Least Common Multiple of 2027 and 2028

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2027 and 2028 the smallest integer that is 4110756 that is divisible by both numbers.

Least Common Multiple (LCM) of 2027 and 2028 is 4110756.

LCM(2027,2028) = 4110756

LCM of 2027 and 2028

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

LCM of:
and

Least Common Multiple of 2027 and 2028

LCM of 2027 and 2028 is 4110756

Least common multiple can be found by multiplying the highest exponent prime factors of 2027 and 2028. First we will calculate the prime factors of 2027 and 2028.

Prime Factorization of 2027


2027 2027
1

Prime factors of 2027 are 2027. Prime factorization of 2027 in exponential form is:

2027 = 20271

Prime Factorization of 2028


2 2028
2 1014
3 507
13 169
13 13
1

Prime factors of 2028 are 2, 3,13. Prime factorization of 2028 in exponential form is:

2028 = 22×31×132

Now multiplying the highest exponent prime factors to calculate the LCM of 2027 and 2028.

LCM(2027,2028) = 22×31×132×20271
LCM(2027,2028) = 4110756

Factors of 2027

List of positive integer factors of 2027 that divides 2027 without a remainder.

1, 2027

Factors of 2028

List of positive integer factors of 2028 that divides 2028 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 169, 338, 507, 676, 1014, 2028

Least Common Multiple of 2027 and 2028 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2027 and 2028, than apply into the LCM equation.

GCF(2027,2028) = 1
LCM(2027,2028) = ( 2027 × 2028) / 1
LCM(2027,2028) = 4110756 / 1
LCM(2027,2028) = 4110756

Properties of LCM 2027 and 2028

(i) The LCM of 2028 and 2027 is associative

LCM of 2027 and 2028 = LCM of 2028 and 2027

Related Least Common Multiples of 2027

Related Least Common Multiples of 2028

Frequently Asked Questions on LCM of 2027 and 2028

1. What is the LCM of 2027 and 2028?

Answer: LCM of 2027 and 2028 is 4110756.

2. What are the Factors of 2027?

Answer: Factors of 2027 are 1, 2027. There are 2 integers that are factors of 2027. The greatest factor of 2027 is 2027.

3. What are the Factors of 2028?

Answer: Factors of 2028 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 169, 338, 507, 676, 1014, 2028. There are 18 integers that are factors of 2028. The greatest factor of 2028 is 2028.

4. How to Find the LCM of 2027 and 2028?

Answer:

Least Common Multiple of 2027 and 2028 = 4110756

Step 1: Find the prime factorization of 2027

2027 = 2027

Step 2: Find the prime factorization of 2028

2028 = 2 x 2 x 3 x 13 x 13

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

LCM = 4110756 = 2 x 2 x 3 x 13 x 13 x 2027

Step 4: Therefore, the least common multiple of 2027 and 2028 is 4110756.