Least Common Multiple of 4513 and 4519

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4513 and 4519 the smallest integer that is 20394247 that is divisible by both numbers.

Least Common Multiple (LCM) of 4513 and 4519 is 20394247.

LCM(4513,4519) = 20394247

LCM of 4513 and 4519

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

LCM of:
and

Least Common Multiple of 4513 and 4519

LCM of 4513 and 4519 is 20394247

Least common multiple can be found by multiplying the highest exponent prime factors of 4513 and 4519. First we will calculate the prime factors of 4513 and 4519.

Prime Factorization of 4513


4513 4513
1

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

4513 = 45131

Prime Factorization of 4519


4519 4519
1

Prime factors of 4519 are 4519. Prime factorization of 4519 in exponential form is:

4519 = 45191

Now multiplying the highest exponent prime factors to calculate the LCM of 4513 and 4519.

LCM(4513,4519) = 45131×45191
LCM(4513,4519) = 20394247

Factors of 4513

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

1, 4513

Factors of 4519

List of positive integer factors of 4519 that divides 4519 without a remainder.

1, 4519

Least Common Multiple of 4513 and 4519 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4513 and 4519, than apply into the LCM equation.

GCF(4513,4519) = 1
LCM(4513,4519) = ( 4513 × 4519) / 1
LCM(4513,4519) = 20394247 / 1
LCM(4513,4519) = 20394247

Properties of LCM 4513 and 4519

(i) The LCM of 4519 and 4513 is associative

LCM of 4513 and 4519 = LCM of 4519 and 4513

Related Least Common Multiples of 4513

Related Least Common Multiples of 4519

Frequently Asked Questions on LCM of 4513 and 4519

1. What is the LCM of 4513 and 4519?

Answer: LCM of 4513 and 4519 is 20394247.

2. 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.

3. What are the Factors of 4519?

Answer: Factors of 4519 are 1, 4519. There are 2 integers that are factors of 4519. The greatest factor of 4519 is 4519.

4. How to Find the LCM of 4513 and 4519?

Answer:

Least Common Multiple of 4513 and 4519 = 20394247

Step 1: Find the prime factorization of 4513

4513 = 4513

Step 2: Find the prime factorization of 4519

4519 = 4519

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

LCM = 20394247 = 4513 x 4519

Step 4: Therefore, the least common multiple of 4513 and 4519 is 20394247.