Least Common Multiple of 9470 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 9470 and 9478 the smallest integer that is 44878330 that is divisible by both numbers.

Least Common Multiple (LCM) of 9470 and 9478 is 44878330.

LCM(9470,9478) = 44878330

LCM of 9470 and 9478

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

LCM of:
and

Least Common Multiple of 9470 and 9478

LCM of 9470 and 9478 is 44878330

Least common multiple can be found by multiplying the highest exponent prime factors of 9470 and 9478. First we will calculate the prime factors of 9470 and 9478.

Prime Factorization of 9470


2 9470
5 4735
947 947
1

Prime factors of 9470 are 2, 5,947. Prime factorization of 9470 in exponential form is:

9470 = 21×51×9471

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 9470 and 9478.

LCM(9470,9478) = 21×51×71×6771×9471
LCM(9470,9478) = 44878330

Factors of 9470

List of positive integer factors of 9470 that divides 9470 without a remainder.

1, 2, 5, 10, 947, 1894, 4735, 9470

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 9470 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 9470 and 9478, than apply into the LCM equation.

GCF(9470,9478) = 2
LCM(9470,9478) = ( 9470 × 9478) / 2
LCM(9470,9478) = 89756660 / 2
LCM(9470,9478) = 44878330

Properties of LCM 9470 and 9478

(i) The LCM of 9478 and 9470 is associative

LCM of 9470 and 9478 = LCM of 9478 and 9470

Related Least Common Multiples of 9470

Related Least Common Multiples of 9478

Frequently Asked Questions on LCM of 9470 and 9478

1. What is the LCM of 9470 and 9478?

Answer: LCM of 9470 and 9478 is 44878330.

2. What are the Factors of 9470?

Answer: Factors of 9470 are 1, 2, 5, 10, 947, 1894, 4735, 9470. There are 8 integers that are factors of 9470. The greatest factor of 9470 is 9470.

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 9470 and 9478?

Answer:

Least Common Multiple of 9470 and 9478 = 44878330

Step 1: Find the prime factorization of 9470

9470 = 2 x 5 x 947

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 = 44878330 = 2 x 5 x 7 x 677 x 947

Step 4: Therefore, the least common multiple of 9470 and 9478 is 44878330.