Least Common Multiple of 4030 and 4037

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4030 and 4037 the smallest integer that is 16269110 that is divisible by both numbers.

Least Common Multiple (LCM) of 4030 and 4037 is 16269110.

LCM(4030,4037) = 16269110

LCM of 4030 and 4037

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

LCM of:
and

Least Common Multiple of 4030 and 4037

LCM of 4030 and 4037 is 16269110

Least common multiple can be found by multiplying the highest exponent prime factors of 4030 and 4037. First we will calculate the prime factors of 4030 and 4037.

Prime Factorization of 4030


2 4030
5 2015
13 403
31 31
1

Prime factors of 4030 are 2, 5, 13,31. Prime factorization of 4030 in exponential form is:

4030 = 21×51×131×311

Prime Factorization of 4037


11 4037
367 367
1

Prime factors of 4037 are 11,367. Prime factorization of 4037 in exponential form is:

4037 = 111×3671

Now multiplying the highest exponent prime factors to calculate the LCM of 4030 and 4037.

LCM(4030,4037) = 21×51×111×131×311×3671
LCM(4030,4037) = 16269110

Factors of 4030

List of positive integer factors of 4030 that divides 4030 without a remainder.

1, 2, 5, 10, 13, 26, 31, 62, 65, 130, 155, 310, 403, 806, 2015, 4030

Factors of 4037

List of positive integer factors of 4037 that divides 4037 without a remainder.

1, 11, 367, 4037

Least Common Multiple of 4030 and 4037 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4030 and 4037, than apply into the LCM equation.

GCF(4030,4037) = 1
LCM(4030,4037) = ( 4030 × 4037) / 1
LCM(4030,4037) = 16269110 / 1
LCM(4030,4037) = 16269110

Properties of LCM 4030 and 4037

(i) The LCM of 4037 and 4030 is associative

LCM of 4030 and 4037 = LCM of 4037 and 4030

Related Least Common Multiples of 4030

Related Least Common Multiples of 4037

Frequently Asked Questions on LCM of 4030 and 4037

1. What is the LCM of 4030 and 4037?

Answer: LCM of 4030 and 4037 is 16269110.

2. What are the Factors of 4030?

Answer: Factors of 4030 are 1, 2, 5, 10, 13, 26, 31, 62, 65, 130, 155, 310, 403, 806, 2015, 4030. There are 16 integers that are factors of 4030. The greatest factor of 4030 is 4030.

3. What are the Factors of 4037?

Answer: Factors of 4037 are 1, 11, 367, 4037. There are 4 integers that are factors of 4037. The greatest factor of 4037 is 4037.

4. How to Find the LCM of 4030 and 4037?

Answer:

Least Common Multiple of 4030 and 4037 = 16269110

Step 1: Find the prime factorization of 4030

4030 = 2 x 5 x 13 x 31

Step 2: Find the prime factorization of 4037

4037 = 11 x 367

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

LCM = 16269110 = 2 x 5 x 11 x 13 x 31 x 367

Step 4: Therefore, the least common multiple of 4030 and 4037 is 16269110.