Least Common Multiple of 9479 and 9487

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9479 and 9487 the smallest integer that is 89927273 that is divisible by both numbers.

Least Common Multiple (LCM) of 9479 and 9487 is 89927273.

LCM(9479,9487) = 89927273

LCM of 9479 and 9487

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

LCM of:
and

Least Common Multiple of 9479 and 9487

LCM of 9479 and 9487 is 89927273

Least common multiple can be found by multiplying the highest exponent prime factors of 9479 and 9487. First we will calculate the prime factors of 9479 and 9487.

Prime Factorization of 9479


9479 9479
1

Prime factors of 9479 are 9479. Prime factorization of 9479 in exponential form is:

9479 = 94791

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9479 and 9487.

LCM(9479,9487) = 531×1791×94791
LCM(9479,9487) = 89927273

Factors of 9479

List of positive integer factors of 9479 that divides 9479 without a remainder.

1, 9479

Factors of 9487

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

1, 53, 179, 9487

Least Common Multiple of 9479 and 9487 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9479 and 9487, than apply into the LCM equation.

GCF(9479,9487) = 1
LCM(9479,9487) = ( 9479 × 9487) / 1
LCM(9479,9487) = 89927273 / 1
LCM(9479,9487) = 89927273

Properties of LCM 9479 and 9487

(i) The LCM of 9487 and 9479 is associative

LCM of 9479 and 9487 = LCM of 9487 and 9479

Related Least Common Multiples of 9479

Related Least Common Multiples of 9487

Frequently Asked Questions on LCM of 9479 and 9487

1. What is the LCM of 9479 and 9487?

Answer: LCM of 9479 and 9487 is 89927273.

2. What are the Factors of 9479?

Answer: Factors of 9479 are 1, 9479. There are 2 integers that are factors of 9479. The greatest factor of 9479 is 9479.

3. 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.

4. How to Find the LCM of 9479 and 9487?

Answer:

Least Common Multiple of 9479 and 9487 = 89927273

Step 1: Find the prime factorization of 9479

9479 = 9479

Step 2: Find the prime factorization of 9487

9487 = 53 x 179

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

LCM = 89927273 = 53 x 179 x 9479

Step 4: Therefore, the least common multiple of 9479 and 9487 is 89927273.