Least Common Multiple of 4506 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 4506 and 4512 the smallest integer that is 3388512 that is divisible by both numbers.

Least Common Multiple (LCM) of 4506 and 4512 is 3388512.

LCM(4506,4512) = 3388512

LCM of 4506 and 4512

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

LCM of:
and

Least Common Multiple of 4506 and 4512

LCM of 4506 and 4512 is 3388512

Least common multiple can be found by multiplying the highest exponent prime factors of 4506 and 4512. First we will calculate the prime factors of 4506 and 4512.

Prime Factorization of 4506


2 4506
3 2253
751 751
1

Prime factors of 4506 are 2, 3,751. Prime factorization of 4506 in exponential form is:

4506 = 21×31×7511

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 4506 and 4512.

LCM(4506,4512) = 25×31×471×7511
LCM(4506,4512) = 3388512

Factors of 4506

List of positive integer factors of 4506 that divides 4506 without a remainder.

1, 2, 3, 6, 751, 1502, 2253, 4506

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 4506 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 4506 and 4512, than apply into the LCM equation.

GCF(4506,4512) = 6
LCM(4506,4512) = ( 4506 × 4512) / 6
LCM(4506,4512) = 20331072 / 6
LCM(4506,4512) = 3388512

Properties of LCM 4506 and 4512

(i) The LCM of 4512 and 4506 is associative

LCM of 4506 and 4512 = LCM of 4512 and 4506

Related Least Common Multiples of 4506

Related Least Common Multiples of 4512

Frequently Asked Questions on LCM of 4506 and 4512

1. What is the LCM of 4506 and 4512?

Answer: LCM of 4506 and 4512 is 3388512.

2. What are the Factors of 4506?

Answer: Factors of 4506 are 1, 2, 3, 6, 751, 1502, 2253, 4506. There are 8 integers that are factors of 4506. The greatest factor of 4506 is 4506.

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 4506 and 4512?

Answer:

Least Common Multiple of 4506 and 4512 = 3388512

Step 1: Find the prime factorization of 4506

4506 = 2 x 3 x 751

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 = 3388512 = 2 x 2 x 2 x 2 x 2 x 3 x 47 x 751

Step 4: Therefore, the least common multiple of 4506 and 4512 is 3388512.