Least Common Multiple of 6040 and 6045

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6040 and 6045 the smallest integer that is 7302360 that is divisible by both numbers.

Least Common Multiple (LCM) of 6040 and 6045 is 7302360.

LCM(6040,6045) = 7302360

LCM of 6040 and 6045

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

LCM of:
and

Least Common Multiple of 6040 and 6045

LCM of 6040 and 6045 is 7302360

Least common multiple can be found by multiplying the highest exponent prime factors of 6040 and 6045. First we will calculate the prime factors of 6040 and 6045.

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

Prime Factorization of 6045


3 6045
5 2015
13 403
31 31
1

Prime factors of 6045 are 3, 5, 13,31. Prime factorization of 6045 in exponential form is:

6045 = 31×51×131×311

Now multiplying the highest exponent prime factors to calculate the LCM of 6040 and 6045.

LCM(6040,6045) = 23×31×51×131×311×1511
LCM(6040,6045) = 7302360

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

Factors of 6045

List of positive integer factors of 6045 that divides 6045 without a remainder.

1, 3, 5, 13, 15, 31, 39, 65, 93, 155, 195, 403, 465, 1209, 2015, 6045

Least Common Multiple of 6040 and 6045 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6040 and 6045, than apply into the LCM equation.

GCF(6040,6045) = 5
LCM(6040,6045) = ( 6040 × 6045) / 5
LCM(6040,6045) = 36511800 / 5
LCM(6040,6045) = 7302360

Properties of LCM 6040 and 6045

(i) The LCM of 6045 and 6040 is associative

LCM of 6040 and 6045 = LCM of 6045 and 6040

Related Least Common Multiples of 6040

Related Least Common Multiples of 6045

Frequently Asked Questions on LCM of 6040 and 6045

1. What is the LCM of 6040 and 6045?

Answer: LCM of 6040 and 6045 is 7302360.

2. 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.

3. What are the Factors of 6045?

Answer: Factors of 6045 are 1, 3, 5, 13, 15, 31, 39, 65, 93, 155, 195, 403, 465, 1209, 2015, 6045. There are 16 integers that are factors of 6045. The greatest factor of 6045 is 6045.

4. How to Find the LCM of 6040 and 6045?

Answer:

Least Common Multiple of 6040 and 6045 = 7302360

Step 1: Find the prime factorization of 6040

6040 = 2 x 2 x 2 x 5 x 151

Step 2: Find the prime factorization of 6045

6045 = 3 x 5 x 13 x 31

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

LCM = 7302360 = 2 x 2 x 2 x 3 x 5 x 13 x 31 x 151

Step 4: Therefore, the least common multiple of 6040 and 6045 is 7302360.