Least Common Multiple of 21498 and 21503

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 21498 and 21503 the smallest integer that is 462271494 that is divisible by both numbers.

Least Common Multiple (LCM) of 21498 and 21503 is 462271494.

LCM(21498,21503) = 462271494

LCM of 21498 and 21503

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

LCM of:
and

Least Common Multiple of 21498 and 21503

LCM of 21498 and 21503 is 462271494

Least common multiple can be found by multiplying the highest exponent prime factors of 21498 and 21503. First we will calculate the prime factors of 21498 and 21503.

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

Prime Factorization of 21503


21503 21503
1

Prime factors of 21503 are 21503. Prime factorization of 21503 in exponential form is:

21503 = 215031

Now multiplying the highest exponent prime factors to calculate the LCM of 21498 and 21503.

LCM(21498,21503) = 21×31×35831×215031
LCM(21498,21503) = 462271494

Factors of 21498

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

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

Factors of 21503

List of positive integer factors of 21503 that divides 21503 without a remainder.

1, 21503

Least Common Multiple of 21498 and 21503 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21498 and 21503, than apply into the LCM equation.

GCF(21498,21503) = 1
LCM(21498,21503) = ( 21498 × 21503) / 1
LCM(21498,21503) = 462271494 / 1
LCM(21498,21503) = 462271494

Properties of LCM 21498 and 21503

(i) The LCM of 21503 and 21498 is associative

LCM of 21498 and 21503 = LCM of 21503 and 21498

Related Least Common Multiples of 21498

Related Least Common Multiples of 21503

Frequently Asked Questions on LCM of 21498 and 21503

1. What is the LCM of 21498 and 21503?

Answer: LCM of 21498 and 21503 is 462271494.

2. 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.

3. What are the Factors of 21503?

Answer: Factors of 21503 are 1, 21503. There are 2 integers that are factors of 21503. The greatest factor of 21503 is 21503.

4. How to Find the LCM of 21498 and 21503?

Answer:

Least Common Multiple of 21498 and 21503 = 462271494

Step 1: Find the prime factorization of 21498

21498 = 2 x 3 x 3583

Step 2: Find the prime factorization of 21503

21503 = 21503

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

LCM = 462271494 = 2 x 3 x 3583 x 21503

Step 4: Therefore, the least common multiple of 21498 and 21503 is 462271494.