Least Common Multiple of 4512 and 4516

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 4516 the smallest integer that is 5094048 that is divisible by both numbers.

Least Common Multiple (LCM) of 4512 and 4516 is 5094048.

LCM(4512,4516) = 5094048

LCM of 4512 and 4516

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

LCM of:
and

Least Common Multiple of 4512 and 4516

LCM of 4512 and 4516 is 5094048

Least common multiple can be found by multiplying the highest exponent prime factors of 4512 and 4516. First we will calculate the prime factors of 4512 and 4516.

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 4516


2 4516
2 2258
1129 1129
1

Prime factors of 4516 are 2,1129. Prime factorization of 4516 in exponential form is:

4516 = 22×11291

Now multiplying the highest exponent prime factors to calculate the LCM of 4512 and 4516.

LCM(4512,4516) = 25×31×471×11291
LCM(4512,4516) = 5094048

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 4516

List of positive integer factors of 4516 that divides 4516 without a remainder.

1, 2, 4, 1129, 2258, 4516

Least Common Multiple of 4512 and 4516 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 4516, than apply into the LCM equation.

GCF(4512,4516) = 4
LCM(4512,4516) = ( 4512 × 4516) / 4
LCM(4512,4516) = 20376192 / 4
LCM(4512,4516) = 5094048

Properties of LCM 4512 and 4516

(i) The LCM of 4516 and 4512 is associative

LCM of 4512 and 4516 = LCM of 4516 and 4512

Related Least Common Multiples of 4512

Related Least Common Multiples of 4516

Frequently Asked Questions on LCM of 4512 and 4516

1. What is the LCM of 4512 and 4516?

Answer: LCM of 4512 and 4516 is 5094048.

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 4516?

Answer: Factors of 4516 are 1, 2, 4, 1129, 2258, 4516. There are 6 integers that are factors of 4516. The greatest factor of 4516 is 4516.

4. How to Find the LCM of 4512 and 4516?

Answer:

Least Common Multiple of 4512 and 4516 = 5094048

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 4516

4516 = 2 x 2 x 1129

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

LCM = 5094048 = 2 x 2 x 2 x 2 x 2 x 3 x 47 x 1129

Step 4: Therefore, the least common multiple of 4512 and 4516 is 5094048.