Least Common Multiple of 8032 and 8040

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8032 and 8040 the smallest integer that is 8072160 that is divisible by both numbers.

Least Common Multiple (LCM) of 8032 and 8040 is 8072160.

LCM(8032,8040) = 8072160

LCM of 8032 and 8040

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

LCM of:
and

Least Common Multiple of 8032 and 8040

LCM of 8032 and 8040 is 8072160

Least common multiple can be found by multiplying the highest exponent prime factors of 8032 and 8040. First we will calculate the prime factors of 8032 and 8040.

Prime Factorization of 8032


2 8032
2 4016
2 2008
2 1004
2 502
251 251
1

Prime factors of 8032 are 2,251. Prime factorization of 8032 in exponential form is:

8032 = 25×2511

Prime Factorization of 8040


2 8040
2 4020
2 2010
3 1005
5 335
67 67
1

Prime factors of 8040 are 2, 3, 5,67. Prime factorization of 8040 in exponential form is:

8040 = 23×31×51×671

Now multiplying the highest exponent prime factors to calculate the LCM of 8032 and 8040.

LCM(8032,8040) = 25×31×51×671×2511
LCM(8032,8040) = 8072160

Factors of 8032

List of positive integer factors of 8032 that divides 8032 without a remainder.

1, 2, 4, 8, 16, 32, 251, 502, 1004, 2008, 4016, 8032

Factors of 8040

List of positive integer factors of 8040 that divides 8040 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 67, 120, 134, 201, 268, 335, 402, 536, 670, 804, 1005, 1340, 1608, 2010, 2680, 4020, 8040

Least Common Multiple of 8032 and 8040 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8032 and 8040, than apply into the LCM equation.

GCF(8032,8040) = 8
LCM(8032,8040) = ( 8032 × 8040) / 8
LCM(8032,8040) = 64577280 / 8
LCM(8032,8040) = 8072160

Properties of LCM 8032 and 8040

(i) The LCM of 8040 and 8032 is associative

LCM of 8032 and 8040 = LCM of 8040 and 8032

Related Least Common Multiples of 8032

Related Least Common Multiples of 8040

Frequently Asked Questions on LCM of 8032 and 8040

1. What is the LCM of 8032 and 8040?

Answer: LCM of 8032 and 8040 is 8072160.

2. What are the Factors of 8032?

Answer: Factors of 8032 are 1, 2, 4, 8, 16, 32, 251, 502, 1004, 2008, 4016, 8032. There are 12 integers that are factors of 8032. The greatest factor of 8032 is 8032.

3. What are the Factors of 8040?

Answer: Factors of 8040 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 67, 120, 134, 201, 268, 335, 402, 536, 670, 804, 1005, 1340, 1608, 2010, 2680, 4020, 8040. There are 32 integers that are factors of 8040. The greatest factor of 8040 is 8040.

4. How to Find the LCM of 8032 and 8040?

Answer:

Least Common Multiple of 8032 and 8040 = 8072160

Step 1: Find the prime factorization of 8032

8032 = 2 x 2 x 2 x 2 x 2 x 251

Step 2: Find the prime factorization of 8040

8040 = 2 x 2 x 2 x 3 x 5 x 67

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

LCM = 8072160 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 67 x 251

Step 4: Therefore, the least common multiple of 8032 and 8040 is 8072160.