Least Common Multiple of 21485 and 21489

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

• Least Common Multiple of 21485 and 21489 by Prime method
• Least Common Multiple of 21485 and 21489 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 21485 and 21489. First we will calculate the prime factors of 21485 and 21489.

Prime Factorization of 21485

Prime factors of 21485 are 5,4297. Prime factorization of 21485 in exponential form is:

21485 = 5¹×4297¹

Prime Factorization of 21489

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 21485 and 21489.

LCM(21485,21489) = 3¹×5¹×13¹×19¹×29¹×4297¹
LCM(21485,21489) = 461691165

Factors of 21485

List of positive integer factors of 21485 that divides 21485 without a remainder.

1, 5, 4297, 21485

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

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21485 and 21489, than apply into the LCM equation.

GCF(21485,21489) = 1
LCM(21485,21489) = ( 21485 × 21489) / 1
LCM(21485,21489) = 461691165 / 1
LCM(21485,21489) = 461691165

(i) The LCM of 21489 and 21485 is associative

LCM of 21485 and 21489 = LCM of 21489 and 21485

1. What is the LCM of 21485 and 21489?

Answer: LCM of 21485 and 21489 is 461691165.

2. What are the Factors of 21485?

Answer: Factors of 21485 are 1, 5, 4297, 21485. There are 4 integers that are factors of 21485. The greatest factor of 21485 is 21485.

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 21485 and 21489?

Answer:

Least Common Multiple of 21485 and 21489 = 461691165

Step 1: Find the prime factorization of 21485

21485 = 5 x 4297

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 = 461691165 = 3 x 5 x 13 x 19 x 29 x 4297

Step 4: Therefore, the least common multiple of 21485 and 21489 is 461691165.