Least Common Multiple of 6032 and 6040

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6032 and 6040 the smallest integer that is 4554160 that is divisible by both numbers.

Least Common Multiple (LCM) of 6032 and 6040 is 4554160.

LCM(6032,6040) = 4554160

LCM of 6032 and 6040

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

LCM of:
and

Least Common Multiple of 6032 and 6040

LCM of 6032 and 6040 is 4554160

Least common multiple can be found by multiplying the highest exponent prime factors of 6032 and 6040. First we will calculate the prime factors of 6032 and 6040.

Prime Factorization of 6032


2 6032
2 3016
2 1508
2 754
13 377
29 29
1

Prime factors of 6032 are 2, 13,29. Prime factorization of 6032 in exponential form is:

6032 = 24×131×291

Prime Factorization of 6040


2 6040
2 3020
2 1510
5 755
151 151
1

Prime factors of 6040 are 2, 5,151. Prime factorization of 6040 in exponential form is:

6040 = 23×51×1511

Now multiplying the highest exponent prime factors to calculate the LCM of 6032 and 6040.

LCM(6032,6040) = 24×51×131×291×1511
LCM(6032,6040) = 4554160

Factors of 6032

List of positive integer factors of 6032 that divides 6032 without a remainder.

1, 2, 4, 8, 13, 16, 26, 29, 52, 58, 104, 116, 208, 232, 377, 464, 754, 1508, 3016, 6032

Factors of 6040

List of positive integer factors of 6040 that divides 6040 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 151, 302, 604, 755, 1208, 1510, 3020, 6040

Least Common Multiple of 6032 and 6040 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6032 and 6040, than apply into the LCM equation.

GCF(6032,6040) = 8
LCM(6032,6040) = ( 6032 × 6040) / 8
LCM(6032,6040) = 36433280 / 8
LCM(6032,6040) = 4554160

Properties of LCM 6032 and 6040

(i) The LCM of 6040 and 6032 is associative

LCM of 6032 and 6040 = LCM of 6040 and 6032

Related Least Common Multiples of 6032

Related Least Common Multiples of 6040

Frequently Asked Questions on LCM of 6032 and 6040

1. What is the LCM of 6032 and 6040?

Answer: LCM of 6032 and 6040 is 4554160.

2. What are the Factors of 6032?

Answer: Factors of 6032 are 1, 2, 4, 8, 13, 16, 26, 29, 52, 58, 104, 116, 208, 232, 377, 464, 754, 1508, 3016, 6032. There are 20 integers that are factors of 6032. The greatest factor of 6032 is 6032.

3. What are the Factors of 6040?

Answer: Factors of 6040 are 1, 2, 4, 5, 8, 10, 20, 40, 151, 302, 604, 755, 1208, 1510, 3020, 6040. There are 16 integers that are factors of 6040. The greatest factor of 6040 is 6040.

4. How to Find the LCM of 6032 and 6040?

Answer:

Least Common Multiple of 6032 and 6040 = 4554160

Step 1: Find the prime factorization of 6032

6032 = 2 x 2 x 2 x 2 x 13 x 29

Step 2: Find the prime factorization of 6040

6040 = 2 x 2 x 2 x 5 x 151

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

LCM = 4554160 = 2 x 2 x 2 x 2 x 5 x 13 x 29 x 151

Step 4: Therefore, the least common multiple of 6032 and 6040 is 4554160.