Least Common Multiple of 4506 and 4511

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 4511 the smallest integer that is 20326566 that is divisible by both numbers.

Least Common Multiple (LCM) of 4506 and 4511 is 20326566.

LCM(4506,4511) = 20326566

LCM of 4506 and 4511

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

LCM of:
and

Least Common Multiple of 4506 and 4511

LCM of 4506 and 4511 is 20326566

Least common multiple can be found by multiplying the highest exponent prime factors of 4506 and 4511. First we will calculate the prime factors of 4506 and 4511.

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 4511


13 4511
347 347
1

Prime factors of 4511 are 13,347. Prime factorization of 4511 in exponential form is:

4511 = 131×3471

Now multiplying the highest exponent prime factors to calculate the LCM of 4506 and 4511.

LCM(4506,4511) = 21×31×131×3471×7511
LCM(4506,4511) = 20326566

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 4511

List of positive integer factors of 4511 that divides 4511 without a remainder.

1, 13, 347, 4511

Least Common Multiple of 4506 and 4511 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 4511, than apply into the LCM equation.

GCF(4506,4511) = 1
LCM(4506,4511) = ( 4506 × 4511) / 1
LCM(4506,4511) = 20326566 / 1
LCM(4506,4511) = 20326566

Properties of LCM 4506 and 4511

(i) The LCM of 4511 and 4506 is associative

LCM of 4506 and 4511 = LCM of 4511 and 4506

Related Least Common Multiples of 4506

Related Least Common Multiples of 4511

Frequently Asked Questions on LCM of 4506 and 4511

1. What is the LCM of 4506 and 4511?

Answer: LCM of 4506 and 4511 is 20326566.

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 4511?

Answer: Factors of 4511 are 1, 13, 347, 4511. There are 4 integers that are factors of 4511. The greatest factor of 4511 is 4511.

4. How to Find the LCM of 4506 and 4511?

Answer:

Least Common Multiple of 4506 and 4511 = 20326566

Step 1: Find the prime factorization of 4506

4506 = 2 x 3 x 751

Step 2: Find the prime factorization of 4511

4511 = 13 x 347

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

LCM = 20326566 = 2 x 3 x 13 x 347 x 751

Step 4: Therefore, the least common multiple of 4506 and 4511 is 20326566.