Least Common Multiple of 7037 and 7044

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7037 and 7044 the smallest integer that is 49568628 that is divisible by both numbers.

Least Common Multiple (LCM) of 7037 and 7044 is 49568628.

LCM(7037,7044) = 49568628

LCM of 7037 and 7044

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

LCM of:
and

Least Common Multiple of 7037 and 7044

LCM of 7037 and 7044 is 49568628

Least common multiple can be found by multiplying the highest exponent prime factors of 7037 and 7044. First we will calculate the prime factors of 7037 and 7044.

Prime Factorization of 7037


31 7037
227 227
1

Prime factors of 7037 are 31,227. Prime factorization of 7037 in exponential form is:

7037 = 311×2271

Prime Factorization of 7044


2 7044
2 3522
3 1761
587 587
1

Prime factors of 7044 are 2, 3,587. Prime factorization of 7044 in exponential form is:

7044 = 22×31×5871

Now multiplying the highest exponent prime factors to calculate the LCM of 7037 and 7044.

LCM(7037,7044) = 22×31×311×2271×5871
LCM(7037,7044) = 49568628

Factors of 7037

List of positive integer factors of 7037 that divides 7037 without a remainder.

1, 31, 227, 7037

Factors of 7044

List of positive integer factors of 7044 that divides 7044 without a remainder.

1, 2, 3, 4, 6, 12, 587, 1174, 1761, 2348, 3522, 7044

Least Common Multiple of 7037 and 7044 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7037 and 7044, than apply into the LCM equation.

GCF(7037,7044) = 1
LCM(7037,7044) = ( 7037 × 7044) / 1
LCM(7037,7044) = 49568628 / 1
LCM(7037,7044) = 49568628

Properties of LCM 7037 and 7044

(i) The LCM of 7044 and 7037 is associative

LCM of 7037 and 7044 = LCM of 7044 and 7037

Related Least Common Multiples of 7037

Related Least Common Multiples of 7044

Frequently Asked Questions on LCM of 7037 and 7044

1. What is the LCM of 7037 and 7044?

Answer: LCM of 7037 and 7044 is 49568628.

2. What are the Factors of 7037?

Answer: Factors of 7037 are 1, 31, 227, 7037. There are 4 integers that are factors of 7037. The greatest factor of 7037 is 7037.

3. What are the Factors of 7044?

Answer: Factors of 7044 are 1, 2, 3, 4, 6, 12, 587, 1174, 1761, 2348, 3522, 7044. There are 12 integers that are factors of 7044. The greatest factor of 7044 is 7044.

4. How to Find the LCM of 7037 and 7044?

Answer:

Least Common Multiple of 7037 and 7044 = 49568628

Step 1: Find the prime factorization of 7037

7037 = 31 x 227

Step 2: Find the prime factorization of 7044

7044 = 2 x 2 x 3 x 587

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

LCM = 49568628 = 2 x 2 x 3 x 31 x 227 x 587

Step 4: Therefore, the least common multiple of 7037 and 7044 is 49568628.