Least Common Multiple of 4507 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 4507 and 4512 the smallest integer that is 20335584 that is divisible by both numbers.

Least Common Multiple (LCM) of 4507 and 4512 is 20335584.

LCM(4507,4512) = 20335584

LCM of 4507 and 4512

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

LCM of:
and

Least Common Multiple of 4507 and 4512

LCM of 4507 and 4512 is 20335584

Least common multiple can be found by multiplying the highest exponent prime factors of 4507 and 4512. First we will calculate the prime factors of 4507 and 4512.

Prime Factorization of 4507


4507 4507
1

Prime factors of 4507 are 4507. Prime factorization of 4507 in exponential form is:

4507 = 45071

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 4507 and 4512.

LCM(4507,4512) = 25×31×471×45071
LCM(4507,4512) = 20335584

Factors of 4507

List of positive integer factors of 4507 that divides 4507 without a remainder.

1, 4507

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 4507 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 4507 and 4512, than apply into the LCM equation.

GCF(4507,4512) = 1
LCM(4507,4512) = ( 4507 × 4512) / 1
LCM(4507,4512) = 20335584 / 1
LCM(4507,4512) = 20335584

Properties of LCM 4507 and 4512

(i) The LCM of 4512 and 4507 is associative

LCM of 4507 and 4512 = LCM of 4512 and 4507

Related Least Common Multiples of 4507

Related Least Common Multiples of 4512

Frequently Asked Questions on LCM of 4507 and 4512

1. What is the LCM of 4507 and 4512?

Answer: LCM of 4507 and 4512 is 20335584.

2. What are the Factors of 4507?

Answer: Factors of 4507 are 1, 4507. There are 2 integers that are factors of 4507. The greatest factor of 4507 is 4507.

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 4507 and 4512?

Answer:

Least Common Multiple of 4507 and 4512 = 20335584

Step 1: Find the prime factorization of 4507

4507 = 4507

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 = 20335584 = 2 x 2 x 2 x 2 x 2 x 3 x 47 x 4507

Step 4: Therefore, the least common multiple of 4507 and 4512 is 20335584.