Least Common Multiple of 21493 and 21498

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 21493 and 21498 the smallest integer that is 462056514 that is divisible by both numbers.

Least Common Multiple (LCM) of 21493 and 21498 is 462056514.

LCM(21493,21498) = 462056514

LCM of 21493 and 21498

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

LCM of:
and

Least Common Multiple of 21493 and 21498

LCM of 21493 and 21498 is 462056514

Least common multiple can be found by multiplying the highest exponent prime factors of 21493 and 21498. First we will calculate the prime factors of 21493 and 21498.

Prime Factorization of 21493


21493 21493
1

Prime factors of 21493 are 21493. Prime factorization of 21493 in exponential form is:

21493 = 214931

Prime Factorization of 21498


2 21498
3 10749
3583 3583
1

Prime factors of 21498 are 2, 3,3583. Prime factorization of 21498 in exponential form is:

21498 = 21×31×35831

Now multiplying the highest exponent prime factors to calculate the LCM of 21493 and 21498.

LCM(21493,21498) = 21×31×35831×214931
LCM(21493,21498) = 462056514

Factors of 21493

List of positive integer factors of 21493 that divides 21493 without a remainder.

1, 21493

Factors of 21498

List of positive integer factors of 21498 that divides 21498 without a remainder.

1, 2, 3, 6, 3583, 7166, 10749, 21498

Least Common Multiple of 21493 and 21498 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21493 and 21498, than apply into the LCM equation.

GCF(21493,21498) = 1
LCM(21493,21498) = ( 21493 × 21498) / 1
LCM(21493,21498) = 462056514 / 1
LCM(21493,21498) = 462056514

Properties of LCM 21493 and 21498

(i) The LCM of 21498 and 21493 is associative

LCM of 21493 and 21498 = LCM of 21498 and 21493

Related Least Common Multiples of 21493

Related Least Common Multiples of 21498

Frequently Asked Questions on LCM of 21493 and 21498

1. What is the LCM of 21493 and 21498?

Answer: LCM of 21493 and 21498 is 462056514.

2. What are the Factors of 21493?

Answer: Factors of 21493 are 1, 21493. There are 2 integers that are factors of 21493. The greatest factor of 21493 is 21493.

3. What are the Factors of 21498?

Answer: Factors of 21498 are 1, 2, 3, 6, 3583, 7166, 10749, 21498. There are 8 integers that are factors of 21498. The greatest factor of 21498 is 21498.

4. How to Find the LCM of 21493 and 21498?

Answer:

Least Common Multiple of 21493 and 21498 = 462056514

Step 1: Find the prime factorization of 21493

21493 = 21493

Step 2: Find the prime factorization of 21498

21498 = 2 x 3 x 3583

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

LCM = 462056514 = 2 x 3 x 3583 x 21493

Step 4: Therefore, the least common multiple of 21493 and 21498 is 462056514.