Least Common Multiple of 21498 and 21506

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 21506 the smallest integer that is 231167994 that is divisible by both numbers.

Least Common Multiple (LCM) of 21498 and 21506 is 231167994.

LCM(21498,21506) = 231167994

LCM of 21498 and 21506

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

LCM of:
and

Least Common Multiple of 21498 and 21506

LCM of 21498 and 21506 is 231167994

Least common multiple can be found by multiplying the highest exponent prime factors of 21498 and 21506. First we will calculate the prime factors of 21498 and 21506.

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 21506


2 21506
10753 10753
1

Prime factors of 21506 are 2,10753. Prime factorization of 21506 in exponential form is:

21506 = 21×107531

Now multiplying the highest exponent prime factors to calculate the LCM of 21498 and 21506.

LCM(21498,21506) = 21×31×35831×107531
LCM(21498,21506) = 231167994

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 21506

List of positive integer factors of 21506 that divides 21506 without a remainder.

1, 2, 10753, 21506

Least Common Multiple of 21498 and 21506 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 21506, than apply into the LCM equation.

GCF(21498,21506) = 2
LCM(21498,21506) = ( 21498 × 21506) / 2
LCM(21498,21506) = 462335988 / 2
LCM(21498,21506) = 231167994

Properties of LCM 21498 and 21506

(i) The LCM of 21506 and 21498 is associative

LCM of 21498 and 21506 = LCM of 21506 and 21498

Related Least Common Multiples of 21498

Related Least Common Multiples of 21506

Frequently Asked Questions on LCM of 21498 and 21506

1. What is the LCM of 21498 and 21506?

Answer: LCM of 21498 and 21506 is 231167994.

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 21506?

Answer: Factors of 21506 are 1, 2, 10753, 21506. There are 4 integers that are factors of 21506. The greatest factor of 21506 is 21506.

4. How to Find the LCM of 21498 and 21506?

Answer:

Least Common Multiple of 21498 and 21506 = 231167994

Step 1: Find the prime factorization of 21498

21498 = 2 x 3 x 3583

Step 2: Find the prime factorization of 21506

21506 = 2 x 10753

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

LCM = 231167994 = 2 x 3 x 3583 x 10753

Step 4: Therefore, the least common multiple of 21498 and 21506 is 231167994.