Least Common Multiple of 6039 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 6039 and 6040 the smallest integer that is 36475560 that is divisible by both numbers.

Least Common Multiple (LCM) of 6039 and 6040 is 36475560.

LCM(6039,6040) = 36475560

LCM of 6039 and 6040

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

LCM of:
and

Least Common Multiple of 6039 and 6040

LCM of 6039 and 6040 is 36475560

Least common multiple can be found by multiplying the highest exponent prime factors of 6039 and 6040. First we will calculate the prime factors of 6039 and 6040.

Prime Factorization of 6039


3 6039
3 2013
11 671
61 61
1

Prime factors of 6039 are 3, 11,61. Prime factorization of 6039 in exponential form is:

6039 = 32×111×611

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 6039 and 6040.

LCM(6039,6040) = 23×32×51×111×611×1511
LCM(6039,6040) = 36475560

Factors of 6039

List of positive integer factors of 6039 that divides 6039 without a remainder.

1, 3, 9, 11, 33, 61, 99, 183, 549, 671, 2013, 6039

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 6039 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 6039 and 6040, than apply into the LCM equation.

GCF(6039,6040) = 1
LCM(6039,6040) = ( 6039 × 6040) / 1
LCM(6039,6040) = 36475560 / 1
LCM(6039,6040) = 36475560

Properties of LCM 6039 and 6040

(i) The LCM of 6040 and 6039 is associative

LCM of 6039 and 6040 = LCM of 6040 and 6039

Related Least Common Multiples of 6039

Related Least Common Multiples of 6040

Frequently Asked Questions on LCM of 6039 and 6040

1. What is the LCM of 6039 and 6040?

Answer: LCM of 6039 and 6040 is 36475560.

2. What are the Factors of 6039?

Answer: Factors of 6039 are 1, 3, 9, 11, 33, 61, 99, 183, 549, 671, 2013, 6039. There are 12 integers that are factors of 6039. The greatest factor of 6039 is 6039.

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 6039 and 6040?

Answer:

Least Common Multiple of 6039 and 6040 = 36475560

Step 1: Find the prime factorization of 6039

6039 = 3 x 3 x 11 x 61

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 = 36475560 = 2 x 2 x 2 x 3 x 3 x 5 x 11 x 61 x 151

Step 4: Therefore, the least common multiple of 6039 and 6040 is 36475560.