Least Common Multiple of 6036 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 6036 and 6040 the smallest integer that is 9114360 that is divisible by both numbers.

Least Common Multiple (LCM) of 6036 and 6040 is 9114360.

LCM(6036,6040) = 9114360

LCM of 6036 and 6040

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

LCM of:
and

Least Common Multiple of 6036 and 6040

LCM of 6036 and 6040 is 9114360

Least common multiple can be found by multiplying the highest exponent prime factors of 6036 and 6040. First we will calculate the prime factors of 6036 and 6040.

Prime Factorization of 6036


2 6036
2 3018
3 1509
503 503
1

Prime factors of 6036 are 2, 3,503. Prime factorization of 6036 in exponential form is:

6036 = 22×31×5031

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 6036 and 6040.

LCM(6036,6040) = 23×31×51×1511×5031
LCM(6036,6040) = 9114360

Factors of 6036

List of positive integer factors of 6036 that divides 6036 without a remainder.

1, 2, 3, 4, 6, 12, 503, 1006, 1509, 2012, 3018, 6036

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 6036 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 6036 and 6040, than apply into the LCM equation.

GCF(6036,6040) = 4
LCM(6036,6040) = ( 6036 × 6040) / 4
LCM(6036,6040) = 36457440 / 4
LCM(6036,6040) = 9114360

Properties of LCM 6036 and 6040

(i) The LCM of 6040 and 6036 is associative

LCM of 6036 and 6040 = LCM of 6040 and 6036

Related Least Common Multiples of 6036

Related Least Common Multiples of 6040

Frequently Asked Questions on LCM of 6036 and 6040

1. What is the LCM of 6036 and 6040?

Answer: LCM of 6036 and 6040 is 9114360.

2. What are the Factors of 6036?

Answer: Factors of 6036 are 1, 2, 3, 4, 6, 12, 503, 1006, 1509, 2012, 3018, 6036. There are 12 integers that are factors of 6036. The greatest factor of 6036 is 6036.

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 6036 and 6040?

Answer:

Least Common Multiple of 6036 and 6040 = 9114360

Step 1: Find the prime factorization of 6036

6036 = 2 x 2 x 3 x 503

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 = 9114360 = 2 x 2 x 2 x 3 x 5 x 151 x 503

Step 4: Therefore, the least common multiple of 6036 and 6040 is 9114360.