Least Common Multiple of 4500 and 4507

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4500 and 4507 the smallest integer that is 20281500 that is divisible by both numbers.

Least Common Multiple (LCM) of 4500 and 4507 is 20281500.

LCM(4500,4507) = 20281500

LCM of 4500 and 4507

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

LCM of:
and

Least Common Multiple of 4500 and 4507

LCM of 4500 and 4507 is 20281500

Least common multiple can be found by multiplying the highest exponent prime factors of 4500 and 4507. First we will calculate the prime factors of 4500 and 4507.

Prime Factorization of 4500


2 4500
2 2250
3 1125
3 375
5 125
5 25
5 5
1

Prime factors of 4500 are 2, 3,5. Prime factorization of 4500 in exponential form is:

4500 = 22×32×53

Prime Factorization of 4507


4507 4507
1

Prime factors of 4507 are 4507. Prime factorization of 4507 in exponential form is:

4507 = 45071

Now multiplying the highest exponent prime factors to calculate the LCM of 4500 and 4507.

LCM(4500,4507) = 22×32×53×45071
LCM(4500,4507) = 20281500

Factors of 4500

List of positive integer factors of 4500 that divides 4500 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 125, 150, 180, 225, 250, 300, 375, 450, 500, 750, 900, 1125, 1500, 2250, 4500

Factors of 4507

List of positive integer factors of 4507 that divides 4507 without a remainder.

1, 4507

Least Common Multiple of 4500 and 4507 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4500 and 4507, than apply into the LCM equation.

GCF(4500,4507) = 1
LCM(4500,4507) = ( 4500 × 4507) / 1
LCM(4500,4507) = 20281500 / 1
LCM(4500,4507) = 20281500

Properties of LCM 4500 and 4507

(i) The LCM of 4507 and 4500 is associative

LCM of 4500 and 4507 = LCM of 4507 and 4500

Related Least Common Multiples of 4500

Related Least Common Multiples of 4507

Frequently Asked Questions on LCM of 4500 and 4507

1. What is the LCM of 4500 and 4507?

Answer: LCM of 4500 and 4507 is 20281500.

2. What are the Factors of 4500?

Answer: Factors of 4500 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 125, 150, 180, 225, 250, 300, 375, 450, 500, 750, 900, 1125, 1500, 2250, 4500. There are 36 integers that are factors of 4500. The greatest factor of 4500 is 4500.

3. What are the Factors of 4507?

Answer: Factors of 4507 are 1, 4507. There are 2 integers that are factors of 4507. The greatest factor of 4507 is 4507.

4. How to Find the LCM of 4500 and 4507?

Answer:

Least Common Multiple of 4500 and 4507 = 20281500

Step 1: Find the prime factorization of 4500

4500 = 2 x 2 x 3 x 3 x 5 x 5 x 5

Step 2: Find the prime factorization of 4507

4507 = 4507

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

LCM = 20281500 = 2 x 2 x 3 x 3 x 5 x 5 x 5 x 4507

Step 4: Therefore, the least common multiple of 4500 and 4507 is 20281500.