Least Common Multiple of 8028 and 8035

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 8035 the smallest integer that is 64504980 that is divisible by both numbers.

Least Common Multiple (LCM) of 8028 and 8035 is 64504980.

LCM(8028,8035) = 64504980

LCM of 8028 and 8035

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

LCM of:
and

Least Common Multiple of 8028 and 8035

LCM of 8028 and 8035 is 64504980

Least common multiple can be found by multiplying the highest exponent prime factors of 8028 and 8035. First we will calculate the prime factors of 8028 and 8035.

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 8035


5 8035
1607 1607
1

Prime factors of 8035 are 5,1607. Prime factorization of 8035 in exponential form is:

8035 = 51×16071

Now multiplying the highest exponent prime factors to calculate the LCM of 8028 and 8035.

LCM(8028,8035) = 22×32×51×2231×16071
LCM(8028,8035) = 64504980

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 8035

List of positive integer factors of 8035 that divides 8035 without a remainder.

1, 5, 1607, 8035

Least Common Multiple of 8028 and 8035 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 8035, than apply into the LCM equation.

GCF(8028,8035) = 1
LCM(8028,8035) = ( 8028 × 8035) / 1
LCM(8028,8035) = 64504980 / 1
LCM(8028,8035) = 64504980

Properties of LCM 8028 and 8035

(i) The LCM of 8035 and 8028 is associative

LCM of 8028 and 8035 = LCM of 8035 and 8028

Related Least Common Multiples of 8028

Related Least Common Multiples of 8035

Frequently Asked Questions on LCM of 8028 and 8035

1. What is the LCM of 8028 and 8035?

Answer: LCM of 8028 and 8035 is 64504980.

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 8035?

Answer: Factors of 8035 are 1, 5, 1607, 8035. There are 4 integers that are factors of 8035. The greatest factor of 8035 is 8035.

4. How to Find the LCM of 8028 and 8035?

Answer:

Least Common Multiple of 8028 and 8035 = 64504980

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 8035

8035 = 5 x 1607

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

LCM = 64504980 = 2 x 2 x 3 x 3 x 5 x 223 x 1607

Step 4: Therefore, the least common multiple of 8028 and 8035 is 64504980.