Least Common Multiple of 9538 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 9538 and 9546 the smallest integer that is 45524874 that is divisible by both numbers.

Least Common Multiple (LCM) of 9538 and 9546 is 45524874.

LCM(9538,9546) = 45524874

LCM of 9538 and 9546

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

LCM of:
and

Least Common Multiple of 9538 and 9546

LCM of 9538 and 9546 is 45524874

Least common multiple can be found by multiplying the highest exponent prime factors of 9538 and 9546. First we will calculate the prime factors of 9538 and 9546.

Prime Factorization of 9538


2 9538
19 4769
251 251
1

Prime factors of 9538 are 2, 19,251. Prime factorization of 9538 in exponential form is:

9538 = 21×191×2511

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 9538 and 9546.

LCM(9538,9546) = 21×31×191×371×431×2511
LCM(9538,9546) = 45524874

Factors of 9538

List of positive integer factors of 9538 that divides 9538 without a remainder.

1, 2, 19, 38, 251, 502, 4769, 9538

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 9538 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 9538 and 9546, than apply into the LCM equation.

GCF(9538,9546) = 2
LCM(9538,9546) = ( 9538 × 9546) / 2
LCM(9538,9546) = 91049748 / 2
LCM(9538,9546) = 45524874

Properties of LCM 9538 and 9546

(i) The LCM of 9546 and 9538 is associative

LCM of 9538 and 9546 = LCM of 9546 and 9538

Related Least Common Multiples of 9538

Related Least Common Multiples of 9546

Frequently Asked Questions on LCM of 9538 and 9546

1. What is the LCM of 9538 and 9546?

Answer: LCM of 9538 and 9546 is 45524874.

2. What are the Factors of 9538?

Answer: Factors of 9538 are 1, 2, 19, 38, 251, 502, 4769, 9538. There are 8 integers that are factors of 9538. The greatest factor of 9538 is 9538.

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 9538 and 9546?

Answer:

Least Common Multiple of 9538 and 9546 = 45524874

Step 1: Find the prime factorization of 9538

9538 = 2 x 19 x 251

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 = 45524874 = 2 x 3 x 19 x 37 x 43 x 251

Step 4: Therefore, the least common multiple of 9538 and 9546 is 45524874.