Least Common Multiple of 9452 and 9456

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 9456 the smallest integer that is 22344528 that is divisible by both numbers.

Least Common Multiple (LCM) of 9452 and 9456 is 22344528.

LCM(9452,9456) = 22344528

LCM of 9452 and 9456

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

LCM of:
and

Least Common Multiple of 9452 and 9456

LCM of 9452 and 9456 is 22344528

Least common multiple can be found by multiplying the highest exponent prime factors of 9452 and 9456. First we will calculate the prime factors of 9452 and 9456.

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 9456


2 9456
2 4728
2 2364
2 1182
3 591
197 197
1

Prime factors of 9456 are 2, 3,197. Prime factorization of 9456 in exponential form is:

9456 = 24×31×1971

Now multiplying the highest exponent prime factors to calculate the LCM of 9452 and 9456.

LCM(9452,9456) = 24×31×171×1391×1971
LCM(9452,9456) = 22344528

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 9456

List of positive integer factors of 9456 that divides 9456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 197, 394, 591, 788, 1182, 1576, 2364, 3152, 4728, 9456

Least Common Multiple of 9452 and 9456 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 9456, than apply into the LCM equation.

GCF(9452,9456) = 4
LCM(9452,9456) = ( 9452 × 9456) / 4
LCM(9452,9456) = 89378112 / 4
LCM(9452,9456) = 22344528

Properties of LCM 9452 and 9456

(i) The LCM of 9456 and 9452 is associative

LCM of 9452 and 9456 = LCM of 9456 and 9452

Related Least Common Multiples of 9452

Related Least Common Multiples of 9456

Frequently Asked Questions on LCM of 9452 and 9456

1. What is the LCM of 9452 and 9456?

Answer: LCM of 9452 and 9456 is 22344528.

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 9456?

Answer: Factors of 9456 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 197, 394, 591, 788, 1182, 1576, 2364, 3152, 4728, 9456. There are 20 integers that are factors of 9456. The greatest factor of 9456 is 9456.

4. How to Find the LCM of 9452 and 9456?

Answer:

Least Common Multiple of 9452 and 9456 = 22344528

Step 1: Find the prime factorization of 9452

9452 = 2 x 2 x 17 x 139

Step 2: Find the prime factorization of 9456

9456 = 2 x 2 x 2 x 2 x 3 x 197

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

LCM = 22344528 = 2 x 2 x 2 x 2 x 3 x 17 x 139 x 197

Step 4: Therefore, the least common multiple of 9452 and 9456 is 22344528.