Least Common Multiple of 7032 and 7037

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7032 and 7037 the smallest integer that is 49484184 that is divisible by both numbers.

Least Common Multiple (LCM) of 7032 and 7037 is 49484184.

LCM(7032,7037) = 49484184

LCM of 7032 and 7037

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

LCM of:
and

Least Common Multiple of 7032 and 7037

LCM of 7032 and 7037 is 49484184

Least common multiple can be found by multiplying the highest exponent prime factors of 7032 and 7037. First we will calculate the prime factors of 7032 and 7037.

Prime Factorization of 7032


2 7032
2 3516
2 1758
3 879
293 293
1

Prime factors of 7032 are 2, 3,293. Prime factorization of 7032 in exponential form is:

7032 = 23×31×2931

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7032 and 7037.

LCM(7032,7037) = 23×31×311×2271×2931
LCM(7032,7037) = 49484184

Factors of 7032

List of positive integer factors of 7032 that divides 7032 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 293, 586, 879, 1172, 1758, 2344, 3516, 7032

Factors of 7037

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

1, 31, 227, 7037

Least Common Multiple of 7032 and 7037 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7032 and 7037, than apply into the LCM equation.

GCF(7032,7037) = 1
LCM(7032,7037) = ( 7032 × 7037) / 1
LCM(7032,7037) = 49484184 / 1
LCM(7032,7037) = 49484184

Properties of LCM 7032 and 7037

(i) The LCM of 7037 and 7032 is associative

LCM of 7032 and 7037 = LCM of 7037 and 7032

Related Least Common Multiples of 7032

Related Least Common Multiples of 7037

Frequently Asked Questions on LCM of 7032 and 7037

1. What is the LCM of 7032 and 7037?

Answer: LCM of 7032 and 7037 is 49484184.

2. What are the Factors of 7032?

Answer: Factors of 7032 are 1, 2, 3, 4, 6, 8, 12, 24, 293, 586, 879, 1172, 1758, 2344, 3516, 7032. There are 16 integers that are factors of 7032. The greatest factor of 7032 is 7032.

3. 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.

4. How to Find the LCM of 7032 and 7037?

Answer:

Least Common Multiple of 7032 and 7037 = 49484184

Step 1: Find the prime factorization of 7032

7032 = 2 x 2 x 2 x 3 x 293

Step 2: Find the prime factorization of 7037

7037 = 31 x 227

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

LCM = 49484184 = 2 x 2 x 2 x 3 x 31 x 227 x 293

Step 4: Therefore, the least common multiple of 7032 and 7037 is 49484184.