 that divides 21523 without a remainder.

1, 21523

Factors of 21530

List of positive integer factors of 21530 that divides 21530 without a remainder.

1, 2, 5, 10, 2153, 4306, 10765, 21530

Least Common Multiple of 21523 and 21530 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21523 and 21530, than apply into the LCM equation.

GCF(21523,21530) = 1
LCM(21523,21530) = ( 21523 × 21530) / 1
LCM(21523,21530) = 463390190 / 1
LCM(21523,21530) = 463390190

Properties of LCM 21523 and 21530

(i) The LCM of 21530 and 21523 is associative

LCM of 21523 and 21530 = LCM of 21530 and 21523

Related Least Common Multiples of 21523

Related Least Common Multiples of 21530

Frequently Asked Questions on LCM of 21523 and 21530

1. What is the LCM of 21523 and 21530?

Answer: LCM of 21523 and 21530 is 463390190.

2. What are the Factors of 21523?

Answer: Factors of 21523 are 1, 21523. There are 2 integers that are factors of 21523. The greatest factor of 21523 is 21523.

3. What are the Factors of 21530?

Answer: Factors of 21530 are 1, 2, 5, 10, 2153, 4306, 10765, 21530. There are 8 integers that are factors of 21530. The greatest factor of 21530 is 21530.

4. How to Find the LCM of 21523 and 21530?

Answer:

Least Common Multiple of 21523 and 21530 = 463390190

Step 1: Find the prime factorization of 21523

21523 = 21523

Step 2: Find the prime factorization of 21530

21530 = 2 x 5 x 2153

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

LCM = 463390190 = 2 x 5 x 2153 x 21523

Step 4: Therefore, the least common multiple of 21523 and 21530 is 463390190.