Least Common Multiple of 9546 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 9546 and 9550 the smallest integer that is 45582150 that is divisible by both numbers.

Least Common Multiple (LCM) of 9546 and 9550 is 45582150.

LCM(9546,9550) = 45582150

LCM of 9546 and 9550

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

LCM of:
and

Least Common Multiple of 9546 and 9550

LCM of 9546 and 9550 is 45582150

Least common multiple can be found by multiplying the highest exponent prime factors of 9546 and 9550. First we will calculate the prime factors of 9546 and 9550.

Prime Factorization of 9546


2 9546
3 4773
37 1591
43 43
1

Prime factors of 9546 are 2, 3, 37,43. Prime factorization of 9546 in exponential form is:

9546 = 21×31×371×431

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 9546 and 9550.

LCM(9546,9550) = 21×31×52×371×431×1911
LCM(9546,9550) = 45582150

Factors of 9546

List of positive integer factors of 9546 that divides 9546 without a remainder.

1, 2, 3, 6, 37, 43, 74, 86, 111, 129, 222, 258, 1591, 3182, 4773, 9546

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 9546 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 9546 and 9550, than apply into the LCM equation.

GCF(9546,9550) = 2
LCM(9546,9550) = ( 9546 × 9550) / 2
LCM(9546,9550) = 91164300 / 2
LCM(9546,9550) = 45582150

Properties of LCM 9546 and 9550

(i) The LCM of 9550 and 9546 is associative

LCM of 9546 and 9550 = LCM of 9550 and 9546

Related Least Common Multiples of 9546

Related Least Common Multiples of 9550

Frequently Asked Questions on LCM of 9546 and 9550

1. What is the LCM of 9546 and 9550?

Answer: LCM of 9546 and 9550 is 45582150.

2. What are the Factors of 9546?

Answer: Factors of 9546 are 1, 2, 3, 6, 37, 43, 74, 86, 111, 129, 222, 258, 1591, 3182, 4773, 9546. There are 16 integers that are factors of 9546. The greatest factor of 9546 is 9546.

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 9546 and 9550?

Answer:

Least Common Multiple of 9546 and 9550 = 45582150

Step 1: Find the prime factorization of 9546

9546 = 2 x 3 x 37 x 43

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 = 45582150 = 2 x 3 x 5 x 5 x 37 x 43 x 191

Step 4: Therefore, the least common multiple of 9546 and 9550 is 45582150.