Least Common Multiple of 4505 and 4512

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4505 and 4512 the smallest integer that is 20326560 that is divisible by both numbers.

Least Common Multiple (LCM) of 4505 and 4512 is 20326560.

LCM(4505,4512) = 20326560

LCM of 4505 and 4512

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

LCM of:
and

Least Common Multiple of 4505 and 4512

LCM of 4505 and 4512 is 20326560

Least common multiple can be found by multiplying the highest exponent prime factors of 4505 and 4512. First we will calculate the prime factors of 4505 and 4512.

Prime Factorization of 4505


5 4505
17 901
53 53
1

Prime factors of 4505 are 5, 17,53. Prime factorization of 4505 in exponential form is:

4505 = 51×171×531

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4505 and 4512.

LCM(4505,4512) = 25×31×51×171×471×531
LCM(4505,4512) = 20326560

Factors of 4505

List of positive integer factors of 4505 that divides 4505 without a remainder.

1, 5, 17, 53, 85, 265, 901, 4505

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

Least Common Multiple of 4505 and 4512 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4505 and 4512, than apply into the LCM equation.

GCF(4505,4512) = 1
LCM(4505,4512) = ( 4505 × 4512) / 1
LCM(4505,4512) = 20326560 / 1
LCM(4505,4512) = 20326560

Properties of LCM 4505 and 4512

(i) The LCM of 4512 and 4505 is associative

LCM of 4505 and 4512 = LCM of 4512 and 4505

Related Least Common Multiples of 4505

Related Least Common Multiples of 4512

Frequently Asked Questions on LCM of 4505 and 4512

1. What is the LCM of 4505 and 4512?

Answer: LCM of 4505 and 4512 is 20326560.

2. What are the Factors of 4505?

Answer: Factors of 4505 are 1, 5, 17, 53, 85, 265, 901, 4505. There are 8 integers that are factors of 4505. The greatest factor of 4505 is 4505.

3. 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.

4. How to Find the LCM of 4505 and 4512?

Answer:

Least Common Multiple of 4505 and 4512 = 20326560

Step 1: Find the prime factorization of 4505

4505 = 5 x 17 x 53

Step 2: Find the prime factorization of 4512

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

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

LCM = 20326560 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 17 x 47 x 53

Step 4: Therefore, the least common multiple of 4505 and 4512 is 20326560.