Least Common Multiple of 9461 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 9461 and 9468 the smallest integer that is 89576748 that is divisible by both numbers.

Least Common Multiple (LCM) of 9461 and 9468 is 89576748.

LCM(9461,9468) = 89576748

LCM of 9461 and 9468

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

LCM of:
and

Least Common Multiple of 9461 and 9468

LCM of 9461 and 9468 is 89576748

Least common multiple can be found by multiplying the highest exponent prime factors of 9461 and 9468. First we will calculate the prime factors of 9461 and 9468.

Prime Factorization of 9461


9461 9461
1

Prime factors of 9461 are 9461. Prime factorization of 9461 in exponential form is:

9461 = 94611

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 9461 and 9468.

LCM(9461,9468) = 22×32×2631×94611
LCM(9461,9468) = 89576748

Factors of 9461

List of positive integer factors of 9461 that divides 9461 without a remainder.

1, 9461

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 9461 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 9461 and 9468, than apply into the LCM equation.

GCF(9461,9468) = 1
LCM(9461,9468) = ( 9461 × 9468) / 1
LCM(9461,9468) = 89576748 / 1
LCM(9461,9468) = 89576748

Properties of LCM 9461 and 9468

(i) The LCM of 9468 and 9461 is associative

LCM of 9461 and 9468 = LCM of 9468 and 9461

Related Least Common Multiples of 9461

Related Least Common Multiples of 9468

Frequently Asked Questions on LCM of 9461 and 9468

1. What is the LCM of 9461 and 9468?

Answer: LCM of 9461 and 9468 is 89576748.

2. What are the Factors of 9461?

Answer: Factors of 9461 are 1, 9461. There are 2 integers that are factors of 9461. The greatest factor of 9461 is 9461.

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 9461 and 9468?

Answer:

Least Common Multiple of 9461 and 9468 = 89576748

Step 1: Find the prime factorization of 9461

9461 = 9461

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 = 89576748 = 2 x 2 x 3 x 3 x 263 x 9461

Step 4: Therefore, the least common multiple of 9461 and 9468 is 89576748.