Least Common Multiple of 9016 and 9023

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9016 and 9023 the smallest integer that is 11621624 that is divisible by both numbers.

Least Common Multiple (LCM) of 9016 and 9023 is 11621624.

LCM(9016,9023) = 11621624

LCM of 9016 and 9023

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

LCM of:
and

Least Common Multiple of 9016 and 9023

LCM of 9016 and 9023 is 11621624

Least common multiple can be found by multiplying the highest exponent prime factors of 9016 and 9023. First we will calculate the prime factors of 9016 and 9023.

Prime Factorization of 9016


2 9016
2 4508
2 2254
7 1127
7 161
23 23
1

Prime factors of 9016 are 2, 7,23. Prime factorization of 9016 in exponential form is:

9016 = 23×72×231

Prime Factorization of 9023


7 9023
1289 1289
1

Prime factors of 9023 are 7,1289. Prime factorization of 9023 in exponential form is:

9023 = 71×12891

Now multiplying the highest exponent prime factors to calculate the LCM of 9016 and 9023.

LCM(9016,9023) = 23×72×231×12891
LCM(9016,9023) = 11621624

Factors of 9016

List of positive integer factors of 9016 that divides 9016 without a remainder.

1, 2, 4, 7, 8, 14, 23, 28, 46, 49, 56, 92, 98, 161, 184, 196, 322, 392, 644, 1127, 1288, 2254, 4508, 9016

Factors of 9023

List of positive integer factors of 9023 that divides 9023 without a remainder.

1, 7, 1289, 9023

Least Common Multiple of 9016 and 9023 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9016 and 9023, than apply into the LCM equation.

GCF(9016,9023) = 7
LCM(9016,9023) = ( 9016 × 9023) / 7
LCM(9016,9023) = 81351368 / 7
LCM(9016,9023) = 11621624

Properties of LCM 9016 and 9023

(i) The LCM of 9023 and 9016 is associative

LCM of 9016 and 9023 = LCM of 9023 and 9016

Related Least Common Multiples of 9016

Related Least Common Multiples of 9023

Frequently Asked Questions on LCM of 9016 and 9023

1. What is the LCM of 9016 and 9023?

Answer: LCM of 9016 and 9023 is 11621624.

2. What are the Factors of 9016?

Answer: Factors of 9016 are 1, 2, 4, 7, 8, 14, 23, 28, 46, 49, 56, 92, 98, 161, 184, 196, 322, 392, 644, 1127, 1288, 2254, 4508, 9016. There are 24 integers that are factors of 9016. The greatest factor of 9016 is 9016.

3. What are the Factors of 9023?

Answer: Factors of 9023 are 1, 7, 1289, 9023. There are 4 integers that are factors of 9023. The greatest factor of 9023 is 9023.

4. How to Find the LCM of 9016 and 9023?

Answer:

Least Common Multiple of 9016 and 9023 = 11621624

Step 1: Find the prime factorization of 9016

9016 = 2 x 2 x 2 x 7 x 7 x 23

Step 2: Find the prime factorization of 9023

9023 = 7 x 1289

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

LCM = 11621624 = 2 x 2 x 2 x 7 x 7 x 23 x 1289

Step 4: Therefore, the least common multiple of 9016 and 9023 is 11621624.