Least Common Multiple of 9474 and 9478

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 9478 the smallest integer that is 44897286 that is divisible by both numbers.

Least Common Multiple (LCM) of 9474 and 9478 is 44897286.

LCM(9474,9478) = 44897286

LCM of 9474 and 9478

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

LCM of:
and

Least Common Multiple of 9474 and 9478

LCM of 9474 and 9478 is 44897286

Least common multiple can be found by multiplying the highest exponent prime factors of 9474 and 9478. First we will calculate the prime factors of 9474 and 9478.

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 9478


2 9478
7 4739
677 677
1

Prime factors of 9478 are 2, 7,677. Prime factorization of 9478 in exponential form is:

9478 = 21×71×6771

Now multiplying the highest exponent prime factors to calculate the LCM of 9474 and 9478.

LCM(9474,9478) = 21×31×71×6771×15791
LCM(9474,9478) = 44897286

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 9478

List of positive integer factors of 9478 that divides 9478 without a remainder.

1, 2, 7, 14, 677, 1354, 4739, 9478

Least Common Multiple of 9474 and 9478 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 9478, than apply into the LCM equation.

GCF(9474,9478) = 2
LCM(9474,9478) = ( 9474 × 9478) / 2
LCM(9474,9478) = 89794572 / 2
LCM(9474,9478) = 44897286

Properties of LCM 9474 and 9478

(i) The LCM of 9478 and 9474 is associative

LCM of 9474 and 9478 = LCM of 9478 and 9474

Related Least Common Multiples of 9474

Related Least Common Multiples of 9478

Frequently Asked Questions on LCM of 9474 and 9478

1. What is the LCM of 9474 and 9478?

Answer: LCM of 9474 and 9478 is 44897286.

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 9478?

Answer: Factors of 9478 are 1, 2, 7, 14, 677, 1354, 4739, 9478. There are 8 integers that are factors of 9478. The greatest factor of 9478 is 9478.

4. How to Find the LCM of 9474 and 9478?

Answer:

Least Common Multiple of 9474 and 9478 = 44897286

Step 1: Find the prime factorization of 9474

9474 = 2 x 3 x 1579

Step 2: Find the prime factorization of 9478

9478 = 2 x 7 x 677

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

LCM = 44897286 = 2 x 3 x 7 x 677 x 1579

Step 4: Therefore, the least common multiple of 9474 and 9478 is 44897286.