Least Common Multiple of 6035 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 6035 and 6040 the smallest integer that is 7290280 that is divisible by both numbers.

Least Common Multiple (LCM) of 6035 and 6040 is 7290280.

LCM(6035,6040) = 7290280

LCM of 6035 and 6040

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

LCM of:
and

Least Common Multiple of 6035 and 6040

LCM of 6035 and 6040 is 7290280

Least common multiple can be found by multiplying the highest exponent prime factors of 6035 and 6040. First we will calculate the prime factors of 6035 and 6040.

Prime Factorization of 6035


5 6035
17 1207
71 71
1

Prime factors of 6035 are 5, 17,71. Prime factorization of 6035 in exponential form is:

6035 = 51×171×711

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 6035 and 6040.

LCM(6035,6040) = 23×51×171×711×1511
LCM(6035,6040) = 7290280

Factors of 6035

List of positive integer factors of 6035 that divides 6035 without a remainder.

1, 5, 17, 71, 85, 355, 1207, 6035

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 6035 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 6035 and 6040, than apply into the LCM equation.

GCF(6035,6040) = 5
LCM(6035,6040) = ( 6035 × 6040) / 5
LCM(6035,6040) = 36451400 / 5
LCM(6035,6040) = 7290280

Properties of LCM 6035 and 6040

(i) The LCM of 6040 and 6035 is associative

LCM of 6035 and 6040 = LCM of 6040 and 6035

Related Least Common Multiples of 6035

Related Least Common Multiples of 6040

Frequently Asked Questions on LCM of 6035 and 6040

1. What is the LCM of 6035 and 6040?

Answer: LCM of 6035 and 6040 is 7290280.

2. What are the Factors of 6035?

Answer: Factors of 6035 are 1, 5, 17, 71, 85, 355, 1207, 6035. There are 8 integers that are factors of 6035. The greatest factor of 6035 is 6035.

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 6035 and 6040?

Answer:

Least Common Multiple of 6035 and 6040 = 7290280

Step 1: Find the prime factorization of 6035

6035 = 5 x 17 x 71

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 = 7290280 = 2 x 2 x 2 x 5 x 17 x 71 x 151

Step 4: Therefore, the least common multiple of 6035 and 6040 is 7290280.