Least Common Multiple of 2032 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 2032 and 2037 the smallest integer that is 4139184 that is divisible by both numbers.

Least Common Multiple (LCM) of 2032 and 2037 is 4139184.

LCM(2032,2037) = 4139184

LCM of 2032 and 2037

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

LCM of:
and

Least Common Multiple of 2032 and 2037

LCM of 2032 and 2037 is 4139184

Least common multiple can be found by multiplying the highest exponent prime factors of 2032 and 2037. First we will calculate the prime factors of 2032 and 2037.

Prime Factorization of 2032


2 2032
2 1016
2 508
2 254
127 127
1

Prime factors of 2032 are 2,127. Prime factorization of 2032 in exponential form is:

2032 = 24×1271

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 2032 and 2037.

LCM(2032,2037) = 24×31×71×971×1271
LCM(2032,2037) = 4139184

Factors of 2032

List of positive integer factors of 2032 that divides 2032 without a remainder.

1, 2, 4, 8, 16, 127, 254, 508, 1016, 2032

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 2032 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 2032 and 2037, than apply into the LCM equation.

GCF(2032,2037) = 1
LCM(2032,2037) = ( 2032 × 2037) / 1
LCM(2032,2037) = 4139184 / 1
LCM(2032,2037) = 4139184

Properties of LCM 2032 and 2037

(i) The LCM of 2037 and 2032 is associative

LCM of 2032 and 2037 = LCM of 2037 and 2032

Related Least Common Multiples of 2032

Related Least Common Multiples of 2037

Frequently Asked Questions on LCM of 2032 and 2037

1. What is the LCM of 2032 and 2037?

Answer: LCM of 2032 and 2037 is 4139184.

2. What are the Factors of 2032?

Answer: Factors of 2032 are 1, 2, 4, 8, 16, 127, 254, 508, 1016, 2032. There are 10 integers that are factors of 2032. The greatest factor of 2032 is 2032.

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 2032 and 2037?

Answer:

Least Common Multiple of 2032 and 2037 = 4139184

Step 1: Find the prime factorization of 2032

2032 = 2 x 2 x 2 x 2 x 127

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 = 4139184 = 2 x 2 x 2 x 2 x 3 x 7 x 97 x 127

Step 4: Therefore, the least common multiple of 2032 and 2037 is 4139184.