Least Common Multiple of 9468 and 9472

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9468 and 9472 the smallest integer that is 22420224 that is divisible by both numbers.

Least Common Multiple (LCM) of 9468 and 9472 is 22420224.

LCM(9468,9472) = 22420224

LCM of 9468 and 9472

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

LCM of:
and

Least Common Multiple of 9468 and 9472

LCM of 9468 and 9472 is 22420224

Least common multiple can be found by multiplying the highest exponent prime factors of 9468 and 9472. First we will calculate the prime factors of 9468 and 9472.

Prime Factorization of 9468


2 9468
2 4734
3 2367
3 789
263 263
1

Prime factors of 9468 are 2, 3,263. Prime factorization of 9468 in exponential form is:

9468 = 22×32×2631

Prime Factorization of 9472


2 9472
2 4736
2 2368
2 1184
2 592
2 296
2 148
2 74
37 37
1

Prime factors of 9472 are 2,37. Prime factorization of 9472 in exponential form is:

9472 = 28×371

Now multiplying the highest exponent prime factors to calculate the LCM of 9468 and 9472.

LCM(9468,9472) = 28×32×371×2631
LCM(9468,9472) = 22420224

Factors of 9468

List of positive integer factors of 9468 that divides 9468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 263, 526, 789, 1052, 1578, 2367, 3156, 4734, 9468

Factors of 9472

List of positive integer factors of 9472 that divides 9472 without a remainder.

1, 2, 4, 8, 16, 32, 37, 64, 74, 128, 148, 256, 296, 592, 1184, 2368, 4736, 9472

Least Common Multiple of 9468 and 9472 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9468 and 9472, than apply into the LCM equation.

GCF(9468,9472) = 4
LCM(9468,9472) = ( 9468 × 9472) / 4
LCM(9468,9472) = 89680896 / 4
LCM(9468,9472) = 22420224

Properties of LCM 9468 and 9472

(i) The LCM of 9472 and 9468 is associative

LCM of 9468 and 9472 = LCM of 9472 and 9468

Related Least Common Multiples of 9468

Related Least Common Multiples of 9472

Frequently Asked Questions on LCM of 9468 and 9472

1. What is the LCM of 9468 and 9472?

Answer: LCM of 9468 and 9472 is 22420224.

2. What are the Factors of 9468?

Answer: Factors of 9468 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 263, 526, 789, 1052, 1578, 2367, 3156, 4734, 9468. There are 18 integers that are factors of 9468. The greatest factor of 9468 is 9468.

3. What are the Factors of 9472?

Answer: Factors of 9472 are 1, 2, 4, 8, 16, 32, 37, 64, 74, 128, 148, 256, 296, 592, 1184, 2368, 4736, 9472. There are 18 integers that are factors of 9472. The greatest factor of 9472 is 9472.

4. How to Find the LCM of 9468 and 9472?

Answer:

Least Common Multiple of 9468 and 9472 = 22420224

Step 1: Find the prime factorization of 9468

9468 = 2 x 2 x 3 x 3 x 263

Step 2: Find the prime factorization of 9472

9472 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 37

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

LCM = 22420224 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 37 x 263

Step 4: Therefore, the least common multiple of 9468 and 9472 is 22420224.