Least Common Multiple of 9478 and 9486

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9478 and 9486 the smallest integer that is 44954154 that is divisible by both numbers.

Least Common Multiple (LCM) of 9478 and 9486 is 44954154.

LCM(9478,9486) = 44954154

LCM of 9478 and 9486

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

LCM of:
and

Least Common Multiple of 9478 and 9486

LCM of 9478 and 9486 is 44954154

Least common multiple can be found by multiplying the highest exponent prime factors of 9478 and 9486. First we will calculate the prime factors of 9478 and 9486.

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

Prime Factorization of 9486


2 9486
3 4743
3 1581
17 527
31 31
1

Prime factors of 9486 are 2, 3, 17,31. Prime factorization of 9486 in exponential form is:

9486 = 21×32×171×311

Now multiplying the highest exponent prime factors to calculate the LCM of 9478 and 9486.

LCM(9478,9486) = 21×32×71×171×311×6771
LCM(9478,9486) = 44954154

Factors of 9478

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

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

Factors of 9486

List of positive integer factors of 9486 that divides 9486 without a remainder.

1, 2, 3, 6, 9, 17, 18, 31, 34, 51, 62, 93, 102, 153, 186, 279, 306, 527, 558, 1054, 1581, 3162, 4743, 9486

Least Common Multiple of 9478 and 9486 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9478 and 9486, than apply into the LCM equation.

GCF(9478,9486) = 2
LCM(9478,9486) = ( 9478 × 9486) / 2
LCM(9478,9486) = 89908308 / 2
LCM(9478,9486) = 44954154

Properties of LCM 9478 and 9486

(i) The LCM of 9486 and 9478 is associative

LCM of 9478 and 9486 = LCM of 9486 and 9478

Related Least Common Multiples of 9478

Related Least Common Multiples of 9486

Frequently Asked Questions on LCM of 9478 and 9486

1. What is the LCM of 9478 and 9486?

Answer: LCM of 9478 and 9486 is 44954154.

2. 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.

3. What are the Factors of 9486?

Answer: Factors of 9486 are 1, 2, 3, 6, 9, 17, 18, 31, 34, 51, 62, 93, 102, 153, 186, 279, 306, 527, 558, 1054, 1581, 3162, 4743, 9486. There are 24 integers that are factors of 9486. The greatest factor of 9486 is 9486.

4. How to Find the LCM of 9478 and 9486?

Answer:

Least Common Multiple of 9478 and 9486 = 44954154

Step 1: Find the prime factorization of 9478

9478 = 2 x 7 x 677

Step 2: Find the prime factorization of 9486

9486 = 2 x 3 x 3 x 17 x 31

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

LCM = 44954154 = 2 x 3 x 3 x 7 x 17 x 31 x 677

Step 4: Therefore, the least common multiple of 9478 and 9486 is 44954154.