Least Common Multiple of 9485 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 9485 and 9486 the smallest integer that is 89974710 that is divisible by both numbers.

Least Common Multiple (LCM) of 9485 and 9486 is 89974710.

LCM(9485,9486) = 89974710

LCM of 9485 and 9486

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

LCM of:
and

Least Common Multiple of 9485 and 9486

LCM of 9485 and 9486 is 89974710

Least common multiple can be found by multiplying the highest exponent prime factors of 9485 and 9486. First we will calculate the prime factors of 9485 and 9486.

Prime Factorization of 9485


5 9485
7 1897
271 271
1

Prime factors of 9485 are 5, 7,271. Prime factorization of 9485 in exponential form is:

9485 = 51×71×2711

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 9485 and 9486.

LCM(9485,9486) = 21×32×51×71×171×311×2711
LCM(9485,9486) = 89974710

Factors of 9485

List of positive integer factors of 9485 that divides 9485 without a remainder.

1, 5, 7, 35, 271, 1355, 1897, 9485

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 9485 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 9485 and 9486, than apply into the LCM equation.

GCF(9485,9486) = 1
LCM(9485,9486) = ( 9485 × 9486) / 1
LCM(9485,9486) = 89974710 / 1
LCM(9485,9486) = 89974710

Properties of LCM 9485 and 9486

(i) The LCM of 9486 and 9485 is associative

LCM of 9485 and 9486 = LCM of 9486 and 9485

Related Least Common Multiples of 9485

Related Least Common Multiples of 9486

Frequently Asked Questions on LCM of 9485 and 9486

1. What is the LCM of 9485 and 9486?

Answer: LCM of 9485 and 9486 is 89974710.

2. What are the Factors of 9485?

Answer: Factors of 9485 are 1, 5, 7, 35, 271, 1355, 1897, 9485. There are 8 integers that are factors of 9485. The greatest factor of 9485 is 9485.

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 9485 and 9486?

Answer:

Least Common Multiple of 9485 and 9486 = 89974710

Step 1: Find the prime factorization of 9485

9485 = 5 x 7 x 271

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 = 89974710 = 2 x 3 x 3 x 5 x 7 x 17 x 31 x 271

Step 4: Therefore, the least common multiple of 9485 and 9486 is 89974710.