Least Common Multiple of 9550 and 9556

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9550 and 9556 the smallest integer that is 45629900 that is divisible by both numbers.

Least Common Multiple (LCM) of 9550 and 9556 is 45629900.

LCM(9550,9556) = 45629900

LCM of 9550 and 9556

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

LCM of:
and

Least Common Multiple of 9550 and 9556

LCM of 9550 and 9556 is 45629900

Least common multiple can be found by multiplying the highest exponent prime factors of 9550 and 9556. First we will calculate the prime factors of 9550 and 9556.

Prime Factorization of 9550


2 9550
5 4775
5 955
191 191
1

Prime factors of 9550 are 2, 5,191. Prime factorization of 9550 in exponential form is:

9550 = 21×52×1911

Prime Factorization of 9556


2 9556
2 4778
2389 2389
1

Prime factors of 9556 are 2,2389. Prime factorization of 9556 in exponential form is:

9556 = 22×23891

Now multiplying the highest exponent prime factors to calculate the LCM of 9550 and 9556.

LCM(9550,9556) = 22×52×1911×23891
LCM(9550,9556) = 45629900

Factors of 9550

List of positive integer factors of 9550 that divides 9550 without a remainder.

1, 2, 5, 10, 25, 50, 191, 382, 955, 1910, 4775, 9550

Factors of 9556

List of positive integer factors of 9556 that divides 9556 without a remainder.

1, 2, 4, 2389, 4778, 9556

Least Common Multiple of 9550 and 9556 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9550 and 9556, than apply into the LCM equation.

GCF(9550,9556) = 2
LCM(9550,9556) = ( 9550 × 9556) / 2
LCM(9550,9556) = 91259800 / 2
LCM(9550,9556) = 45629900

Properties of LCM 9550 and 9556

(i) The LCM of 9556 and 9550 is associative

LCM of 9550 and 9556 = LCM of 9556 and 9550

Related Least Common Multiples of 9550

Related Least Common Multiples of 9556

Frequently Asked Questions on LCM of 9550 and 9556

1. What is the LCM of 9550 and 9556?

Answer: LCM of 9550 and 9556 is 45629900.

2. What are the Factors of 9550?

Answer: Factors of 9550 are 1, 2, 5, 10, 25, 50, 191, 382, 955, 1910, 4775, 9550. There are 12 integers that are factors of 9550. The greatest factor of 9550 is 9550.

3. What are the Factors of 9556?

Answer: Factors of 9556 are 1, 2, 4, 2389, 4778, 9556. There are 6 integers that are factors of 9556. The greatest factor of 9556 is 9556.

4. How to Find the LCM of 9550 and 9556?

Answer:

Least Common Multiple of 9550 and 9556 = 45629900

Step 1: Find the prime factorization of 9550

9550 = 2 x 5 x 5 x 191

Step 2: Find the prime factorization of 9556

9556 = 2 x 2 x 2389

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

LCM = 45629900 = 2 x 2 x 5 x 5 x 191 x 2389

Step 4: Therefore, the least common multiple of 9550 and 9556 is 45629900.