Least Common Multiple of 9456 and 9462

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9456 and 9462 the smallest integer that is 14912112 that is divisible by both numbers.

Least Common Multiple (LCM) of 9456 and 9462 is 14912112.

LCM(9456,9462) = 14912112

LCM of 9456 and 9462

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

LCM of:
and

Least Common Multiple of 9456 and 9462

LCM of 9456 and 9462 is 14912112

Least common multiple can be found by multiplying the highest exponent prime factors of 9456 and 9462. First we will calculate the prime factors of 9456 and 9462.

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

Prime Factorization of 9462


2 9462
3 4731
19 1577
83 83
1

Prime factors of 9462 are 2, 3, 19,83. Prime factorization of 9462 in exponential form is:

9462 = 21×31×191×831

Now multiplying the highest exponent prime factors to calculate the LCM of 9456 and 9462.

LCM(9456,9462) = 24×31×191×831×1971
LCM(9456,9462) = 14912112

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

Factors of 9462

List of positive integer factors of 9462 that divides 9462 without a remainder.

1, 2, 3, 6, 19, 38, 57, 83, 114, 166, 249, 498, 1577, 3154, 4731, 9462

Least Common Multiple of 9456 and 9462 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9456 and 9462, than apply into the LCM equation.

GCF(9456,9462) = 6
LCM(9456,9462) = ( 9456 × 9462) / 6
LCM(9456,9462) = 89472672 / 6
LCM(9456,9462) = 14912112

Properties of LCM 9456 and 9462

(i) The LCM of 9462 and 9456 is associative

LCM of 9456 and 9462 = LCM of 9462 and 9456

Related Least Common Multiples of 9456

Related Least Common Multiples of 9462

Frequently Asked Questions on LCM of 9456 and 9462

1. What is the LCM of 9456 and 9462?

Answer: LCM of 9456 and 9462 is 14912112.

2. 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.

3. What are the Factors of 9462?

Answer: Factors of 9462 are 1, 2, 3, 6, 19, 38, 57, 83, 114, 166, 249, 498, 1577, 3154, 4731, 9462. There are 16 integers that are factors of 9462. The greatest factor of 9462 is 9462.

4. How to Find the LCM of 9456 and 9462?

Answer:

Least Common Multiple of 9456 and 9462 = 14912112

Step 1: Find the prime factorization of 9456

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

Step 2: Find the prime factorization of 9462

9462 = 2 x 3 x 19 x 83

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

LCM = 14912112 = 2 x 2 x 2 x 2 x 3 x 19 x 83 x 197

Step 4: Therefore, the least common multiple of 9456 and 9462 is 14912112.