Least Common Multiple of 4506 and 4513

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4506 and 4513 the smallest integer that is 20335578 that is divisible by both numbers.

Least Common Multiple (LCM) of 4506 and 4513 is 20335578.

LCM(4506,4513) = 20335578

LCM of 4506 and 4513

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

LCM of:
and

Least Common Multiple of 4506 and 4513

LCM of 4506 and 4513 is 20335578

Least common multiple can be found by multiplying the highest exponent prime factors of 4506 and 4513. First we will calculate the prime factors of 4506 and 4513.

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

Prime Factorization of 4513


4513 4513
1

Prime factors of 4513 are 4513. Prime factorization of 4513 in exponential form is:

4513 = 45131

Now multiplying the highest exponent prime factors to calculate the LCM of 4506 and 4513.

LCM(4506,4513) = 21×31×7511×45131
LCM(4506,4513) = 20335578

Factors of 4506

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

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

Factors of 4513

List of positive integer factors of 4513 that divides 4513 without a remainder.

1, 4513

Least Common Multiple of 4506 and 4513 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4506 and 4513, than apply into the LCM equation.

GCF(4506,4513) = 1
LCM(4506,4513) = ( 4506 × 4513) / 1
LCM(4506,4513) = 20335578 / 1
LCM(4506,4513) = 20335578

Properties of LCM 4506 and 4513

(i) The LCM of 4513 and 4506 is associative

LCM of 4506 and 4513 = LCM of 4513 and 4506

Related Least Common Multiples of 4506

Related Least Common Multiples of 4513

Frequently Asked Questions on LCM of 4506 and 4513

1. What is the LCM of 4506 and 4513?

Answer: LCM of 4506 and 4513 is 20335578.

2. 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.

3. What are the Factors of 4513?

Answer: Factors of 4513 are 1, 4513. There are 2 integers that are factors of 4513. The greatest factor of 4513 is 4513.

4. How to Find the LCM of 4506 and 4513?

Answer:

Least Common Multiple of 4506 and 4513 = 20335578

Step 1: Find the prime factorization of 4506

4506 = 2 x 3 x 751

Step 2: Find the prime factorization of 4513

4513 = 4513

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

LCM = 20335578 = 2 x 3 x 751 x 4513

Step 4: Therefore, the least common multiple of 4506 and 4513 is 20335578.