Least Common Multiple of 9017 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 9017 and 9024 the smallest integer that is 81369408 that is divisible by both numbers.

Least Common Multiple (LCM) of 9017 and 9024 is 81369408.

LCM(9017,9024) = 81369408

LCM of 9017 and 9024

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

LCM of:
and

Least Common Multiple of 9017 and 9024

LCM of 9017 and 9024 is 81369408

Least common multiple can be found by multiplying the highest exponent prime factors of 9017 and 9024. First we will calculate the prime factors of 9017 and 9024.

Prime Factorization of 9017


71 9017
127 127
1

Prime factors of 9017 are 71,127. Prime factorization of 9017 in exponential form is:

9017 = 711×1271

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 9017 and 9024.

LCM(9017,9024) = 26×31×471×711×1271
LCM(9017,9024) = 81369408

Factors of 9017

List of positive integer factors of 9017 that divides 9017 without a remainder.

1, 71, 127, 9017

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 9017 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 9017 and 9024, than apply into the LCM equation.

GCF(9017,9024) = 1
LCM(9017,9024) = ( 9017 × 9024) / 1
LCM(9017,9024) = 81369408 / 1
LCM(9017,9024) = 81369408

Properties of LCM 9017 and 9024

(i) The LCM of 9024 and 9017 is associative

LCM of 9017 and 9024 = LCM of 9024 and 9017

Related Least Common Multiples of 9017

Related Least Common Multiples of 9024

Frequently Asked Questions on LCM of 9017 and 9024

1. What is the LCM of 9017 and 9024?

Answer: LCM of 9017 and 9024 is 81369408.

2. What are the Factors of 9017?

Answer: Factors of 9017 are 1, 71, 127, 9017. There are 4 integers that are factors of 9017. The greatest factor of 9017 is 9017.

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 9017 and 9024?

Answer:

Least Common Multiple of 9017 and 9024 = 81369408

Step 1: Find the prime factorization of 9017

9017 = 71 x 127

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 = 81369408 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 47 x 71 x 127

Step 4: Therefore, the least common multiple of 9017 and 9024 is 81369408.