Least Common Multiple of 9474 and 9476

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9474 and 9476 the smallest integer that is 44887812 that is divisible by both numbers.

Least Common Multiple (LCM) of 9474 and 9476 is 44887812.

LCM(9474,9476) = 44887812

LCM of 9474 and 9476

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

LCM of:
and

Least Common Multiple of 9474 and 9476

LCM of 9474 and 9476 is 44887812

Least common multiple can be found by multiplying the highest exponent prime factors of 9474 and 9476. First we will calculate the prime factors of 9474 and 9476.

Prime Factorization of 9474


2 9474
3 4737
1579 1579
1

Prime factors of 9474 are 2, 3,1579. Prime factorization of 9474 in exponential form is:

9474 = 21×31×15791

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9474 and 9476.

LCM(9474,9476) = 22×31×231×1031×15791
LCM(9474,9476) = 44887812

Factors of 9474

List of positive integer factors of 9474 that divides 9474 without a remainder.

1, 2, 3, 6, 1579, 3158, 4737, 9474

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

Least Common Multiple of 9474 and 9476 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9474 and 9476, than apply into the LCM equation.

GCF(9474,9476) = 2
LCM(9474,9476) = ( 9474 × 9476) / 2
LCM(9474,9476) = 89775624 / 2
LCM(9474,9476) = 44887812

Properties of LCM 9474 and 9476

(i) The LCM of 9476 and 9474 is associative

LCM of 9474 and 9476 = LCM of 9476 and 9474

Related Least Common Multiples of 9474

Related Least Common Multiples of 9476

Frequently Asked Questions on LCM of 9474 and 9476

1. What is the LCM of 9474 and 9476?

Answer: LCM of 9474 and 9476 is 44887812.

2. What are the Factors of 9474?

Answer: Factors of 9474 are 1, 2, 3, 6, 1579, 3158, 4737, 9474. There are 8 integers that are factors of 9474. The greatest factor of 9474 is 9474.

3. 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.

4. How to Find the LCM of 9474 and 9476?

Answer:

Least Common Multiple of 9474 and 9476 = 44887812

Step 1: Find the prime factorization of 9474

9474 = 2 x 3 x 1579

Step 2: Find the prime factorization of 9476

9476 = 2 x 2 x 23 x 103

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

LCM = 44887812 = 2 x 2 x 3 x 23 x 103 x 1579

Step 4: Therefore, the least common multiple of 9474 and 9476 is 44887812.