Least Common Multiple of 2031 and 2034

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2031 and 2034 the smallest integer that is 1377018 that is divisible by both numbers.

Least Common Multiple (LCM) of 2031 and 2034 is 1377018.

LCM(2031,2034) = 1377018

LCM of 2031 and 2034

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

LCM of:
and

Least Common Multiple of 2031 and 2034

LCM of 2031 and 2034 is 1377018

Least common multiple can be found by multiplying the highest exponent prime factors of 2031 and 2034. First we will calculate the prime factors of 2031 and 2034.

Prime Factorization of 2031


3 2031
677 677
1

Prime factors of 2031 are 3,677. Prime factorization of 2031 in exponential form is:

2031 = 31×6771

Prime Factorization of 2034


2 2034
3 1017
3 339
113 113
1

Prime factors of 2034 are 2, 3,113. Prime factorization of 2034 in exponential form is:

2034 = 21×32×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 2031 and 2034.

LCM(2031,2034) = 21×32×1131×6771
LCM(2031,2034) = 1377018

Factors of 2031

List of positive integer factors of 2031 that divides 2031 without a remainder.

1, 3, 677, 2031

Factors of 2034

List of positive integer factors of 2034 that divides 2034 without a remainder.

1, 2, 3, 6, 9, 18, 113, 226, 339, 678, 1017, 2034

Least Common Multiple of 2031 and 2034 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2031 and 2034, than apply into the LCM equation.

GCF(2031,2034) = 3
LCM(2031,2034) = ( 2031 × 2034) / 3
LCM(2031,2034) = 4131054 / 3
LCM(2031,2034) = 1377018

Properties of LCM 2031 and 2034

(i) The LCM of 2034 and 2031 is associative

LCM of 2031 and 2034 = LCM of 2034 and 2031

Related Least Common Multiples of 2031

Related Least Common Multiples of 2034

Frequently Asked Questions on LCM of 2031 and 2034

1. What is the LCM of 2031 and 2034?

Answer: LCM of 2031 and 2034 is 1377018.

2. What are the Factors of 2031?

Answer: Factors of 2031 are 1, 3, 677, 2031. There are 4 integers that are factors of 2031. The greatest factor of 2031 is 2031.

3. What are the Factors of 2034?

Answer: Factors of 2034 are 1, 2, 3, 6, 9, 18, 113, 226, 339, 678, 1017, 2034. There are 12 integers that are factors of 2034. The greatest factor of 2034 is 2034.

4. How to Find the LCM of 2031 and 2034?

Answer:

Least Common Multiple of 2031 and 2034 = 1377018

Step 1: Find the prime factorization of 2031

2031 = 3 x 677

Step 2: Find the prime factorization of 2034

2034 = 2 x 3 x 3 x 113

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

LCM = 1377018 = 2 x 3 x 3 x 113 x 677

Step 4: Therefore, the least common multiple of 2031 and 2034 is 1377018.