Least Common Multiple of 2030 and 2038

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2030 and 2038 the smallest integer that is 2068570 that is divisible by both numbers.

Least Common Multiple (LCM) of 2030 and 2038 is 2068570.

LCM(2030,2038) = 2068570

LCM of 2030 and 2038

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

LCM of:
and

Least Common Multiple of 2030 and 2038

LCM of 2030 and 2038 is 2068570

Least common multiple can be found by multiplying the highest exponent prime factors of 2030 and 2038. First we will calculate the prime factors of 2030 and 2038.

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

Prime Factorization of 2038


2 2038
1019 1019
1

Prime factors of 2038 are 2,1019. Prime factorization of 2038 in exponential form is:

2038 = 21×10191

Now multiplying the highest exponent prime factors to calculate the LCM of 2030 and 2038.

LCM(2030,2038) = 21×51×71×291×10191
LCM(2030,2038) = 2068570

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

Factors of 2038

List of positive integer factors of 2038 that divides 2038 without a remainder.

1, 2, 1019, 2038

Least Common Multiple of 2030 and 2038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2030 and 2038, than apply into the LCM equation.

GCF(2030,2038) = 2
LCM(2030,2038) = ( 2030 × 2038) / 2
LCM(2030,2038) = 4137140 / 2
LCM(2030,2038) = 2068570

Properties of LCM 2030 and 2038

(i) The LCM of 2038 and 2030 is associative

LCM of 2030 and 2038 = LCM of 2038 and 2030

Related Least Common Multiples of 2030

Related Least Common Multiples of 2038

Frequently Asked Questions on LCM of 2030 and 2038

1. What is the LCM of 2030 and 2038?

Answer: LCM of 2030 and 2038 is 2068570.

2. 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.

3. What are the Factors of 2038?

Answer: Factors of 2038 are 1, 2, 1019, 2038. There are 4 integers that are factors of 2038. The greatest factor of 2038 is 2038.

4. How to Find the LCM of 2030 and 2038?

Answer:

Least Common Multiple of 2030 and 2038 = 2068570

Step 1: Find the prime factorization of 2030

2030 = 2 x 5 x 7 x 29

Step 2: Find the prime factorization of 2038

2038 = 2 x 1019

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

LCM = 2068570 = 2 x 5 x 7 x 29 x 1019

Step 4: Therefore, the least common multiple of 2030 and 2038 is 2068570.