Least Common Multiple of 4512 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 4512 and 4518 the smallest integer that is 3397536 that is divisible by both numbers.

Least Common Multiple (LCM) of 4512 and 4518 is 3397536.

LCM(4512,4518) = 3397536

LCM of 4512 and 4518

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

LCM of:
and

Least Common Multiple of 4512 and 4518

LCM of 4512 and 4518 is 3397536

Least common multiple can be found by multiplying the highest exponent prime factors of 4512 and 4518. First we will calculate the prime factors of 4512 and 4518.

Prime Factorization of 4512


2 4512
2 2256
2 1128
2 564
2 282
3 141
47 47
1

Prime factors of 4512 are 2, 3,47. Prime factorization of 4512 in exponential form is:

4512 = 25×31×471

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 4512 and 4518.

LCM(4512,4518) = 25×32×471×2511
LCM(4512,4518) = 3397536

Factors of 4512

List of positive integer factors of 4512 that divides 4512 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 47, 48, 94, 96, 141, 188, 282, 376, 564, 752, 1128, 1504, 2256, 4512

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 4512 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 4512 and 4518, than apply into the LCM equation.

GCF(4512,4518) = 6
LCM(4512,4518) = ( 4512 × 4518) / 6
LCM(4512,4518) = 20385216 / 6
LCM(4512,4518) = 3397536

Properties of LCM 4512 and 4518

(i) The LCM of 4518 and 4512 is associative

LCM of 4512 and 4518 = LCM of 4518 and 4512

Related Least Common Multiples of 4512

Related Least Common Multiples of 4518

Frequently Asked Questions on LCM of 4512 and 4518

1. What is the LCM of 4512 and 4518?

Answer: LCM of 4512 and 4518 is 3397536.

2. What are the Factors of 4512?

Answer: Factors of 4512 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 47, 48, 94, 96, 141, 188, 282, 376, 564, 752, 1128, 1504, 2256, 4512. There are 24 integers that are factors of 4512. The greatest factor of 4512 is 4512.

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 4512 and 4518?

Answer:

Least Common Multiple of 4512 and 4518 = 3397536

Step 1: Find the prime factorization of 4512

4512 = 2 x 2 x 2 x 2 x 2 x 3 x 47

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 = 3397536 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 47 x 251

Step 4: Therefore, the least common multiple of 4512 and 4518 is 3397536.