Least Common Multiple of 21489 and 21494

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 21489 and 21494 the smallest integer that is 461884566 that is divisible by both numbers.

Least Common Multiple (LCM) of 21489 and 21494 is 461884566.

LCM(21489,21494) = 461884566

LCM of 21489 and 21494

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

LCM of:
and

Least Common Multiple of 21489 and 21494

LCM of 21489 and 21494 is 461884566

Least common multiple can be found by multiplying the highest exponent prime factors of 21489 and 21494. First we will calculate the prime factors of 21489 and 21494.

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

Prime Factorization of 21494


2 21494
11 10747
977 977
1

Prime factors of 21494 are 2, 11,977. Prime factorization of 21494 in exponential form is:

21494 = 21×111×9771

Now multiplying the highest exponent prime factors to calculate the LCM of 21489 and 21494.

LCM(21489,21494) = 21×31×111×131×191×291×9771
LCM(21489,21494) = 461884566

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

Factors of 21494

List of positive integer factors of 21494 that divides 21494 without a remainder.

1, 2, 11, 22, 977, 1954, 10747, 21494

Least Common Multiple of 21489 and 21494 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21489 and 21494, than apply into the LCM equation.

GCF(21489,21494) = 1
LCM(21489,21494) = ( 21489 × 21494) / 1
LCM(21489,21494) = 461884566 / 1
LCM(21489,21494) = 461884566

Properties of LCM 21489 and 21494

(i) The LCM of 21494 and 21489 is associative

LCM of 21489 and 21494 = LCM of 21494 and 21489

Related Least Common Multiples of 21489

Related Least Common Multiples of 21494

Frequently Asked Questions on LCM of 21489 and 21494

1. What is the LCM of 21489 and 21494?

Answer: LCM of 21489 and 21494 is 461884566.

2. 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.

3. What are the Factors of 21494?

Answer: Factors of 21494 are 1, 2, 11, 22, 977, 1954, 10747, 21494. There are 8 integers that are factors of 21494. The greatest factor of 21494 is 21494.

4. How to Find the LCM of 21489 and 21494?

Answer:

Least Common Multiple of 21489 and 21494 = 461884566

Step 1: Find the prime factorization of 21489

21489 = 3 x 13 x 19 x 29

Step 2: Find the prime factorization of 21494

21494 = 2 x 11 x 977

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

LCM = 461884566 = 2 x 3 x 11 x 13 x 19 x 29 x 977

Step 4: Therefore, the least common multiple of 21489 and 21494 is 461884566.