Least Common Multiple of 4506 and 4514

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 4514 the smallest integer that is 10170042 that is divisible by both numbers.

Least Common Multiple (LCM) of 4506 and 4514 is 10170042.

LCM(4506,4514) = 10170042

LCM of 4506 and 4514

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

LCM of:
and

Least Common Multiple of 4506 and 4514

LCM of 4506 and 4514 is 10170042

Least common multiple can be found by multiplying the highest exponent prime factors of 4506 and 4514. First we will calculate the prime factors of 4506 and 4514.

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 4514


2 4514
37 2257
61 61
1

Prime factors of 4514 are 2, 37,61. Prime factorization of 4514 in exponential form is:

4514 = 21×371×611

Now multiplying the highest exponent prime factors to calculate the LCM of 4506 and 4514.

LCM(4506,4514) = 21×31×371×611×7511
LCM(4506,4514) = 10170042

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 4514

List of positive integer factors of 4514 that divides 4514 without a remainder.

1, 2, 37, 61, 74, 122, 2257, 4514

Least Common Multiple of 4506 and 4514 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 4514, than apply into the LCM equation.

GCF(4506,4514) = 2
LCM(4506,4514) = ( 4506 × 4514) / 2
LCM(4506,4514) = 20340084 / 2
LCM(4506,4514) = 10170042

Properties of LCM 4506 and 4514

(i) The LCM of 4514 and 4506 is associative

LCM of 4506 and 4514 = LCM of 4514 and 4506

Frequently Asked Questions on LCM of 4506 and 4514

1. What is the LCM of 4506 and 4514?

Answer: LCM of 4506 and 4514 is 10170042.

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 4514?

Answer: Factors of 4514 are 1, 2, 37, 61, 74, 122, 2257, 4514. There are 8 integers that are factors of 4514. The greatest factor of 4514 is 4514.

4. How to Find the LCM of 4506 and 4514?

Answer:

Least Common Multiple of 4506 and 4514 = 10170042

Step 1: Find the prime factorization of 4506

4506 = 2 x 3 x 751

Step 2: Find the prime factorization of 4514

4514 = 2 x 37 x 61

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

LCM = 10170042 = 2 x 3 x 37 x 61 x 751

Step 4: Therefore, the least common multiple of 4506 and 4514 is 10170042.