Least Common Multiple of 9542 and 9546

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 9546 the smallest integer that is 45543966 that is divisible by both numbers.

Least Common Multiple (LCM) of 9542 and 9546 is 45543966.

LCM(9542,9546) = 45543966

LCM of 9542 and 9546

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

LCM of:
and

Least Common Multiple of 9542 and 9546

LCM of 9542 and 9546 is 45543966

Least common multiple can be found by multiplying the highest exponent prime factors of 9542 and 9546. First we will calculate the prime factors of 9542 and 9546.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 9542 and 9546.

LCM(9542,9546) = 21×31×131×371×431×3671
LCM(9542,9546) = 45543966

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 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

Least Common Multiple of 9542 and 9546 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 9546, than apply into the LCM equation.

GCF(9542,9546) = 2
LCM(9542,9546) = ( 9542 × 9546) / 2
LCM(9542,9546) = 91087932 / 2
LCM(9542,9546) = 45543966

Properties of LCM 9542 and 9546

(i) The LCM of 9546 and 9542 is associative

LCM of 9542 and 9546 = LCM of 9546 and 9542

Related Least Common Multiples of 9542

Related Least Common Multiples of 9546

Frequently Asked Questions on LCM of 9542 and 9546

1. What is the LCM of 9542 and 9546?

Answer: LCM of 9542 and 9546 is 45543966.

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 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.

4. How to Find the LCM of 9542 and 9546?

Answer:

Least Common Multiple of 9542 and 9546 = 45543966

Step 1: Find the prime factorization of 9542

9542 = 2 x 13 x 367

Step 2: Find the prime factorization of 9546

9546 = 2 x 3 x 37 x 43

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

LCM = 45543966 = 2 x 3 x 13 x 37 x 43 x 367

Step 4: Therefore, the least common multiple of 9542 and 9546 is 45543966.