Least Common Multiple of 21483 and 21489

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 21483 and 21489 the smallest integer that is 153882729 that is divisible by both numbers.

Least Common Multiple (LCM) of 21483 and 21489 is 153882729.

LCM(21483,21489) = 153882729

LCM of 21483 and 21489

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

LCM of:
and

Least Common Multiple of 21483 and 21489

LCM of 21483 and 21489 is 153882729

Least common multiple can be found by multiplying the highest exponent prime factors of 21483 and 21489. First we will calculate the prime factors of 21483 and 21489.

Prime Factorization of 21483


3 21483
3 7161
7 2387
11 341
31 31
1

Prime factors of 21483 are 3, 7, 11,31. Prime factorization of 21483 in exponential form is:

21483 = 32×71×111×311

Prime Factorization of 21489


3 21489
13 7163
19 551
29 29
1

Prime factors of 21489 are 3, 13, 19,29. Prime factorization of 21489 in exponential form is:

21489 = 31×131×191×291

Now multiplying the highest exponent prime factors to calculate the LCM of 21483 and 21489.

LCM(21483,21489) = 32×71×111×131×191×291×311
LCM(21483,21489) = 153882729

Factors of 21483

List of positive integer factors of 21483 that divides 21483 without a remainder.

1, 3, 7, 9, 11, 21, 31, 33, 63, 77, 93, 99, 217, 231, 279, 341, 651, 693, 1023, 1953, 2387, 3069, 7161, 21483

Factors of 21489

List of positive integer factors of 21489 that divides 21489 without a remainder.

1, 3, 13, 19, 29, 39, 57, 87, 247, 377, 551, 741, 1131, 1653, 7163, 21489

Least Common Multiple of 21483 and 21489 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21483 and 21489, than apply into the LCM equation.

GCF(21483,21489) = 3
LCM(21483,21489) = ( 21483 × 21489) / 3
LCM(21483,21489) = 461648187 / 3
LCM(21483,21489) = 153882729

Properties of LCM 21483 and 21489

(i) The LCM of 21489 and 21483 is associative

LCM of 21483 and 21489 = LCM of 21489 and 21483

Related Least Common Multiples of 21483

Related Least Common Multiples of 21489

Frequently Asked Questions on LCM of 21483 and 21489

1. What is the LCM of 21483 and 21489?

Answer: LCM of 21483 and 21489 is 153882729.

2. What are the Factors of 21483?

Answer: Factors of 21483 are 1, 3, 7, 9, 11, 21, 31, 33, 63, 77, 93, 99, 217, 231, 279, 341, 651, 693, 1023, 1953, 2387, 3069, 7161, 21483. There are 24 integers that are factors of 21483. The greatest factor of 21483 is 21483.

3. What are the Factors of 21489?

Answer: Factors of 21489 are 1, 3, 13, 19, 29, 39, 57, 87, 247, 377, 551, 741, 1131, 1653, 7163, 21489. There are 16 integers that are factors of 21489. The greatest factor of 21489 is 21489.

4. How to Find the LCM of 21483 and 21489?

Answer:

Least Common Multiple of 21483 and 21489 = 153882729

Step 1: Find the prime factorization of 21483

21483 = 3 x 3 x 7 x 11 x 31

Step 2: Find the prime factorization of 21489

21489 = 3 x 13 x 19 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 = 153882729 = 3 x 3 x 7 x 11 x 13 x 19 x 29 x 31

Step 4: Therefore, the least common multiple of 21483 and 21489 is 153882729.