Least Common Multiple of 21522 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 21522 and 21530 the smallest integer that is 231684330 that is divisible by both numbers.

Least Common Multiple (LCM) of 21522 and 21530 is 231684330.

LCM(21522,21530) = 231684330

LCM of 21522 and 21530

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

LCM of:
and

Least Common Multiple of 21522 and 21530

LCM of 21522 and 21530 is 231684330

Least common multiple can be found by multiplying the highest exponent prime factors of 21522 and 21530. First we will calculate the prime factors of 21522 and 21530.

Prime Factorization of 21522


2 21522
3 10761
17 3587
211 211
1

Prime factors of 21522 are 2, 3, 17,211. Prime factorization of 21522 in exponential form is:

21522 = 21×31×171×2111

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 21522 and 21530.

LCM(21522,21530) = 21×31×51×171×2111×21531
LCM(21522,21530) = 231684330

Factors of 21522

List of positive integer factors of 21522 that divides 21522 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 211, 422, 633, 1266, 3587, 7174, 10761, 21522

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 21522 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 21522 and 21530, than apply into the LCM equation.

GCF(21522,21530) = 2
LCM(21522,21530) = ( 21522 × 21530) / 2
LCM(21522,21530) = 463368660 / 2
LCM(21522,21530) = 231684330

Properties of LCM 21522 and 21530

(i) The LCM of 21530 and 21522 is associative

LCM of 21522 and 21530 = LCM of 21530 and 21522

Related Least Common Multiples of 21522

Related Least Common Multiples of 21530

Frequently Asked Questions on LCM of 21522 and 21530

1. What is the LCM of 21522 and 21530?

Answer: LCM of 21522 and 21530 is 231684330.

2. What are the Factors of 21522?

Answer: Factors of 21522 are 1, 2, 3, 6, 17, 34, 51, 102, 211, 422, 633, 1266, 3587, 7174, 10761, 21522. There are 16 integers that are factors of 21522. The greatest factor of 21522 is 21522.

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 21522 and 21530?

Answer:

Least Common Multiple of 21522 and 21530 = 231684330

Step 1: Find the prime factorization of 21522

21522 = 2 x 3 x 17 x 211

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 = 231684330 = 2 x 3 x 5 x 17 x 211 x 2153

Step 4: Therefore, the least common multiple of 21522 and 21530 is 231684330.