Least Common Multiple of 9487 and 9495

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9487 and 9495 the smallest integer that is 90079065 that is divisible by both numbers.

Least Common Multiple (LCM) of 9487 and 9495 is 90079065.

LCM(9487,9495) = 90079065

LCM of 9487 and 9495

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

LCM of:
and

Least Common Multiple of 9487 and 9495

LCM of 9487 and 9495 is 90079065

Least common multiple can be found by multiplying the highest exponent prime factors of 9487 and 9495. First we will calculate the prime factors of 9487 and 9495.

Prime Factorization of 9487


53 9487
179 179
1

Prime factors of 9487 are 53,179. Prime factorization of 9487 in exponential form is:

9487 = 531×1791

Prime Factorization of 9495


3 9495
3 3165
5 1055
211 211
1

Prime factors of 9495 are 3, 5,211. Prime factorization of 9495 in exponential form is:

9495 = 32×51×2111

Now multiplying the highest exponent prime factors to calculate the LCM of 9487 and 9495.

LCM(9487,9495) = 32×51×531×1791×2111
LCM(9487,9495) = 90079065

Factors of 9487

List of positive integer factors of 9487 that divides 9487 without a remainder.

1, 53, 179, 9487

Factors of 9495

List of positive integer factors of 9495 that divides 9495 without a remainder.

1, 3, 5, 9, 15, 45, 211, 633, 1055, 1899, 3165, 9495

Least Common Multiple of 9487 and 9495 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9487 and 9495, than apply into the LCM equation.

GCF(9487,9495) = 1
LCM(9487,9495) = ( 9487 × 9495) / 1
LCM(9487,9495) = 90079065 / 1
LCM(9487,9495) = 90079065

Properties of LCM 9487 and 9495

(i) The LCM of 9495 and 9487 is associative

LCM of 9487 and 9495 = LCM of 9495 and 9487

Related Least Common Multiples of 9487

Related Least Common Multiples of 9495

Frequently Asked Questions on LCM of 9487 and 9495

1. What is the LCM of 9487 and 9495?

Answer: LCM of 9487 and 9495 is 90079065.

2. What are the Factors of 9487?

Answer: Factors of 9487 are 1, 53, 179, 9487. There are 4 integers that are factors of 9487. The greatest factor of 9487 is 9487.

3. What are the Factors of 9495?

Answer: Factors of 9495 are 1, 3, 5, 9, 15, 45, 211, 633, 1055, 1899, 3165, 9495. There are 12 integers that are factors of 9495. The greatest factor of 9495 is 9495.

4. How to Find the LCM of 9487 and 9495?

Answer:

Least Common Multiple of 9487 and 9495 = 90079065

Step 1: Find the prime factorization of 9487

9487 = 53 x 179

Step 2: Find the prime factorization of 9495

9495 = 3 x 3 x 5 x 211

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

LCM = 90079065 = 3 x 3 x 5 x 53 x 179 x 211

Step 4: Therefore, the least common multiple of 9487 and 9495 is 90079065.