Least Common Multiple of 4508 and 4516

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4508 and 4516 the smallest integer that is 5089532 that is divisible by both numbers.

Least Common Multiple (LCM) of 4508 and 4516 is 5089532.

LCM(4508,4516) = 5089532

LCM of 4508 and 4516

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

LCM of:
and

Least Common Multiple of 4508 and 4516

LCM of 4508 and 4516 is 5089532

Least common multiple can be found by multiplying the highest exponent prime factors of 4508 and 4516. First we will calculate the prime factors of 4508 and 4516.

Prime Factorization of 4508


2 4508
2 2254
7 1127
7 161
23 23
1

Prime factors of 4508 are 2, 7,23. Prime factorization of 4508 in exponential form is:

4508 = 22×72×231

Prime Factorization of 4516


2 4516
2 2258
1129 1129
1

Prime factors of 4516 are 2,1129. Prime factorization of 4516 in exponential form is:

4516 = 22×11291

Now multiplying the highest exponent prime factors to calculate the LCM of 4508 and 4516.

LCM(4508,4516) = 22×72×231×11291
LCM(4508,4516) = 5089532

Factors of 4508

List of positive integer factors of 4508 that divides 4508 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 49, 92, 98, 161, 196, 322, 644, 1127, 2254, 4508

Factors of 4516

List of positive integer factors of 4516 that divides 4516 without a remainder.

1, 2, 4, 1129, 2258, 4516

Least Common Multiple of 4508 and 4516 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4508 and 4516, than apply into the LCM equation.

GCF(4508,4516) = 4
LCM(4508,4516) = ( 4508 × 4516) / 4
LCM(4508,4516) = 20358128 / 4
LCM(4508,4516) = 5089532

Properties of LCM 4508 and 4516

(i) The LCM of 4516 and 4508 is associative

LCM of 4508 and 4516 = LCM of 4516 and 4508

Related Least Common Multiples of 4508

Related Least Common Multiples of 4516

Frequently Asked Questions on LCM of 4508 and 4516

1. What is the LCM of 4508 and 4516?

Answer: LCM of 4508 and 4516 is 5089532.

2. What are the Factors of 4508?

Answer: Factors of 4508 are 1, 2, 4, 7, 14, 23, 28, 46, 49, 92, 98, 161, 196, 322, 644, 1127, 2254, 4508. There are 18 integers that are factors of 4508. The greatest factor of 4508 is 4508.

3. What are the Factors of 4516?

Answer: Factors of 4516 are 1, 2, 4, 1129, 2258, 4516. There are 6 integers that are factors of 4516. The greatest factor of 4516 is 4516.

4. How to Find the LCM of 4508 and 4516?

Answer:

Least Common Multiple of 4508 and 4516 = 5089532

Step 1: Find the prime factorization of 4508

4508 = 2 x 2 x 7 x 7 x 23

Step 2: Find the prime factorization of 4516

4516 = 2 x 2 x 1129

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

LCM = 5089532 = 2 x 2 x 7 x 7 x 23 x 1129

Step 4: Therefore, the least common multiple of 4508 and 4516 is 5089532.