Least Common Multiple of 21475 and 21479

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 21479 the smallest integer that is 461261525 that is divisible by both numbers.

Least Common Multiple (LCM) of 21475 and 21479 is 461261525.

LCM(21475,21479) = 461261525

LCM of 21475 and 21479

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

LCM of:
and

Least Common Multiple of 21475 and 21479

LCM of 21475 and 21479 is 461261525

Least common multiple can be found by multiplying the highest exponent prime factors of 21475 and 21479. First we will calculate the prime factors of 21475 and 21479.

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 21479


47 21479
457 457
1

Prime factors of 21479 are 47,457. Prime factorization of 21479 in exponential form is:

21479 = 471×4571

Now multiplying the highest exponent prime factors to calculate the LCM of 21475 and 21479.

LCM(21475,21479) = 52×471×4571×8591
LCM(21475,21479) = 461261525

Factors of 21475

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

1, 5, 25, 859, 4295, 21475

Factors of 21479

List of positive integer factors of 21479 that divides 21479 without a remainder.

1, 47, 457, 21479

Least Common Multiple of 21475 and 21479 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 21479, than apply into the LCM equation.

GCF(21475,21479) = 1
LCM(21475,21479) = ( 21475 × 21479) / 1
LCM(21475,21479) = 461261525 / 1
LCM(21475,21479) = 461261525

Properties of LCM 21475 and 21479

(i) The LCM of 21479 and 21475 is associative

LCM of 21475 and 21479 = LCM of 21479 and 21475

Related Least Common Multiples of 21475

Related Least Common Multiples of 21479

Frequently Asked Questions on LCM of 21475 and 21479

1. What is the LCM of 21475 and 21479?

Answer: LCM of 21475 and 21479 is 461261525.

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 21479?

Answer: Factors of 21479 are 1, 47, 457, 21479. There are 4 integers that are factors of 21479. The greatest factor of 21479 is 21479.

4. How to Find the LCM of 21475 and 21479?

Answer:

Least Common Multiple of 21475 and 21479 = 461261525

Step 1: Find the prime factorization of 21475

21475 = 5 x 5 x 859

Step 2: Find the prime factorization of 21479

21479 = 47 x 457

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

LCM = 461261525 = 5 x 5 x 47 x 457 x 859

Step 4: Therefore, the least common multiple of 21475 and 21479 is 461261525.