Least Common Multiple of 2034 and 2037

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2034 and 2037 the smallest integer that is 1381086 that is divisible by both numbers.

Least Common Multiple (LCM) of 2034 and 2037 is 1381086.

LCM(2034,2037) = 1381086

LCM of 2034 and 2037

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

LCM of:
and

Least Common Multiple of 2034 and 2037

LCM of 2034 and 2037 is 1381086

Least common multiple can be found by multiplying the highest exponent prime factors of 2034 and 2037. First we will calculate the prime factors of 2034 and 2037.

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

Prime Factorization of 2037


3 2037
7 679
97 97
1

Prime factors of 2037 are 3, 7,97. Prime factorization of 2037 in exponential form is:

2037 = 31×71×971

Now multiplying the highest exponent prime factors to calculate the LCM of 2034 and 2037.

LCM(2034,2037) = 21×32×71×971×1131
LCM(2034,2037) = 1381086

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

Factors of 2037

List of positive integer factors of 2037 that divides 2037 without a remainder.

1, 3, 7, 21, 97, 291, 679, 2037

Least Common Multiple of 2034 and 2037 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2034 and 2037, than apply into the LCM equation.

GCF(2034,2037) = 3
LCM(2034,2037) = ( 2034 × 2037) / 3
LCM(2034,2037) = 4143258 / 3
LCM(2034,2037) = 1381086

Properties of LCM 2034 and 2037

(i) The LCM of 2037 and 2034 is associative

LCM of 2034 and 2037 = LCM of 2037 and 2034

Related Least Common Multiples of 2034

Related Least Common Multiples of 2037

Frequently Asked Questions on LCM of 2034 and 2037

1. What is the LCM of 2034 and 2037?

Answer: LCM of 2034 and 2037 is 1381086.

2. 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.

3. What are the Factors of 2037?

Answer: Factors of 2037 are 1, 3, 7, 21, 97, 291, 679, 2037. There are 8 integers that are factors of 2037. The greatest factor of 2037 is 2037.

4. How to Find the LCM of 2034 and 2037?

Answer:

Least Common Multiple of 2034 and 2037 = 1381086

Step 1: Find the prime factorization of 2034

2034 = 2 x 3 x 3 x 113

Step 2: Find the prime factorization of 2037

2037 = 3 x 7 x 97

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

LCM = 1381086 = 2 x 3 x 3 x 7 x 97 x 113

Step 4: Therefore, the least common multiple of 2034 and 2037 is 1381086.