Least Common Multiple of 4040 and 4045

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4040 and 4045 the smallest integer that is 3268360 that is divisible by both numbers.

Least Common Multiple (LCM) of 4040 and 4045 is 3268360.

LCM(4040,4045) = 3268360

LCM of 4040 and 4045

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

LCM of:
and

Least Common Multiple of 4040 and 4045

LCM of 4040 and 4045 is 3268360

Least common multiple can be found by multiplying the highest exponent prime factors of 4040 and 4045. First we will calculate the prime factors of 4040 and 4045.

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

Prime Factorization of 4045


5 4045
809 809
1

Prime factors of 4045 are 5,809. Prime factorization of 4045 in exponential form is:

4045 = 51×8091

Now multiplying the highest exponent prime factors to calculate the LCM of 4040 and 4045.

LCM(4040,4045) = 23×51×1011×8091
LCM(4040,4045) = 3268360

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

Factors of 4045

List of positive integer factors of 4045 that divides 4045 without a remainder.

1, 5, 809, 4045

Least Common Multiple of 4040 and 4045 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4040 and 4045, than apply into the LCM equation.

GCF(4040,4045) = 5
LCM(4040,4045) = ( 4040 × 4045) / 5
LCM(4040,4045) = 16341800 / 5
LCM(4040,4045) = 3268360

Properties of LCM 4040 and 4045

(i) The LCM of 4045 and 4040 is associative

LCM of 4040 and 4045 = LCM of 4045 and 4040

Related Least Common Multiples of 4040

Related Least Common Multiples of 4045

Frequently Asked Questions on LCM of 4040 and 4045

1. What is the LCM of 4040 and 4045?

Answer: LCM of 4040 and 4045 is 3268360.

2. 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.

3. What are the Factors of 4045?

Answer: Factors of 4045 are 1, 5, 809, 4045. There are 4 integers that are factors of 4045. The greatest factor of 4045 is 4045.

4. How to Find the LCM of 4040 and 4045?

Answer:

Least Common Multiple of 4040 and 4045 = 3268360

Step 1: Find the prime factorization of 4040

4040 = 2 x 2 x 2 x 5 x 101

Step 2: Find the prime factorization of 4045

4045 = 5 x 809

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

LCM = 3268360 = 2 x 2 x 2 x 5 x 101 x 809

Step 4: Therefore, the least common multiple of 4040 and 4045 is 3268360.