Least Common Multiple of 4550 and 4552

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 4552 the smallest integer that is 10355800 that is divisible by both numbers.

Least Common Multiple (LCM) of 4550 and 4552 is 10355800.

LCM(4550,4552) = 10355800

LCM of 4550 and 4552

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

LCM of:
and

Least Common Multiple of 4550 and 4552

LCM of 4550 and 4552 is 10355800

Least common multiple can be found by multiplying the highest exponent prime factors of 4550 and 4552. First we will calculate the prime factors of 4550 and 4552.

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 4552


2 4552
2 2276
2 1138
569 569
1

Prime factors of 4552 are 2,569. Prime factorization of 4552 in exponential form is:

4552 = 23×5691

Now multiplying the highest exponent prime factors to calculate the LCM of 4550 and 4552.

LCM(4550,4552) = 23×52×71×131×5691
LCM(4550,4552) = 10355800

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 4552

List of positive integer factors of 4552 that divides 4552 without a remainder.

1, 2, 4, 8, 569, 1138, 2276, 4552

Least Common Multiple of 4550 and 4552 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 4552, than apply into the LCM equation.

GCF(4550,4552) = 2
LCM(4550,4552) = ( 4550 × 4552) / 2
LCM(4550,4552) = 20711600 / 2
LCM(4550,4552) = 10355800

Properties of LCM 4550 and 4552

(i) The LCM of 4552 and 4550 is associative

LCM of 4550 and 4552 = LCM of 4552 and 4550

Related Least Common Multiples of 4550

Related Least Common Multiples of 4552

Frequently Asked Questions on LCM of 4550 and 4552

1. What is the LCM of 4550 and 4552?

Answer: LCM of 4550 and 4552 is 10355800.

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 4552?

Answer: Factors of 4552 are 1, 2, 4, 8, 569, 1138, 2276, 4552. There are 8 integers that are factors of 4552. The greatest factor of 4552 is 4552.

4. How to Find the LCM of 4550 and 4552?

Answer:

Least Common Multiple of 4550 and 4552 = 10355800

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 4552

4552 = 2 x 2 x 2 x 569

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

LCM = 10355800 = 2 x 2 x 2 x 5 x 5 x 7 x 13 x 569

Step 4: Therefore, the least common multiple of 4550 and 4552 is 10355800.