Least Common Multiple of 21475 and 21481

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 21475 and 21481 the smallest integer that is 461304475 that is divisible by both numbers.

Least Common Multiple (LCM) of 21475 and 21481 is 461304475.

LCM(21475,21481) = 461304475

LCM of 21475 and 21481

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

LCM of:
and

Least Common Multiple of 21475 and 21481

LCM of 21475 and 21481 is 461304475

Least common multiple can be found by multiplying the highest exponent prime factors of 21475 and 21481. First we will calculate the prime factors of 21475 and 21481.

Prime Factorization of 21475


5 21475
5 4295
859 859
1

Prime factors of 21475 are 5,859. Prime factorization of 21475 in exponential form is:

21475 = 52×8591

Prime Factorization of 21481


21481 21481
1

Prime factors of 21481 are 21481. Prime factorization of 21481 in exponential form is:

21481 = 214811

Now multiplying the highest exponent prime factors to calculate the LCM of 21475 and 21481.

LCM(21475,21481) = 52×8591×214811
LCM(21475,21481) = 461304475

Factors of 21475

List of positive integer factors of 21475 that divides 21475 without a remainder.

1, 5, 25, 859, 4295, 21475

Factors of 21481

List of positive integer factors of 21481 that divides 21481 without a remainder.

1, 21481

Least Common Multiple of 21475 and 21481 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21475 and 21481, than apply into the LCM equation.

GCF(21475,21481) = 1
LCM(21475,21481) = ( 21475 × 21481) / 1
LCM(21475,21481) = 461304475 / 1
LCM(21475,21481) = 461304475

Properties of LCM 21475 and 21481

(i) The LCM of 21481 and 21475 is associative

LCM of 21475 and 21481 = LCM of 21481 and 21475

Related Least Common Multiples of 21475

Related Least Common Multiples of 21481

Frequently Asked Questions on LCM of 21475 and 21481

1. What is the LCM of 21475 and 21481?

Answer: LCM of 21475 and 21481 is 461304475.

2. What are the Factors of 21475?

Answer: Factors of 21475 are 1, 5, 25, 859, 4295, 21475. There are 6 integers that are factors of 21475. The greatest factor of 21475 is 21475.

3. What are the Factors of 21481?

Answer: Factors of 21481 are 1, 21481. There are 2 integers that are factors of 21481. The greatest factor of 21481 is 21481.

4. How to Find the LCM of 21475 and 21481?

Answer:

Least Common Multiple of 21475 and 21481 = 461304475

Step 1: Find the prime factorization of 21475

21475 = 5 x 5 x 859

Step 2: Find the prime factorization of 21481

21481 = 21481

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

LCM = 461304475 = 5 x 5 x 859 x 21481

Step 4: Therefore, the least common multiple of 21475 and 21481 is 461304475.