Least Common Multiple of 9452 and 9459

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9452 and 9459 the smallest integer that is 89406468 that is divisible by both numbers.

Least Common Multiple (LCM) of 9452 and 9459 is 89406468.

LCM(9452,9459) = 89406468

LCM of 9452 and 9459

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

LCM of:
and

Least Common Multiple of 9452 and 9459

LCM of 9452 and 9459 is 89406468

Least common multiple can be found by multiplying the highest exponent prime factors of 9452 and 9459. First we will calculate the prime factors of 9452 and 9459.

Prime Factorization of 9452


2 9452
2 4726
17 2363
139 139
1

Prime factors of 9452 are 2, 17,139. Prime factorization of 9452 in exponential form is:

9452 = 22×171×1391

Prime Factorization of 9459


3 9459
3 3153
1051 1051
1

Prime factors of 9459 are 3,1051. Prime factorization of 9459 in exponential form is:

9459 = 32×10511

Now multiplying the highest exponent prime factors to calculate the LCM of 9452 and 9459.

LCM(9452,9459) = 22×32×171×1391×10511
LCM(9452,9459) = 89406468

Factors of 9452

List of positive integer factors of 9452 that divides 9452 without a remainder.

1, 2, 4, 17, 34, 68, 139, 278, 556, 2363, 4726, 9452

Factors of 9459

List of positive integer factors of 9459 that divides 9459 without a remainder.

1, 3, 9, 1051, 3153, 9459

Least Common Multiple of 9452 and 9459 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9452 and 9459, than apply into the LCM equation.

GCF(9452,9459) = 1
LCM(9452,9459) = ( 9452 × 9459) / 1
LCM(9452,9459) = 89406468 / 1
LCM(9452,9459) = 89406468

Properties of LCM 9452 and 9459

(i) The LCM of 9459 and 9452 is associative

LCM of 9452 and 9459 = LCM of 9459 and 9452

Related Least Common Multiples of 9452

Related Least Common Multiples of 9459

Frequently Asked Questions on LCM of 9452 and 9459

1. What is the LCM of 9452 and 9459?

Answer: LCM of 9452 and 9459 is 89406468.

2. What are the Factors of 9452?

Answer: Factors of 9452 are 1, 2, 4, 17, 34, 68, 139, 278, 556, 2363, 4726, 9452. There are 12 integers that are factors of 9452. The greatest factor of 9452 is 9452.

3. What are the Factors of 9459?

Answer: Factors of 9459 are 1, 3, 9, 1051, 3153, 9459. There are 6 integers that are factors of 9459. The greatest factor of 9459 is 9459.

4. How to Find the LCM of 9452 and 9459?

Answer:

Least Common Multiple of 9452 and 9459 = 89406468

Step 1: Find the prime factorization of 9452

9452 = 2 x 2 x 17 x 139

Step 2: Find the prime factorization of 9459

9459 = 3 x 3 x 1051

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

LCM = 89406468 = 2 x 2 x 3 x 3 x 17 x 139 x 1051

Step 4: Therefore, the least common multiple of 9452 and 9459 is 89406468.