Least Common Multiple of 9468 and 9475

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9468 and 9475 the smallest integer that is 89709300 that is divisible by both numbers.

Least Common Multiple (LCM) of 9468 and 9475 is 89709300.

LCM(9468,9475) = 89709300

LCM of 9468 and 9475

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

LCM of:
and

Least Common Multiple of 9468 and 9475

LCM of 9468 and 9475 is 89709300

Least common multiple can be found by multiplying the highest exponent prime factors of 9468 and 9475. First we will calculate the prime factors of 9468 and 9475.

Prime Factorization of 9468


2 9468
2 4734
3 2367
3 789
263 263
1

Prime factors of 9468 are 2, 3,263. Prime factorization of 9468 in exponential form is:

9468 = 22×32×2631

Prime Factorization of 9475


5 9475
5 1895
379 379
1

Prime factors of 9475 are 5,379. Prime factorization of 9475 in exponential form is:

9475 = 52×3791

Now multiplying the highest exponent prime factors to calculate the LCM of 9468 and 9475.

LCM(9468,9475) = 22×32×52×2631×3791
LCM(9468,9475) = 89709300

Factors of 9468

List of positive integer factors of 9468 that divides 9468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 263, 526, 789, 1052, 1578, 2367, 3156, 4734, 9468

Factors of 9475

List of positive integer factors of 9475 that divides 9475 without a remainder.

1, 5, 25, 379, 1895, 9475

Least Common Multiple of 9468 and 9475 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9468 and 9475, than apply into the LCM equation.

GCF(9468,9475) = 1
LCM(9468,9475) = ( 9468 × 9475) / 1
LCM(9468,9475) = 89709300 / 1
LCM(9468,9475) = 89709300

Properties of LCM 9468 and 9475

(i) The LCM of 9475 and 9468 is associative

LCM of 9468 and 9475 = LCM of 9475 and 9468

Related Least Common Multiples of 9468

Related Least Common Multiples of 9475

Frequently Asked Questions on LCM of 9468 and 9475

1. What is the LCM of 9468 and 9475?

Answer: LCM of 9468 and 9475 is 89709300.

2. What are the Factors of 9468?

Answer: Factors of 9468 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 263, 526, 789, 1052, 1578, 2367, 3156, 4734, 9468. There are 18 integers that are factors of 9468. The greatest factor of 9468 is 9468.

3. What are the Factors of 9475?

Answer: Factors of 9475 are 1, 5, 25, 379, 1895, 9475. There are 6 integers that are factors of 9475. The greatest factor of 9475 is 9475.

4. How to Find the LCM of 9468 and 9475?

Answer:

Least Common Multiple of 9468 and 9475 = 89709300

Step 1: Find the prime factorization of 9468

9468 = 2 x 2 x 3 x 3 x 263

Step 2: Find the prime factorization of 9475

9475 = 5 x 5 x 379

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

LCM = 89709300 = 2 x 2 x 3 x 3 x 5 x 5 x 263 x 379

Step 4: Therefore, the least common multiple of 9468 and 9475 is 89709300.