Least Common Multiple of 9468 and 9476

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 9476 the smallest integer that is 22429692 that is divisible by both numbers.

Least Common Multiple (LCM) of 9468 and 9476 is 22429692.

LCM(9468,9476) = 22429692

LCM of 9468 and 9476

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

LCM of:
and

Least Common Multiple of 9468 and 9476

LCM of 9468 and 9476 is 22429692

Least common multiple can be found by multiplying the highest exponent prime factors of 9468 and 9476. First we will calculate the prime factors of 9468 and 9476.

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 9476


2 9476
2 4738
23 2369
103 103
1

Prime factors of 9476 are 2, 23,103. Prime factorization of 9476 in exponential form is:

9476 = 22×231×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 9468 and 9476.

LCM(9468,9476) = 22×32×231×1031×2631
LCM(9468,9476) = 22429692

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 9476

List of positive integer factors of 9476 that divides 9476 without a remainder.

1, 2, 4, 23, 46, 92, 103, 206, 412, 2369, 4738, 9476

Least Common Multiple of 9468 and 9476 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 9476, than apply into the LCM equation.

GCF(9468,9476) = 4
LCM(9468,9476) = ( 9468 × 9476) / 4
LCM(9468,9476) = 89718768 / 4
LCM(9468,9476) = 22429692

Properties of LCM 9468 and 9476

(i) The LCM of 9476 and 9468 is associative

LCM of 9468 and 9476 = LCM of 9476 and 9468

Related Least Common Multiples of 9468

Related Least Common Multiples of 9476

Frequently Asked Questions on LCM of 9468 and 9476

1. What is the LCM of 9468 and 9476?

Answer: LCM of 9468 and 9476 is 22429692.

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 9476?

Answer: Factors of 9476 are 1, 2, 4, 23, 46, 92, 103, 206, 412, 2369, 4738, 9476. There are 12 integers that are factors of 9476. The greatest factor of 9476 is 9476.

4. How to Find the LCM of 9468 and 9476?

Answer:

Least Common Multiple of 9468 and 9476 = 22429692

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 9476

9476 = 2 x 2 x 23 x 103

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

LCM = 22429692 = 2 x 2 x 3 x 3 x 23 x 103 x 263

Step 4: Therefore, the least common multiple of 9468 and 9476 is 22429692.