Least Common Multiple of 4036 and 4040

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4036 and 4040 the smallest integer that is 4076360 that is divisible by both numbers.

Least Common Multiple (LCM) of 4036 and 4040 is 4076360.

LCM(4036,4040) = 4076360

LCM of 4036 and 4040

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

LCM of:
and

Least Common Multiple of 4036 and 4040

LCM of 4036 and 4040 is 4076360

Least common multiple can be found by multiplying the highest exponent prime factors of 4036 and 4040. First we will calculate the prime factors of 4036 and 4040.

Prime Factorization of 4036


2 4036
2 2018
1009 1009
1

Prime factors of 4036 are 2,1009. Prime factorization of 4036 in exponential form is:

4036 = 22×10091

Prime Factorization of 4040


2 4040
2 2020
2 1010
5 505
101 101
1

Prime factors of 4040 are 2, 5,101. Prime factorization of 4040 in exponential form is:

4040 = 23×51×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 4036 and 4040.

LCM(4036,4040) = 23×51×1011×10091
LCM(4036,4040) = 4076360

Factors of 4036

List of positive integer factors of 4036 that divides 4036 without a remainder.

1, 2, 4, 1009, 2018, 4036

Factors of 4040

List of positive integer factors of 4040 that divides 4040 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 101, 202, 404, 505, 808, 1010, 2020, 4040

Least Common Multiple of 4036 and 4040 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4036 and 4040, than apply into the LCM equation.

GCF(4036,4040) = 4
LCM(4036,4040) = ( 4036 × 4040) / 4
LCM(4036,4040) = 16305440 / 4
LCM(4036,4040) = 4076360

Properties of LCM 4036 and 4040

(i) The LCM of 4040 and 4036 is associative

LCM of 4036 and 4040 = LCM of 4040 and 4036

Related Least Common Multiples of 4036

Related Least Common Multiples of 4040

Frequently Asked Questions on LCM of 4036 and 4040

1. What is the LCM of 4036 and 4040?

Answer: LCM of 4036 and 4040 is 4076360.

2. What are the Factors of 4036?

Answer: Factors of 4036 are 1, 2, 4, 1009, 2018, 4036. There are 6 integers that are factors of 4036. The greatest factor of 4036 is 4036.

3. What are the Factors of 4040?

Answer: Factors of 4040 are 1, 2, 4, 5, 8, 10, 20, 40, 101, 202, 404, 505, 808, 1010, 2020, 4040. There are 16 integers that are factors of 4040. The greatest factor of 4040 is 4040.

4. How to Find the LCM of 4036 and 4040?

Answer:

Least Common Multiple of 4036 and 4040 = 4076360

Step 1: Find the prime factorization of 4036

4036 = 2 x 2 x 1009

Step 2: Find the prime factorization of 4040

4040 = 2 x 2 x 2 x 5 x 101

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

LCM = 4076360 = 2 x 2 x 2 x 5 x 101 x 1009

Step 4: Therefore, the least common multiple of 4036 and 4040 is 4076360.