Least Common Multiple of 4512 and 4517

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 4517 the smallest integer that is 20380704 that is divisible by both numbers.

Least Common Multiple (LCM) of 4512 and 4517 is 20380704.

LCM(4512,4517) = 20380704

LCM of 4512 and 4517

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

LCM of:
and

Least Common Multiple of 4512 and 4517

LCM of 4512 and 4517 is 20380704

Least common multiple can be found by multiplying the highest exponent prime factors of 4512 and 4517. First we will calculate the prime factors of 4512 and 4517.

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 4517


4517 4517
1

Prime factors of 4517 are 4517. Prime factorization of 4517 in exponential form is:

4517 = 45171

Now multiplying the highest exponent prime factors to calculate the LCM of 4512 and 4517.

LCM(4512,4517) = 25×31×471×45171
LCM(4512,4517) = 20380704

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 4517

List of positive integer factors of 4517 that divides 4517 without a remainder.

1, 4517

Least Common Multiple of 4512 and 4517 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 4517, than apply into the LCM equation.

GCF(4512,4517) = 1
LCM(4512,4517) = ( 4512 × 4517) / 1
LCM(4512,4517) = 20380704 / 1
LCM(4512,4517) = 20380704

Properties of LCM 4512 and 4517

(i) The LCM of 4517 and 4512 is associative

LCM of 4512 and 4517 = LCM of 4517 and 4512

Related Least Common Multiples of 4512

Related Least Common Multiples of 4517

Frequently Asked Questions on LCM of 4512 and 4517

1. What is the LCM of 4512 and 4517?

Answer: LCM of 4512 and 4517 is 20380704.

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 4517?

Answer: Factors of 4517 are 1, 4517. There are 2 integers that are factors of 4517. The greatest factor of 4517 is 4517.

4. How to Find the LCM of 4512 and 4517?

Answer:

Least Common Multiple of 4512 and 4517 = 20380704

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 4517

4517 = 4517

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

LCM = 20380704 = 2 x 2 x 2 x 2 x 2 x 3 x 47 x 4517

Step 4: Therefore, the least common multiple of 4512 and 4517 is 20380704.