Least Common Multiple of 9024 and 9029

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9024 and 9029 the smallest integer that is 81477696 that is divisible by both numbers.

Least Common Multiple (LCM) of 9024 and 9029 is 81477696.

LCM(9024,9029) = 81477696

LCM of 9024 and 9029

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

LCM of:
and

Least Common Multiple of 9024 and 9029

LCM of 9024 and 9029 is 81477696

Least common multiple can be found by multiplying the highest exponent prime factors of 9024 and 9029. First we will calculate the prime factors of 9024 and 9029.

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

Prime Factorization of 9029


9029 9029
1

Prime factors of 9029 are 9029. Prime factorization of 9029 in exponential form is:

9029 = 90291

Now multiplying the highest exponent prime factors to calculate the LCM of 9024 and 9029.

LCM(9024,9029) = 26×31×471×90291
LCM(9024,9029) = 81477696

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

Factors of 9029

List of positive integer factors of 9029 that divides 9029 without a remainder.

1, 9029

Least Common Multiple of 9024 and 9029 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9024 and 9029, than apply into the LCM equation.

GCF(9024,9029) = 1
LCM(9024,9029) = ( 9024 × 9029) / 1
LCM(9024,9029) = 81477696 / 1
LCM(9024,9029) = 81477696

Properties of LCM 9024 and 9029

(i) The LCM of 9029 and 9024 is associative

LCM of 9024 and 9029 = LCM of 9029 and 9024

Related Least Common Multiples of 9024

Related Least Common Multiples of 9029

Frequently Asked Questions on LCM of 9024 and 9029

1. What is the LCM of 9024 and 9029?

Answer: LCM of 9024 and 9029 is 81477696.

2. 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.

3. What are the Factors of 9029?

Answer: Factors of 9029 are 1, 9029. There are 2 integers that are factors of 9029. The greatest factor of 9029 is 9029.

4. How to Find the LCM of 9024 and 9029?

Answer:

Least Common Multiple of 9024 and 9029 = 81477696

Step 1: Find the prime factorization of 9024

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

Step 2: Find the prime factorization of 9029

9029 = 9029

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

LCM = 81477696 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 47 x 9029

Step 4: Therefore, the least common multiple of 9024 and 9029 is 81477696.