Least Common Multiple of 9461 and 9469

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 9469 the smallest integer that is 89586209 that is divisible by both numbers.

Least Common Multiple (LCM) of 9461 and 9469 is 89586209.

LCM(9461,9469) = 89586209

LCM of 9461 and 9469

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

LCM of:
and

Least Common Multiple of 9461 and 9469

LCM of 9461 and 9469 is 89586209

Least common multiple can be found by multiplying the highest exponent prime factors of 9461 and 9469. First we will calculate the prime factors of 9461 and 9469.

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 9469


17 9469
557 557
1

Prime factors of 9469 are 17,557. Prime factorization of 9469 in exponential form is:

9469 = 171×5571

Now multiplying the highest exponent prime factors to calculate the LCM of 9461 and 9469.

LCM(9461,9469) = 171×5571×94611
LCM(9461,9469) = 89586209

Factors of 9461

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

1, 9461

Factors of 9469

List of positive integer factors of 9469 that divides 9469 without a remainder.

1, 17, 557, 9469

Least Common Multiple of 9461 and 9469 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 9469, than apply into the LCM equation.

GCF(9461,9469) = 1
LCM(9461,9469) = ( 9461 × 9469) / 1
LCM(9461,9469) = 89586209 / 1
LCM(9461,9469) = 89586209

Properties of LCM 9461 and 9469

(i) The LCM of 9469 and 9461 is associative

LCM of 9461 and 9469 = LCM of 9469 and 9461

Related Least Common Multiples of 9461

Related Least Common Multiples of 9469

Frequently Asked Questions on LCM of 9461 and 9469

1. What is the LCM of 9461 and 9469?

Answer: LCM of 9461 and 9469 is 89586209.

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 9469?

Answer: Factors of 9469 are 1, 17, 557, 9469. There are 4 integers that are factors of 9469. The greatest factor of 9469 is 9469.

4. How to Find the LCM of 9461 and 9469?

Answer:

Least Common Multiple of 9461 and 9469 = 89586209

Step 1: Find the prime factorization of 9461

9461 = 9461

Step 2: Find the prime factorization of 9469

9469 = 17 x 557

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

LCM = 89586209 = 17 x 557 x 9461

Step 4: Therefore, the least common multiple of 9461 and 9469 is 89586209.