Least Common Multiple of 9463 and 9468

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9463 and 9468 the smallest integer that is 89595684 that is divisible by both numbers.

Least Common Multiple (LCM) of 9463 and 9468 is 89595684.

LCM(9463,9468) = 89595684

LCM of 9463 and 9468

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

LCM of:
and

Least Common Multiple of 9463 and 9468

LCM of 9463 and 9468 is 89595684

Least common multiple can be found by multiplying the highest exponent prime factors of 9463 and 9468. First we will calculate the prime factors of 9463 and 9468.

Prime Factorization of 9463


9463 9463
1

Prime factors of 9463 are 9463. Prime factorization of 9463 in exponential form is:

9463 = 94631

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9463 and 9468.

LCM(9463,9468) = 22×32×2631×94631
LCM(9463,9468) = 89595684

Factors of 9463

List of positive integer factors of 9463 that divides 9463 without a remainder.

1, 9463

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

Least Common Multiple of 9463 and 9468 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9463 and 9468, than apply into the LCM equation.

GCF(9463,9468) = 1
LCM(9463,9468) = ( 9463 × 9468) / 1
LCM(9463,9468) = 89595684 / 1
LCM(9463,9468) = 89595684

Properties of LCM 9463 and 9468

(i) The LCM of 9468 and 9463 is associative

LCM of 9463 and 9468 = LCM of 9468 and 9463

Related Least Common Multiples of 9463

Related Least Common Multiples of 9468

Frequently Asked Questions on LCM of 9463 and 9468

1. What is the LCM of 9463 and 9468?

Answer: LCM of 9463 and 9468 is 89595684.

2. What are the Factors of 9463?

Answer: Factors of 9463 are 1, 9463. There are 2 integers that are factors of 9463. The greatest factor of 9463 is 9463.

3. 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.

4. How to Find the LCM of 9463 and 9468?

Answer:

Least Common Multiple of 9463 and 9468 = 89595684

Step 1: Find the prime factorization of 9463

9463 = 9463

Step 2: Find the prime factorization of 9468

9468 = 2 x 2 x 3 x 3 x 263

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

LCM = 89595684 = 2 x 2 x 3 x 3 x 263 x 9463

Step 4: Therefore, the least common multiple of 9463 and 9468 is 89595684.