Least Common Multiple of 4511 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 4511 and 4518 the smallest integer that is 20380698 that is divisible by both numbers.

Least Common Multiple (LCM) of 4511 and 4518 is 20380698.

LCM(4511,4518) = 20380698

LCM of 4511 and 4518

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

LCM of:
and

Least Common Multiple of 4511 and 4518

LCM of 4511 and 4518 is 20380698

Least common multiple can be found by multiplying the highest exponent prime factors of 4511 and 4518. First we will calculate the prime factors of 4511 and 4518.

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

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 4511 and 4518.

LCM(4511,4518) = 21×32×131×2511×3471
LCM(4511,4518) = 20380698

Factors of 4511

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

1, 13, 347, 4511

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 4511 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 4511 and 4518, than apply into the LCM equation.

GCF(4511,4518) = 1
LCM(4511,4518) = ( 4511 × 4518) / 1
LCM(4511,4518) = 20380698 / 1
LCM(4511,4518) = 20380698

Properties of LCM 4511 and 4518

(i) The LCM of 4518 and 4511 is associative

LCM of 4511 and 4518 = LCM of 4518 and 4511

Related Least Common Multiples of 4511

Related Least Common Multiples of 4518

Frequently Asked Questions on LCM of 4511 and 4518

1. What is the LCM of 4511 and 4518?

Answer: LCM of 4511 and 4518 is 20380698.

2. 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.

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 4511 and 4518?

Answer:

Least Common Multiple of 4511 and 4518 = 20380698

Step 1: Find the prime factorization of 4511

4511 = 13 x 347

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 = 20380698 = 2 x 3 x 3 x 13 x 251 x 347

Step 4: Therefore, the least common multiple of 4511 and 4518 is 20380698.