Least Common Multiple of 2027 and 2030

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 2030 the smallest integer that is 4114810 that is divisible by both numbers.

Least Common Multiple (LCM) of 2027 and 2030 is 4114810.

LCM(2027,2030) = 4114810

LCM of 2027 and 2030

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

LCM of:
and

Least Common Multiple of 2027 and 2030

LCM of 2027 and 2030 is 4114810

Least common multiple can be found by multiplying the highest exponent prime factors of 2027 and 2030. First we will calculate the prime factors of 2027 and 2030.

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 2030


2 2030
5 1015
7 203
29 29
1

Prime factors of 2030 are 2, 5, 7,29. Prime factorization of 2030 in exponential form is:

2030 = 21×51×71×291

Now multiplying the highest exponent prime factors to calculate the LCM of 2027 and 2030.

LCM(2027,2030) = 21×51×71×291×20271
LCM(2027,2030) = 4114810

Factors of 2027

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

1, 2027

Factors of 2030

List of positive integer factors of 2030 that divides 2030 without a remainder.

1, 2, 5, 7, 10, 14, 29, 35, 58, 70, 145, 203, 290, 406, 1015, 2030

Least Common Multiple of 2027 and 2030 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 2030, than apply into the LCM equation.

GCF(2027,2030) = 1
LCM(2027,2030) = ( 2027 × 2030) / 1
LCM(2027,2030) = 4114810 / 1
LCM(2027,2030) = 4114810

Properties of LCM 2027 and 2030

(i) The LCM of 2030 and 2027 is associative

LCM of 2027 and 2030 = LCM of 2030 and 2027

Related Least Common Multiples of 2027

Related Least Common Multiples of 2030

Frequently Asked Questions on LCM of 2027 and 2030

1. What is the LCM of 2027 and 2030?

Answer: LCM of 2027 and 2030 is 4114810.

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 2030?

Answer: Factors of 2030 are 1, 2, 5, 7, 10, 14, 29, 35, 58, 70, 145, 203, 290, 406, 1015, 2030. There are 16 integers that are factors of 2030. The greatest factor of 2030 is 2030.

4. How to Find the LCM of 2027 and 2030?

Answer:

Least Common Multiple of 2027 and 2030 = 4114810

Step 1: Find the prime factorization of 2027

2027 = 2027

Step 2: Find the prime factorization of 2030

2030 = 2 x 5 x 7 x 29

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

LCM = 4114810 = 2 x 5 x 7 x 29 x 2027

Step 4: Therefore, the least common multiple of 2027 and 2030 is 4114810.