Least Common Multiple of 4550 and 4554

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 4554 the smallest integer that is 10360350 that is divisible by both numbers.

Least Common Multiple (LCM) of 4550 and 4554 is 10360350.

LCM(4550,4554) = 10360350

LCM of 4550 and 4554

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

LCM of:
and

Least Common Multiple of 4550 and 4554

LCM of 4550 and 4554 is 10360350

Least common multiple can be found by multiplying the highest exponent prime factors of 4550 and 4554. First we will calculate the prime factors of 4550 and 4554.

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 4554


2 4554
3 2277
3 759
11 253
23 23
1

Prime factors of 4554 are 2, 3, 11,23. Prime factorization of 4554 in exponential form is:

4554 = 21×32×111×231

Now multiplying the highest exponent prime factors to calculate the LCM of 4550 and 4554.

LCM(4550,4554) = 21×32×52×71×111×131×231
LCM(4550,4554) = 10360350

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 4554

List of positive integer factors of 4554 that divides 4554 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 23, 33, 46, 66, 69, 99, 138, 198, 207, 253, 414, 506, 759, 1518, 2277, 4554

Least Common Multiple of 4550 and 4554 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 4554, than apply into the LCM equation.

GCF(4550,4554) = 2
LCM(4550,4554) = ( 4550 × 4554) / 2
LCM(4550,4554) = 20720700 / 2
LCM(4550,4554) = 10360350

Properties of LCM 4550 and 4554

(i) The LCM of 4554 and 4550 is associative

LCM of 4550 and 4554 = LCM of 4554 and 4550

Related Least Common Multiples of 4550

Related Least Common Multiples of 4554

Frequently Asked Questions on LCM of 4550 and 4554

1. What is the LCM of 4550 and 4554?

Answer: LCM of 4550 and 4554 is 10360350.

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 4554?

Answer: Factors of 4554 are 1, 2, 3, 6, 9, 11, 18, 22, 23, 33, 46, 66, 69, 99, 138, 198, 207, 253, 414, 506, 759, 1518, 2277, 4554. There are 24 integers that are factors of 4554. The greatest factor of 4554 is 4554.

4. How to Find the LCM of 4550 and 4554?

Answer:

Least Common Multiple of 4550 and 4554 = 10360350

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 4554

4554 = 2 x 3 x 3 x 11 x 23

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

LCM = 10360350 = 2 x 3 x 3 x 5 x 5 x 7 x 11 x 13 x 23

Step 4: Therefore, the least common multiple of 4550 and 4554 is 10360350.