Least Common Multiple of 4513 and 4518

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 4518 the smallest integer that is 20389734 that is divisible by both numbers.

Least Common Multiple (LCM) of 4513 and 4518 is 20389734.

LCM(4513,4518) = 20389734

LCM of 4513 and 4518

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

LCM of:
and

Least Common Multiple of 4513 and 4518

LCM of 4513 and 4518 is 20389734

Least common multiple can be found by multiplying the highest exponent prime factors of 4513 and 4518. First we will calculate the prime factors of 4513 and 4518.

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 4518


2 4518
3 2259
3 753
251 251
1

Prime factors of 4518 are 2, 3,251. Prime factorization of 4518 in exponential form is:

4518 = 21×32×2511

Now multiplying the highest exponent prime factors to calculate the LCM of 4513 and 4518.

LCM(4513,4518) = 21×32×2511×45131
LCM(4513,4518) = 20389734

Factors of 4513

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

1, 4513

Factors of 4518

List of positive integer factors of 4518 that divides 4518 without a remainder.

1, 2, 3, 6, 9, 18, 251, 502, 753, 1506, 2259, 4518

Least Common Multiple of 4513 and 4518 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 4518, than apply into the LCM equation.

GCF(4513,4518) = 1
LCM(4513,4518) = ( 4513 × 4518) / 1
LCM(4513,4518) = 20389734 / 1
LCM(4513,4518) = 20389734

Properties of LCM 4513 and 4518

(i) The LCM of 4518 and 4513 is associative

LCM of 4513 and 4518 = LCM of 4518 and 4513

Related Least Common Multiples of 4513

Related Least Common Multiples of 4518

Frequently Asked Questions on LCM of 4513 and 4518

1. What is the LCM of 4513 and 4518?

Answer: LCM of 4513 and 4518 is 20389734.

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 4518?

Answer: Factors of 4518 are 1, 2, 3, 6, 9, 18, 251, 502, 753, 1506, 2259, 4518. There are 12 integers that are factors of 4518. The greatest factor of 4518 is 4518.

4. How to Find the LCM of 4513 and 4518?

Answer:

Least Common Multiple of 4513 and 4518 = 20389734

Step 1: Find the prime factorization of 4513

4513 = 4513

Step 2: Find the prime factorization of 4518

4518 = 2 x 3 x 3 x 251

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

LCM = 20389734 = 2 x 3 x 3 x 251 x 4513

Step 4: Therefore, the least common multiple of 4513 and 4518 is 20389734.