Least Common Multiple of 7032 and 7040

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 7040 the smallest integer that is 6188160 that is divisible by both numbers.

Least Common Multiple (LCM) of 7032 and 7040 is 6188160.

LCM(7032,7040) = 6188160

LCM of 7032 and 7040

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

LCM of:
and

Least Common Multiple of 7032 and 7040

LCM of 7032 and 7040 is 6188160

Least common multiple can be found by multiplying the highest exponent prime factors of 7032 and 7040. First we will calculate the prime factors of 7032 and 7040.

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 7040


2 7040
2 3520
2 1760
2 880
2 440
2 220
2 110
5 55
11 11
1

Prime factors of 7040 are 2, 5,11. Prime factorization of 7040 in exponential form is:

7040 = 27×51×111

Now multiplying the highest exponent prime factors to calculate the LCM of 7032 and 7040.

LCM(7032,7040) = 27×31×51×111×2931
LCM(7032,7040) = 6188160

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 7040

List of positive integer factors of 7040 that divides 7040 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 32, 40, 44, 55, 64, 80, 88, 110, 128, 160, 176, 220, 320, 352, 440, 640, 704, 880, 1408, 1760, 3520, 7040

Least Common Multiple of 7032 and 7040 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 7040, than apply into the LCM equation.

GCF(7032,7040) = 8
LCM(7032,7040) = ( 7032 × 7040) / 8
LCM(7032,7040) = 49505280 / 8
LCM(7032,7040) = 6188160

Properties of LCM 7032 and 7040

(i) The LCM of 7040 and 7032 is associative

LCM of 7032 and 7040 = LCM of 7040 and 7032

Related Least Common Multiples of 7032

Related Least Common Multiples of 7040

Frequently Asked Questions on LCM of 7032 and 7040

1. What is the LCM of 7032 and 7040?

Answer: LCM of 7032 and 7040 is 6188160.

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 7040?

Answer: Factors of 7040 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 32, 40, 44, 55, 64, 80, 88, 110, 128, 160, 176, 220, 320, 352, 440, 640, 704, 880, 1408, 1760, 3520, 7040. There are 32 integers that are factors of 7040. The greatest factor of 7040 is 7040.

4. How to Find the LCM of 7032 and 7040?

Answer:

Least Common Multiple of 7032 and 7040 = 6188160

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 7040

7040 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 11

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

LCM = 6188160 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 11 x 293

Step 4: Therefore, the least common multiple of 7032 and 7040 is 6188160.