Least Common Multiple of 8024 and 8030

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8024 and 8030 the smallest integer that is 32216360 that is divisible by both numbers.

Least Common Multiple (LCM) of 8024 and 8030 is 32216360.

LCM(8024,8030) = 32216360

LCM of 8024 and 8030

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

LCM of:
and

Least Common Multiple of 8024 and 8030

LCM of 8024 and 8030 is 32216360

Least common multiple can be found by multiplying the highest exponent prime factors of 8024 and 8030. First we will calculate the prime factors of 8024 and 8030.

Prime Factorization of 8024


2 8024
2 4012
2 2006
17 1003
59 59
1

Prime factors of 8024 are 2, 17,59. Prime factorization of 8024 in exponential form is:

8024 = 23×171×591

Prime Factorization of 8030


2 8030
5 4015
11 803
73 73
1

Prime factors of 8030 are 2, 5, 11,73. Prime factorization of 8030 in exponential form is:

8030 = 21×51×111×731

Now multiplying the highest exponent prime factors to calculate the LCM of 8024 and 8030.

LCM(8024,8030) = 23×51×111×171×591×731
LCM(8024,8030) = 32216360

Factors of 8024

List of positive integer factors of 8024 that divides 8024 without a remainder.

1, 2, 4, 8, 17, 34, 59, 68, 118, 136, 236, 472, 1003, 2006, 4012, 8024

Factors of 8030

List of positive integer factors of 8030 that divides 8030 without a remainder.

1, 2, 5, 10, 11, 22, 55, 73, 110, 146, 365, 730, 803, 1606, 4015, 8030

Least Common Multiple of 8024 and 8030 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8024 and 8030, than apply into the LCM equation.

GCF(8024,8030) = 2
LCM(8024,8030) = ( 8024 × 8030) / 2
LCM(8024,8030) = 64432720 / 2
LCM(8024,8030) = 32216360

Properties of LCM 8024 and 8030

(i) The LCM of 8030 and 8024 is associative

LCM of 8024 and 8030 = LCM of 8030 and 8024

Related Least Common Multiples of 8024

Related Least Common Multiples of 8030

Frequently Asked Questions on LCM of 8024 and 8030

1. What is the LCM of 8024 and 8030?

Answer: LCM of 8024 and 8030 is 32216360.

2. What are the Factors of 8024?

Answer: Factors of 8024 are 1, 2, 4, 8, 17, 34, 59, 68, 118, 136, 236, 472, 1003, 2006, 4012, 8024. There are 16 integers that are factors of 8024. The greatest factor of 8024 is 8024.

3. What are the Factors of 8030?

Answer: Factors of 8030 are 1, 2, 5, 10, 11, 22, 55, 73, 110, 146, 365, 730, 803, 1606, 4015, 8030. There are 16 integers that are factors of 8030. The greatest factor of 8030 is 8030.

4. How to Find the LCM of 8024 and 8030?

Answer:

Least Common Multiple of 8024 and 8030 = 32216360

Step 1: Find the prime factorization of 8024

8024 = 2 x 2 x 2 x 17 x 59

Step 2: Find the prime factorization of 8030

8030 = 2 x 5 x 11 x 73

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

LCM = 32216360 = 2 x 2 x 2 x 5 x 11 x 17 x 59 x 73

Step 4: Therefore, the least common multiple of 8024 and 8030 is 32216360.