Least Common Multiple of 9538 and 9544

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 9544 the smallest integer that is 45515336 that is divisible by both numbers.

Least Common Multiple (LCM) of 9538 and 9544 is 45515336.

LCM(9538,9544) = 45515336

LCM of 9538 and 9544

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

LCM of:
and

Least Common Multiple of 9538 and 9544

LCM of 9538 and 9544 is 45515336

Least common multiple can be found by multiplying the highest exponent prime factors of 9538 and 9544. First we will calculate the prime factors of 9538 and 9544.

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 9544


2 9544
2 4772
2 2386
1193 1193
1

Prime factors of 9544 are 2,1193. Prime factorization of 9544 in exponential form is:

9544 = 23×11931

Now multiplying the highest exponent prime factors to calculate the LCM of 9538 and 9544.

LCM(9538,9544) = 23×191×2511×11931
LCM(9538,9544) = 45515336

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 9544

List of positive integer factors of 9544 that divides 9544 without a remainder.

1, 2, 4, 8, 1193, 2386, 4772, 9544

Least Common Multiple of 9538 and 9544 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 9544, than apply into the LCM equation.

GCF(9538,9544) = 2
LCM(9538,9544) = ( 9538 × 9544) / 2
LCM(9538,9544) = 91030672 / 2
LCM(9538,9544) = 45515336

Properties of LCM 9538 and 9544

(i) The LCM of 9544 and 9538 is associative

LCM of 9538 and 9544 = LCM of 9544 and 9538

Related Least Common Multiples of 9538

Related Least Common Multiples of 9544

Frequently Asked Questions on LCM of 9538 and 9544

1. What is the LCM of 9538 and 9544?

Answer: LCM of 9538 and 9544 is 45515336.

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 9544?

Answer: Factors of 9544 are 1, 2, 4, 8, 1193, 2386, 4772, 9544. There are 8 integers that are factors of 9544. The greatest factor of 9544 is 9544.

4. How to Find the LCM of 9538 and 9544?

Answer:

Least Common Multiple of 9538 and 9544 = 45515336

Step 1: Find the prime factorization of 9538

9538 = 2 x 19 x 251

Step 2: Find the prime factorization of 9544

9544 = 2 x 2 x 2 x 1193

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

LCM = 45515336 = 2 x 2 x 2 x 19 x 251 x 1193

Step 4: Therefore, the least common multiple of 9538 and 9544 is 45515336.