Least Common Multiple of 9449 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 9449 and 9456 the smallest integer that is 89349744 that is divisible by both numbers.

Least Common Multiple (LCM) of 9449 and 9456 is 89349744.

LCM(9449,9456) = 89349744

LCM of 9449 and 9456

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

LCM of:
and

Least Common Multiple of 9449 and 9456

LCM of 9449 and 9456 is 89349744

Least common multiple can be found by multiplying the highest exponent prime factors of 9449 and 9456. First we will calculate the prime factors of 9449 and 9456.

Prime Factorization of 9449


11 9449
859 859
1

Prime factors of 9449 are 11,859. Prime factorization of 9449 in exponential form is:

9449 = 111×8591

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 9449 and 9456.

LCM(9449,9456) = 24×31×111×1971×8591
LCM(9449,9456) = 89349744

Factors of 9449

List of positive integer factors of 9449 that divides 9449 without a remainder.

1, 11, 859, 9449

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 9449 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 9449 and 9456, than apply into the LCM equation.

GCF(9449,9456) = 1
LCM(9449,9456) = ( 9449 × 9456) / 1
LCM(9449,9456) = 89349744 / 1
LCM(9449,9456) = 89349744

Properties of LCM 9449 and 9456

(i) The LCM of 9456 and 9449 is associative

LCM of 9449 and 9456 = LCM of 9456 and 9449

Related Least Common Multiples of 9449

Related Least Common Multiples of 9456

Frequently Asked Questions on LCM of 9449 and 9456

1. What is the LCM of 9449 and 9456?

Answer: LCM of 9449 and 9456 is 89349744.

2. What are the Factors of 9449?

Answer: Factors of 9449 are 1, 11, 859, 9449. There are 4 integers that are factors of 9449. The greatest factor of 9449 is 9449.

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 9449 and 9456?

Answer:

Least Common Multiple of 9449 and 9456 = 89349744

Step 1: Find the prime factorization of 9449

9449 = 11 x 859

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 = 89349744 = 2 x 2 x 2 x 2 x 3 x 11 x 197 x 859

Step 4: Therefore, the least common multiple of 9449 and 9456 is 89349744.