Least Common Multiple of 4020 and 4028

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4020 and 4028 the smallest integer that is 4048140 that is divisible by both numbers.

Least Common Multiple (LCM) of 4020 and 4028 is 4048140.

LCM(4020,4028) = 4048140

LCM of 4020 and 4028

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

LCM of:
and

Least Common Multiple of 4020 and 4028

LCM of 4020 and 4028 is 4048140

Least common multiple can be found by multiplying the highest exponent prime factors of 4020 and 4028. First we will calculate the prime factors of 4020 and 4028.

Prime Factorization of 4020


2 4020
2 2010
3 1005
5 335
67 67
1

Prime factors of 4020 are 2, 3, 5,67. Prime factorization of 4020 in exponential form is:

4020 = 22×31×51×671

Prime Factorization of 4028


2 4028
2 2014
19 1007
53 53
1

Prime factors of 4028 are 2, 19,53. Prime factorization of 4028 in exponential form is:

4028 = 22×191×531

Now multiplying the highest exponent prime factors to calculate the LCM of 4020 and 4028.

LCM(4020,4028) = 22×31×51×191×531×671
LCM(4020,4028) = 4048140

Factors of 4020

List of positive integer factors of 4020 that divides 4020 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 67, 134, 201, 268, 335, 402, 670, 804, 1005, 1340, 2010, 4020

Factors of 4028

List of positive integer factors of 4028 that divides 4028 without a remainder.

1, 2, 4, 19, 38, 53, 76, 106, 212, 1007, 2014, 4028

Least Common Multiple of 4020 and 4028 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4020 and 4028, than apply into the LCM equation.

GCF(4020,4028) = 4
LCM(4020,4028) = ( 4020 × 4028) / 4
LCM(4020,4028) = 16192560 / 4
LCM(4020,4028) = 4048140

Properties of LCM 4020 and 4028

(i) The LCM of 4028 and 4020 is associative

LCM of 4020 and 4028 = LCM of 4028 and 4020

Related Least Common Multiples of 4020

Related Least Common Multiples of 4028

Frequently Asked Questions on LCM of 4020 and 4028

1. What is the LCM of 4020 and 4028?

Answer: LCM of 4020 and 4028 is 4048140.

2. What are the Factors of 4020?

Answer: Factors of 4020 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 67, 134, 201, 268, 335, 402, 670, 804, 1005, 1340, 2010, 4020. There are 24 integers that are factors of 4020. The greatest factor of 4020 is 4020.

3. What are the Factors of 4028?

Answer: Factors of 4028 are 1, 2, 4, 19, 38, 53, 76, 106, 212, 1007, 2014, 4028. There are 12 integers that are factors of 4028. The greatest factor of 4028 is 4028.

4. How to Find the LCM of 4020 and 4028?

Answer:

Least Common Multiple of 4020 and 4028 = 4048140

Step 1: Find the prime factorization of 4020

4020 = 2 x 2 x 3 x 5 x 67

Step 2: Find the prime factorization of 4028

4028 = 2 x 2 x 19 x 53

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

LCM = 4048140 = 2 x 2 x 3 x 5 x 19 x 53 x 67

Step 4: Therefore, the least common multiple of 4020 and 4028 is 4048140.