Least Common Multiple of 7032 and 7036

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 7036 the smallest integer that is 12369288 that is divisible by both numbers.

Least Common Multiple (LCM) of 7032 and 7036 is 12369288.

LCM(7032,7036) = 12369288

LCM of 7032 and 7036

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

LCM of:
and

Least Common Multiple of 7032 and 7036

LCM of 7032 and 7036 is 12369288

Least common multiple can be found by multiplying the highest exponent prime factors of 7032 and 7036. First we will calculate the prime factors of 7032 and 7036.

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 7036


2 7036
2 3518
1759 1759
1

Prime factors of 7036 are 2,1759. Prime factorization of 7036 in exponential form is:

7036 = 22×17591

Now multiplying the highest exponent prime factors to calculate the LCM of 7032 and 7036.

LCM(7032,7036) = 23×31×2931×17591
LCM(7032,7036) = 12369288

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 7036

List of positive integer factors of 7036 that divides 7036 without a remainder.

1, 2, 4, 1759, 3518, 7036

Least Common Multiple of 7032 and 7036 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 7036, than apply into the LCM equation.

GCF(7032,7036) = 4
LCM(7032,7036) = ( 7032 × 7036) / 4
LCM(7032,7036) = 49477152 / 4
LCM(7032,7036) = 12369288

Properties of LCM 7032 and 7036

(i) The LCM of 7036 and 7032 is associative

LCM of 7032 and 7036 = LCM of 7036 and 7032

Related Least Common Multiples of 7032

Related Least Common Multiples of 7036

Frequently Asked Questions on LCM of 7032 and 7036

1. What is the LCM of 7032 and 7036?

Answer: LCM of 7032 and 7036 is 12369288.

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 7036?

Answer: Factors of 7036 are 1, 2, 4, 1759, 3518, 7036. There are 6 integers that are factors of 7036. The greatest factor of 7036 is 7036.

4. How to Find the LCM of 7032 and 7036?

Answer:

Least Common Multiple of 7032 and 7036 = 12369288

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 7036

7036 = 2 x 2 x 1759

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

LCM = 12369288 = 2 x 2 x 2 x 3 x 293 x 1759

Step 4: Therefore, the least common multiple of 7032 and 7036 is 12369288.