Least Common Multiple of 9016 and 9024

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 9024 the smallest integer that is 10170048 that is divisible by both numbers.

Least Common Multiple (LCM) of 9016 and 9024 is 10170048.

LCM(9016,9024) = 10170048

LCM of 9016 and 9024

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

LCM of:
and

Least Common Multiple of 9016 and 9024

LCM of 9016 and 9024 is 10170048

Least common multiple can be found by multiplying the highest exponent prime factors of 9016 and 9024. First we will calculate the prime factors of 9016 and 9024.

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 9024


2 9024
2 4512
2 2256
2 1128
2 564
2 282
3 141
47 47
1

Prime factors of 9024 are 2, 3,47. Prime factorization of 9024 in exponential form is:

9024 = 26×31×471

Now multiplying the highest exponent prime factors to calculate the LCM of 9016 and 9024.

LCM(9016,9024) = 26×31×72×231×471
LCM(9016,9024) = 10170048

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 9024

List of positive integer factors of 9024 that divides 9024 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 47, 48, 64, 94, 96, 141, 188, 192, 282, 376, 564, 752, 1128, 1504, 2256, 3008, 4512, 9024

Least Common Multiple of 9016 and 9024 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 9024, than apply into the LCM equation.

GCF(9016,9024) = 8
LCM(9016,9024) = ( 9016 × 9024) / 8
LCM(9016,9024) = 81360384 / 8
LCM(9016,9024) = 10170048

Properties of LCM 9016 and 9024

(i) The LCM of 9024 and 9016 is associative

LCM of 9016 and 9024 = LCM of 9024 and 9016

Related Least Common Multiples of 9016

Related Least Common Multiples of 9024

Frequently Asked Questions on LCM of 9016 and 9024

1. What is the LCM of 9016 and 9024?

Answer: LCM of 9016 and 9024 is 10170048.

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 9024?

Answer: Factors of 9024 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 47, 48, 64, 94, 96, 141, 188, 192, 282, 376, 564, 752, 1128, 1504, 2256, 3008, 4512, 9024. There are 28 integers that are factors of 9024. The greatest factor of 9024 is 9024.

4. How to Find the LCM of 9016 and 9024?

Answer:

Least Common Multiple of 9016 and 9024 = 10170048

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 9024

9024 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 47

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

LCM = 10170048 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 7 x 23 x 47

Step 4: Therefore, the least common multiple of 9016 and 9024 is 10170048.