Least Common Multiple of 4035 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 4035 and 4040 the smallest integer that is 3260280 that is divisible by both numbers.

Least Common Multiple (LCM) of 4035 and 4040 is 3260280.

LCM(4035,4040) = 3260280

LCM of 4035 and 4040

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

LCM of:
and

Least Common Multiple of 4035 and 4040

LCM of 4035 and 4040 is 3260280

Least common multiple can be found by multiplying the highest exponent prime factors of 4035 and 4040. First we will calculate the prime factors of 4035 and 4040.

Prime Factorization of 4035


3 4035
5 1345
269 269
1

Prime factors of 4035 are 3, 5,269. Prime factorization of 4035 in exponential form is:

4035 = 31×51×2691

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 4035 and 4040.

LCM(4035,4040) = 23×31×51×1011×2691
LCM(4035,4040) = 3260280

Factors of 4035

List of positive integer factors of 4035 that divides 4035 without a remainder.

1, 3, 5, 15, 269, 807, 1345, 4035

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 4035 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 4035 and 4040, than apply into the LCM equation.

GCF(4035,4040) = 5
LCM(4035,4040) = ( 4035 × 4040) / 5
LCM(4035,4040) = 16301400 / 5
LCM(4035,4040) = 3260280

Properties of LCM 4035 and 4040

(i) The LCM of 4040 and 4035 is associative

LCM of 4035 and 4040 = LCM of 4040 and 4035

Related Least Common Multiples of 4035

Related Least Common Multiples of 4040

Frequently Asked Questions on LCM of 4035 and 4040

1. What is the LCM of 4035 and 4040?

Answer: LCM of 4035 and 4040 is 3260280.

2. What are the Factors of 4035?

Answer: Factors of 4035 are 1, 3, 5, 15, 269, 807, 1345, 4035. There are 8 integers that are factors of 4035. The greatest factor of 4035 is 4035.

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 4035 and 4040?

Answer:

Least Common Multiple of 4035 and 4040 = 3260280

Step 1: Find the prime factorization of 4035

4035 = 3 x 5 x 269

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 = 3260280 = 2 x 2 x 2 x 3 x 5 x 101 x 269

Step 4: Therefore, the least common multiple of 4035 and 4040 is 3260280.