Least Common Multiple of 9468 and 9474

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 9474 the smallest integer that is 14949972 that is divisible by both numbers.

Least Common Multiple (LCM) of 9468 and 9474 is 14949972.

LCM(9468,9474) = 14949972

LCM of 9468 and 9474

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

LCM of:
and

Least Common Multiple of 9468 and 9474

LCM of 9468 and 9474 is 14949972

Least common multiple can be found by multiplying the highest exponent prime factors of 9468 and 9474. First we will calculate the prime factors of 9468 and 9474.

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 9474


2 9474
3 4737
1579 1579
1

Prime factors of 9474 are 2, 3,1579. Prime factorization of 9474 in exponential form is:

9474 = 21×31×15791

Now multiplying the highest exponent prime factors to calculate the LCM of 9468 and 9474.

LCM(9468,9474) = 22×32×2631×15791
LCM(9468,9474) = 14949972

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 9474

List of positive integer factors of 9474 that divides 9474 without a remainder.

1, 2, 3, 6, 1579, 3158, 4737, 9474

Least Common Multiple of 9468 and 9474 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 9474, than apply into the LCM equation.

GCF(9468,9474) = 6
LCM(9468,9474) = ( 9468 × 9474) / 6
LCM(9468,9474) = 89699832 / 6
LCM(9468,9474) = 14949972

Properties of LCM 9468 and 9474

(i) The LCM of 9474 and 9468 is associative

LCM of 9468 and 9474 = LCM of 9474 and 9468

Related Least Common Multiples of 9468

Related Least Common Multiples of 9474

Frequently Asked Questions on LCM of 9468 and 9474

1. What is the LCM of 9468 and 9474?

Answer: LCM of 9468 and 9474 is 14949972.

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 9474?

Answer: Factors of 9474 are 1, 2, 3, 6, 1579, 3158, 4737, 9474. There are 8 integers that are factors of 9474. The greatest factor of 9474 is 9474.

4. How to Find the LCM of 9468 and 9474?

Answer:

Least Common Multiple of 9468 and 9474 = 14949972

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 9474

9474 = 2 x 3 x 1579

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

LCM = 14949972 = 2 x 2 x 3 x 3 x 263 x 1579

Step 4: Therefore, the least common multiple of 9468 and 9474 is 14949972.