Least Common Multiple of 9464 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 9464 and 9469 the smallest integer that is 89614616 that is divisible by both numbers.

Least Common Multiple (LCM) of 9464 and 9469 is 89614616.

LCM(9464,9469) = 89614616

LCM of 9464 and 9469

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

LCM of:
and

Least Common Multiple of 9464 and 9469

LCM of 9464 and 9469 is 89614616

Least common multiple can be found by multiplying the highest exponent prime factors of 9464 and 9469. First we will calculate the prime factors of 9464 and 9469.

Prime Factorization of 9464


2 9464
2 4732
2 2366
7 1183
13 169
13 13
1

Prime factors of 9464 are 2, 7,13. Prime factorization of 9464 in exponential form is:

9464 = 23×71×132

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 9464 and 9469.

LCM(9464,9469) = 23×71×132×171×5571
LCM(9464,9469) = 89614616

Factors of 9464

List of positive integer factors of 9464 that divides 9464 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 169, 182, 338, 364, 676, 728, 1183, 1352, 2366, 4732, 9464

Factors of 9469

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

1, 17, 557, 9469

Least Common Multiple of 9464 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 9464 and 9469, than apply into the LCM equation.

GCF(9464,9469) = 1
LCM(9464,9469) = ( 9464 × 9469) / 1
LCM(9464,9469) = 89614616 / 1
LCM(9464,9469) = 89614616

Properties of LCM 9464 and 9469

(i) The LCM of 9469 and 9464 is associative

LCM of 9464 and 9469 = LCM of 9469 and 9464

Related Least Common Multiples of 9464

Related Least Common Multiples of 9469

Frequently Asked Questions on LCM of 9464 and 9469

1. What is the LCM of 9464 and 9469?

Answer: LCM of 9464 and 9469 is 89614616.

2. What are the Factors of 9464?

Answer: Factors of 9464 are 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 169, 182, 338, 364, 676, 728, 1183, 1352, 2366, 4732, 9464. There are 24 integers that are factors of 9464. The greatest factor of 9464 is 9464.

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 9464 and 9469?

Answer:

Least Common Multiple of 9464 and 9469 = 89614616

Step 1: Find the prime factorization of 9464

9464 = 2 x 2 x 2 x 7 x 13 x 13

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 = 89614616 = 2 x 2 x 2 x 7 x 13 x 13 x 17 x 557

Step 4: Therefore, the least common multiple of 9464 and 9469 is 89614616.