Least Common Multiple of 9468 and 9473

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 9473 the smallest integer that is 89690364 that is divisible by both numbers.

Least Common Multiple (LCM) of 9468 and 9473 is 89690364.

LCM(9468,9473) = 89690364

LCM of 9468 and 9473

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

LCM of:
and

Least Common Multiple of 9468 and 9473

LCM of 9468 and 9473 is 89690364

Least common multiple can be found by multiplying the highest exponent prime factors of 9468 and 9473. First we will calculate the prime factors of 9468 and 9473.

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 9473


9473 9473
1

Prime factors of 9473 are 9473. Prime factorization of 9473 in exponential form is:

9473 = 94731

Now multiplying the highest exponent prime factors to calculate the LCM of 9468 and 9473.

LCM(9468,9473) = 22×32×2631×94731
LCM(9468,9473) = 89690364

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 9473

List of positive integer factors of 9473 that divides 9473 without a remainder.

1, 9473

Least Common Multiple of 9468 and 9473 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 9473, than apply into the LCM equation.

GCF(9468,9473) = 1
LCM(9468,9473) = ( 9468 × 9473) / 1
LCM(9468,9473) = 89690364 / 1
LCM(9468,9473) = 89690364

Properties of LCM 9468 and 9473

(i) The LCM of 9473 and 9468 is associative

LCM of 9468 and 9473 = LCM of 9473 and 9468

Related Least Common Multiples of 9468

Related Least Common Multiples of 9473

Frequently Asked Questions on LCM of 9468 and 9473

1. What is the LCM of 9468 and 9473?

Answer: LCM of 9468 and 9473 is 89690364.

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 9473?

Answer: Factors of 9473 are 1, 9473. There are 2 integers that are factors of 9473. The greatest factor of 9473 is 9473.

4. How to Find the LCM of 9468 and 9473?

Answer:

Least Common Multiple of 9468 and 9473 = 89690364

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 9473

9473 = 9473

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

LCM = 89690364 = 2 x 2 x 3 x 3 x 263 x 9473

Step 4: Therefore, the least common multiple of 9468 and 9473 is 89690364.