Least Common Multiple of 4514 and 4520

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4514 and 4520 the smallest integer that is 10201640 that is divisible by both numbers.

Least Common Multiple (LCM) of 4514 and 4520 is 10201640.

LCM(4514,4520) = 10201640

LCM of 4514 and 4520

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

LCM of:
and

Least Common Multiple of 4514 and 4520

LCM of 4514 and 4520 is 10201640

Least common multiple can be found by multiplying the highest exponent prime factors of 4514 and 4520. First we will calculate the prime factors of 4514 and 4520.

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

Prime Factorization of 4520


2 4520
2 2260
2 1130
5 565
113 113
1

Prime factors of 4520 are 2, 5,113. Prime factorization of 4520 in exponential form is:

4520 = 23×51×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 4514 and 4520.

LCM(4514,4520) = 23×51×371×611×1131
LCM(4514,4520) = 10201640

Factors of 4514

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

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

Factors of 4520

List of positive integer factors of 4520 that divides 4520 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 113, 226, 452, 565, 904, 1130, 2260, 4520

Least Common Multiple of 4514 and 4520 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4514 and 4520, than apply into the LCM equation.

GCF(4514,4520) = 2
LCM(4514,4520) = ( 4514 × 4520) / 2
LCM(4514,4520) = 20403280 / 2
LCM(4514,4520) = 10201640

Properties of LCM 4514 and 4520

(i) The LCM of 4520 and 4514 is associative

LCM of 4514 and 4520 = LCM of 4520 and 4514

Related Least Common Multiples of 4514

Related Least Common Multiples of 4520

Frequently Asked Questions on LCM of 4514 and 4520

1. What is the LCM of 4514 and 4520?

Answer: LCM of 4514 and 4520 is 10201640.

2. 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.

3. What are the Factors of 4520?

Answer: Factors of 4520 are 1, 2, 4, 5, 8, 10, 20, 40, 113, 226, 452, 565, 904, 1130, 2260, 4520. There are 16 integers that are factors of 4520. The greatest factor of 4520 is 4520.

4. How to Find the LCM of 4514 and 4520?

Answer:

Least Common Multiple of 4514 and 4520 = 10201640

Step 1: Find the prime factorization of 4514

4514 = 2 x 37 x 61

Step 2: Find the prime factorization of 4520

4520 = 2 x 2 x 2 x 5 x 113

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

LCM = 10201640 = 2 x 2 x 2 x 5 x 37 x 61 x 113

Step 4: Therefore, the least common multiple of 4514 and 4520 is 10201640.