Least Common Multiple of 9476 and 9479

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9476 and 9479 the smallest integer that is 89823004 that is divisible by both numbers.

Least Common Multiple (LCM) of 9476 and 9479 is 89823004.

LCM(9476,9479) = 89823004

LCM of 9476 and 9479

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

LCM of:
and

Least Common Multiple of 9476 and 9479

LCM of 9476 and 9479 is 89823004

Least common multiple can be found by multiplying the highest exponent prime factors of 9476 and 9479. First we will calculate the prime factors of 9476 and 9479.

Prime Factorization of 9476


2 9476
2 4738
23 2369
103 103
1

Prime factors of 9476 are 2, 23,103. Prime factorization of 9476 in exponential form is:

9476 = 22×231×1031

Prime Factorization of 9479


9479 9479
1

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

9479 = 94791

Now multiplying the highest exponent prime factors to calculate the LCM of 9476 and 9479.

LCM(9476,9479) = 22×231×1031×94791
LCM(9476,9479) = 89823004

Factors of 9476

List of positive integer factors of 9476 that divides 9476 without a remainder.

1, 2, 4, 23, 46, 92, 103, 206, 412, 2369, 4738, 9476

Factors of 9479

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

1, 9479

Least Common Multiple of 9476 and 9479 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9476 and 9479, than apply into the LCM equation.

GCF(9476,9479) = 1
LCM(9476,9479) = ( 9476 × 9479) / 1
LCM(9476,9479) = 89823004 / 1
LCM(9476,9479) = 89823004

Properties of LCM 9476 and 9479

(i) The LCM of 9479 and 9476 is associative

LCM of 9476 and 9479 = LCM of 9479 and 9476

Related Least Common Multiples of 9476

Related Least Common Multiples of 9479

Frequently Asked Questions on LCM of 9476 and 9479

1. What is the LCM of 9476 and 9479?

Answer: LCM of 9476 and 9479 is 89823004.

2. What are the Factors of 9476?

Answer: Factors of 9476 are 1, 2, 4, 23, 46, 92, 103, 206, 412, 2369, 4738, 9476. There are 12 integers that are factors of 9476. The greatest factor of 9476 is 9476.

3. 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.

4. How to Find the LCM of 9476 and 9479?

Answer:

Least Common Multiple of 9476 and 9479 = 89823004

Step 1: Find the prime factorization of 9476

9476 = 2 x 2 x 23 x 103

Step 2: Find the prime factorization of 9479

9479 = 9479

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

LCM = 89823004 = 2 x 2 x 23 x 103 x 9479

Step 4: Therefore, the least common multiple of 9476 and 9479 is 89823004.