Least Common Multiple of 9538 and 9545

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 9545 the smallest integer that is 91040210 that is divisible by both numbers.

Least Common Multiple (LCM) of 9538 and 9545 is 91040210.

LCM(9538,9545) = 91040210

LCM of 9538 and 9545

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

LCM of:
and

Least Common Multiple of 9538 and 9545

LCM of 9538 and 9545 is 91040210

Least common multiple can be found by multiplying the highest exponent prime factors of 9538 and 9545. First we will calculate the prime factors of 9538 and 9545.

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 9545


5 9545
23 1909
83 83
1

Prime factors of 9545 are 5, 23,83. Prime factorization of 9545 in exponential form is:

9545 = 51×231×831

Now multiplying the highest exponent prime factors to calculate the LCM of 9538 and 9545.

LCM(9538,9545) = 21×51×191×231×831×2511
LCM(9538,9545) = 91040210

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 9545

List of positive integer factors of 9545 that divides 9545 without a remainder.

1, 5, 23, 83, 115, 415, 1909, 9545

Least Common Multiple of 9538 and 9545 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 9545, than apply into the LCM equation.

GCF(9538,9545) = 1
LCM(9538,9545) = ( 9538 × 9545) / 1
LCM(9538,9545) = 91040210 / 1
LCM(9538,9545) = 91040210

Properties of LCM 9538 and 9545

(i) The LCM of 9545 and 9538 is associative

LCM of 9538 and 9545 = LCM of 9545 and 9538

Related Least Common Multiples of 9538

Related Least Common Multiples of 9545

Frequently Asked Questions on LCM of 9538 and 9545

1. What is the LCM of 9538 and 9545?

Answer: LCM of 9538 and 9545 is 91040210.

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 9545?

Answer: Factors of 9545 are 1, 5, 23, 83, 115, 415, 1909, 9545. There are 8 integers that are factors of 9545. The greatest factor of 9545 is 9545.

4. How to Find the LCM of 9538 and 9545?

Answer:

Least Common Multiple of 9538 and 9545 = 91040210

Step 1: Find the prime factorization of 9538

9538 = 2 x 19 x 251

Step 2: Find the prime factorization of 9545

9545 = 5 x 23 x 83

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

LCM = 91040210 = 2 x 5 x 19 x 23 x 83 x 251

Step 4: Therefore, the least common multiple of 9538 and 9545 is 91040210.