Least Common Multiple of 8021 and 8028

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8021 and 8028 the smallest integer that is 64392588 that is divisible by both numbers.

Least Common Multiple (LCM) of 8021 and 8028 is 64392588.

LCM(8021,8028) = 64392588

LCM of 8021 and 8028

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

LCM of:
and

Least Common Multiple of 8021 and 8028

LCM of 8021 and 8028 is 64392588

Least common multiple can be found by multiplying the highest exponent prime factors of 8021 and 8028. First we will calculate the prime factors of 8021 and 8028.

Prime Factorization of 8021


13 8021
617 617
1

Prime factors of 8021 are 13,617. Prime factorization of 8021 in exponential form is:

8021 = 131×6171

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8021 and 8028.

LCM(8021,8028) = 22×32×131×2231×6171
LCM(8021,8028) = 64392588

Factors of 8021

List of positive integer factors of 8021 that divides 8021 without a remainder.

1, 13, 617, 8021

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

Least Common Multiple of 8021 and 8028 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8021 and 8028, than apply into the LCM equation.

GCF(8021,8028) = 1
LCM(8021,8028) = ( 8021 × 8028) / 1
LCM(8021,8028) = 64392588 / 1
LCM(8021,8028) = 64392588

Properties of LCM 8021 and 8028

(i) The LCM of 8028 and 8021 is associative

LCM of 8021 and 8028 = LCM of 8028 and 8021

Related Least Common Multiples of 8021

Related Least Common Multiples of 8028

Frequently Asked Questions on LCM of 8021 and 8028

1. What is the LCM of 8021 and 8028?

Answer: LCM of 8021 and 8028 is 64392588.

2. What are the Factors of 8021?

Answer: Factors of 8021 are 1, 13, 617, 8021. There are 4 integers that are factors of 8021. The greatest factor of 8021 is 8021.

3. 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.

4. How to Find the LCM of 8021 and 8028?

Answer:

Least Common Multiple of 8021 and 8028 = 64392588

Step 1: Find the prime factorization of 8021

8021 = 13 x 617

Step 2: Find the prime factorization of 8028

8028 = 2 x 2 x 3 x 3 x 223

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

LCM = 64392588 = 2 x 2 x 3 x 3 x 13 x 223 x 617

Step 4: Therefore, the least common multiple of 8021 and 8028 is 64392588.