Least Common Multiple of 4550 and 4558

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4550 and 4558 the smallest integer that is 10369450 that is divisible by both numbers.

Least Common Multiple (LCM) of 4550 and 4558 is 10369450.

LCM(4550,4558) = 10369450

LCM of 4550 and 4558

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

LCM of:
and

Least Common Multiple of 4550 and 4558

LCM of 4550 and 4558 is 10369450

Least common multiple can be found by multiplying the highest exponent prime factors of 4550 and 4558. First we will calculate the prime factors of 4550 and 4558.

Prime Factorization of 4550


2 4550
5 2275
5 455
7 91
13 13
1

Prime factors of 4550 are 2, 5, 7,13. Prime factorization of 4550 in exponential form is:

4550 = 21×52×71×131

Prime Factorization of 4558


2 4558
43 2279
53 53
1

Prime factors of 4558 are 2, 43,53. Prime factorization of 4558 in exponential form is:

4558 = 21×431×531

Now multiplying the highest exponent prime factors to calculate the LCM of 4550 and 4558.

LCM(4550,4558) = 21×52×71×131×431×531
LCM(4550,4558) = 10369450

Factors of 4550

List of positive integer factors of 4550 that divides 4550 without a remainder.

1, 2, 5, 7, 10, 13, 14, 25, 26, 35, 50, 65, 70, 91, 130, 175, 182, 325, 350, 455, 650, 910, 2275, 4550

Factors of 4558

List of positive integer factors of 4558 that divides 4558 without a remainder.

1, 2, 43, 53, 86, 106, 2279, 4558

Least Common Multiple of 4550 and 4558 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4550 and 4558, than apply into the LCM equation.

GCF(4550,4558) = 2
LCM(4550,4558) = ( 4550 × 4558) / 2
LCM(4550,4558) = 20738900 / 2
LCM(4550,4558) = 10369450

Properties of LCM 4550 and 4558

(i) The LCM of 4558 and 4550 is associative

LCM of 4550 and 4558 = LCM of 4558 and 4550

Related Least Common Multiples of 4550

Related Least Common Multiples of 4558

Frequently Asked Questions on LCM of 4550 and 4558

1. What is the LCM of 4550 and 4558?

Answer: LCM of 4550 and 4558 is 10369450.

2. What are the Factors of 4550?

Answer: Factors of 4550 are 1, 2, 5, 7, 10, 13, 14, 25, 26, 35, 50, 65, 70, 91, 130, 175, 182, 325, 350, 455, 650, 910, 2275, 4550. There are 24 integers that are factors of 4550. The greatest factor of 4550 is 4550.

3. What are the Factors of 4558?

Answer: Factors of 4558 are 1, 2, 43, 53, 86, 106, 2279, 4558. There are 8 integers that are factors of 4558. The greatest factor of 4558 is 4558.

4. How to Find the LCM of 4550 and 4558?

Answer:

Least Common Multiple of 4550 and 4558 = 10369450

Step 1: Find the prime factorization of 4550

4550 = 2 x 5 x 5 x 7 x 13

Step 2: Find the prime factorization of 4558

4558 = 2 x 43 x 53

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

LCM = 10369450 = 2 x 5 x 5 x 7 x 13 x 43 x 53

Step 4: Therefore, the least common multiple of 4550 and 4558 is 10369450.