Least Common Multiple of 4506 and 4510

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 4510 the smallest integer that is 10161030 that is divisible by both numbers.

Least Common Multiple (LCM) of 4506 and 4510 is 10161030.

LCM(4506,4510) = 10161030

LCM of 4506 and 4510

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

LCM of:
and

Least Common Multiple of 4506 and 4510

LCM of 4506 and 4510 is 10161030

Least common multiple can be found by multiplying the highest exponent prime factors of 4506 and 4510. First we will calculate the prime factors of 4506 and 4510.

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 4510


2 4510
5 2255
11 451
41 41
1

Prime factors of 4510 are 2, 5, 11,41. Prime factorization of 4510 in exponential form is:

4510 = 21×51×111×411

Now multiplying the highest exponent prime factors to calculate the LCM of 4506 and 4510.

LCM(4506,4510) = 21×31×51×111×411×7511
LCM(4506,4510) = 10161030

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 4510

List of positive integer factors of 4510 that divides 4510 without a remainder.

1, 2, 5, 10, 11, 22, 41, 55, 82, 110, 205, 410, 451, 902, 2255, 4510

Least Common Multiple of 4506 and 4510 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 4510, than apply into the LCM equation.

GCF(4506,4510) = 2
LCM(4506,4510) = ( 4506 × 4510) / 2
LCM(4506,4510) = 20322060 / 2
LCM(4506,4510) = 10161030

Properties of LCM 4506 and 4510

(i) The LCM of 4510 and 4506 is associative

LCM of 4506 and 4510 = LCM of 4510 and 4506

Related Least Common Multiples of 4506

Related Least Common Multiples of 4510

Frequently Asked Questions on LCM of 4506 and 4510

1. What is the LCM of 4506 and 4510?

Answer: LCM of 4506 and 4510 is 10161030.

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 4510?

Answer: Factors of 4510 are 1, 2, 5, 10, 11, 22, 41, 55, 82, 110, 205, 410, 451, 902, 2255, 4510. There are 16 integers that are factors of 4510. The greatest factor of 4510 is 4510.

4. How to Find the LCM of 4506 and 4510?

Answer:

Least Common Multiple of 4506 and 4510 = 10161030

Step 1: Find the prime factorization of 4506

4506 = 2 x 3 x 751

Step 2: Find the prime factorization of 4510

4510 = 2 x 5 x 11 x 41

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

LCM = 10161030 = 2 x 3 x 5 x 11 x 41 x 751

Step 4: Therefore, the least common multiple of 4506 and 4510 is 10161030.