Least Common Multiple of 9542 and 9550

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9542 and 9550 the smallest integer that is 45563050 that is divisible by both numbers.

Least Common Multiple (LCM) of 9542 and 9550 is 45563050.

LCM(9542,9550) = 45563050

LCM of 9542 and 9550

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

LCM of:
and

Least Common Multiple of 9542 and 9550

LCM of 9542 and 9550 is 45563050

Least common multiple can be found by multiplying the highest exponent prime factors of 9542 and 9550. First we will calculate the prime factors of 9542 and 9550.

Prime Factorization of 9542


2 9542
13 4771
367 367
1

Prime factors of 9542 are 2, 13,367. Prime factorization of 9542 in exponential form is:

9542 = 21×131×3671

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9542 and 9550.

LCM(9542,9550) = 21×52×131×1911×3671
LCM(9542,9550) = 45563050

Factors of 9542

List of positive integer factors of 9542 that divides 9542 without a remainder.

1, 2, 13, 26, 367, 734, 4771, 9542

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

Least Common Multiple of 9542 and 9550 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9542 and 9550, than apply into the LCM equation.

GCF(9542,9550) = 2
LCM(9542,9550) = ( 9542 × 9550) / 2
LCM(9542,9550) = 91126100 / 2
LCM(9542,9550) = 45563050

Properties of LCM 9542 and 9550

(i) The LCM of 9550 and 9542 is associative

LCM of 9542 and 9550 = LCM of 9550 and 9542

Related Least Common Multiples of 9542

Related Least Common Multiples of 9550

Frequently Asked Questions on LCM of 9542 and 9550

1. What is the LCM of 9542 and 9550?

Answer: LCM of 9542 and 9550 is 45563050.

2. What are the Factors of 9542?

Answer: Factors of 9542 are 1, 2, 13, 26, 367, 734, 4771, 9542. There are 8 integers that are factors of 9542. The greatest factor of 9542 is 9542.

3. 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.

4. How to Find the LCM of 9542 and 9550?

Answer:

Least Common Multiple of 9542 and 9550 = 45563050

Step 1: Find the prime factorization of 9542

9542 = 2 x 13 x 367

Step 2: Find the prime factorization of 9550

9550 = 2 x 5 x 5 x 191

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

LCM = 45563050 = 2 x 5 x 5 x 13 x 191 x 367

Step 4: Therefore, the least common multiple of 9542 and 9550 is 45563050.