Least Common Multiple of 21494 and 21500

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 21494 and 21500 the smallest integer that is 231060500 that is divisible by both numbers.

Least Common Multiple (LCM) of 21494 and 21500 is 231060500.

LCM(21494,21500) = 231060500

LCM of 21494 and 21500

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

LCM of:
and

Least Common Multiple of 21494 and 21500

LCM of 21494 and 21500 is 231060500

Least common multiple can be found by multiplying the highest exponent prime factors of 21494 and 21500. First we will calculate the prime factors of 21494 and 21500.

Prime Factorization of 21494


2 21494
11 10747
977 977
1

Prime factors of 21494 are 2, 11,977. Prime factorization of 21494 in exponential form is:

21494 = 21×111×9771

Prime Factorization of 21500


2 21500
2 10750
5 5375
5 1075
5 215
43 43
1

Prime factors of 21500 are 2, 5,43. Prime factorization of 21500 in exponential form is:

21500 = 22×53×431

Now multiplying the highest exponent prime factors to calculate the LCM of 21494 and 21500.

LCM(21494,21500) = 22×53×111×431×9771
LCM(21494,21500) = 231060500

Factors of 21494

List of positive integer factors of 21494 that divides 21494 without a remainder.

1, 2, 11, 22, 977, 1954, 10747, 21494

Factors of 21500

List of positive integer factors of 21500 that divides 21500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 43, 50, 86, 100, 125, 172, 215, 250, 430, 500, 860, 1075, 2150, 4300, 5375, 10750, 21500

Least Common Multiple of 21494 and 21500 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21494 and 21500, than apply into the LCM equation.

GCF(21494,21500) = 2
LCM(21494,21500) = ( 21494 × 21500) / 2
LCM(21494,21500) = 462121000 / 2
LCM(21494,21500) = 231060500

Properties of LCM 21494 and 21500

(i) The LCM of 21500 and 21494 is associative

LCM of 21494 and 21500 = LCM of 21500 and 21494

Related Least Common Multiples of 21494

Related Least Common Multiples of 21500

Frequently Asked Questions on LCM of 21494 and 21500

1. What is the LCM of 21494 and 21500?

Answer: LCM of 21494 and 21500 is 231060500.

2. What are the Factors of 21494?

Answer: Factors of 21494 are 1, 2, 11, 22, 977, 1954, 10747, 21494. There are 8 integers that are factors of 21494. The greatest factor of 21494 is 21494.

3. What are the Factors of 21500?

Answer: Factors of 21500 are 1, 2, 4, 5, 10, 20, 25, 43, 50, 86, 100, 125, 172, 215, 250, 430, 500, 860, 1075, 2150, 4300, 5375, 10750, 21500. There are 24 integers that are factors of 21500. The greatest factor of 21500 is 21500.

4. How to Find the LCM of 21494 and 21500?

Answer:

Least Common Multiple of 21494 and 21500 = 231060500

Step 1: Find the prime factorization of 21494

21494 = 2 x 11 x 977

Step 2: Find the prime factorization of 21500

21500 = 2 x 2 x 5 x 5 x 5 x 43

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

LCM = 231060500 = 2 x 2 x 5 x 5 x 5 x 11 x 43 x 977

Step 4: Therefore, the least common multiple of 21494 and 21500 is 231060500.