Least Common Multiple of 8028 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 8028 and 8030 the smallest integer that is 32232420 that is divisible by both numbers.

Least Common Multiple (LCM) of 8028 and 8030 is 32232420.

LCM(8028,8030) = 32232420

LCM of 8028 and 8030

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

LCM of:
and

Least Common Multiple of 8028 and 8030

LCM of 8028 and 8030 is 32232420

Least common multiple can be found by multiplying the highest exponent prime factors of 8028 and 8030. First we will calculate the prime factors of 8028 and 8030.

Prime Factorization of 8028


2 8028
2 4014
3 2007
3 669
223 223
1

Prime factors of 8028 are 2, 3,223. Prime factorization of 8028 in exponential form is:

8028 = 22×32×2231

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 8028 and 8030.

LCM(8028,8030) = 22×32×51×111×731×2231
LCM(8028,8030) = 32232420

Factors of 8028

List of positive integer factors of 8028 that divides 8028 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 223, 446, 669, 892, 1338, 2007, 2676, 4014, 8028

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 8028 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 8028 and 8030, than apply into the LCM equation.

GCF(8028,8030) = 2
LCM(8028,8030) = ( 8028 × 8030) / 2
LCM(8028,8030) = 64464840 / 2
LCM(8028,8030) = 32232420

Properties of LCM 8028 and 8030

(i) The LCM of 8030 and 8028 is associative

LCM of 8028 and 8030 = LCM of 8030 and 8028

Related Least Common Multiples of 8028

Related Least Common Multiples of 8030

Frequently Asked Questions on LCM of 8028 and 8030

1. What is the LCM of 8028 and 8030?

Answer: LCM of 8028 and 8030 is 32232420.

2. What are the Factors of 8028?

Answer: Factors of 8028 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 223, 446, 669, 892, 1338, 2007, 2676, 4014, 8028. There are 18 integers that are factors of 8028. The greatest factor of 8028 is 8028.

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 8028 and 8030?

Answer:

Least Common Multiple of 8028 and 8030 = 32232420

Step 1: Find the prime factorization of 8028

8028 = 2 x 2 x 3 x 3 x 223

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 = 32232420 = 2 x 2 x 3 x 3 x 5 x 11 x 73 x 223

Step 4: Therefore, the least common multiple of 8028 and 8030 is 32232420.