Least Common Multiple of 4500 and 4506

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 4506 the smallest integer that is 3379500 that is divisible by both numbers.

Least Common Multiple (LCM) of 4500 and 4506 is 3379500.

LCM(4500,4506) = 3379500

LCM of 4500 and 4506

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

LCM of:
and

Least Common Multiple of 4500 and 4506

LCM of 4500 and 4506 is 3379500

Least common multiple can be found by multiplying the highest exponent prime factors of 4500 and 4506. First we will calculate the prime factors of 4500 and 4506.

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 4506


2 4506
3 2253
751 751
1

Prime factors of 4506 are 2, 3,751. Prime factorization of 4506 in exponential form is:

4506 = 21×31×7511

Now multiplying the highest exponent prime factors to calculate the LCM of 4500 and 4506.

LCM(4500,4506) = 22×32×53×7511
LCM(4500,4506) = 3379500

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 4506

List of positive integer factors of 4506 that divides 4506 without a remainder.

1, 2, 3, 6, 751, 1502, 2253, 4506

Least Common Multiple of 4500 and 4506 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 4506, than apply into the LCM equation.

GCF(4500,4506) = 6
LCM(4500,4506) = ( 4500 × 4506) / 6
LCM(4500,4506) = 20277000 / 6
LCM(4500,4506) = 3379500

Properties of LCM 4500 and 4506

(i) The LCM of 4506 and 4500 is associative

LCM of 4500 and 4506 = LCM of 4506 and 4500

Related Least Common Multiples of 4500

Related Least Common Multiples of 4506

Frequently Asked Questions on LCM of 4500 and 4506

1. What is the LCM of 4500 and 4506?

Answer: LCM of 4500 and 4506 is 3379500.

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 4506?

Answer: Factors of 4506 are 1, 2, 3, 6, 751, 1502, 2253, 4506. There are 8 integers that are factors of 4506. The greatest factor of 4506 is 4506.

4. How to Find the LCM of 4500 and 4506?

Answer:

Least Common Multiple of 4500 and 4506 = 3379500

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 4506

4506 = 2 x 3 x 751

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

LCM = 3379500 = 2 x 2 x 3 x 3 x 5 x 5 x 5 x 751

Step 4: Therefore, the least common multiple of 4500 and 4506 is 3379500.