Least Common Multiple of 21500 and 21507

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 21500 and 21507 the smallest integer that is 462400500 that is divisible by both numbers.

Least Common Multiple (LCM) of 21500 and 21507 is 462400500.

LCM(21500,21507) = 462400500

LCM of 21500 and 21507

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

LCM of:
and

Least Common Multiple of 21500 and 21507

LCM of 21500 and 21507 is 462400500

Least common multiple can be found by multiplying the highest exponent prime factors of 21500 and 21507. First we will calculate the prime factors of 21500 and 21507.

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

Prime Factorization of 21507


3 21507
67 7169
107 107
1

Prime factors of 21507 are 3, 67,107. Prime factorization of 21507 in exponential form is:

21507 = 31×671×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 21500 and 21507.

LCM(21500,21507) = 22×31×53×431×671×1071
LCM(21500,21507) = 462400500

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

Factors of 21507

List of positive integer factors of 21507 that divides 21507 without a remainder.

1, 3, 67, 107, 201, 321, 7169, 21507

Least Common Multiple of 21500 and 21507 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21500 and 21507, than apply into the LCM equation.

GCF(21500,21507) = 1
LCM(21500,21507) = ( 21500 × 21507) / 1
LCM(21500,21507) = 462400500 / 1
LCM(21500,21507) = 462400500

Properties of LCM 21500 and 21507

(i) The LCM of 21507 and 21500 is associative

LCM of 21500 and 21507 = LCM of 21507 and 21500

Related Least Common Multiples of 21500

Related Least Common Multiples of 21507

Frequently Asked Questions on LCM of 21500 and 21507

1. What is the LCM of 21500 and 21507?

Answer: LCM of 21500 and 21507 is 462400500.

2. 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.

3. What are the Factors of 21507?

Answer: Factors of 21507 are 1, 3, 67, 107, 201, 321, 7169, 21507. There are 8 integers that are factors of 21507. The greatest factor of 21507 is 21507.

4. How to Find the LCM of 21500 and 21507?

Answer:

Least Common Multiple of 21500 and 21507 = 462400500

Step 1: Find the prime factorization of 21500

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

Step 2: Find the prime factorization of 21507

21507 = 3 x 67 x 107

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

LCM = 462400500 = 2 x 2 x 3 x 5 x 5 x 5 x 43 x 67 x 107

Step 4: Therefore, the least common multiple of 21500 and 21507 is 462400500.