Least Common Multiple of 4040 and 4043

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 4043 the smallest integer that is 16333720 that is divisible by both numbers.

Least Common Multiple (LCM) of 4040 and 4043 is 16333720.

LCM(4040,4043) = 16333720

LCM of 4040 and 4043

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

LCM of:
and

Least Common Multiple of 4040 and 4043

LCM of 4040 and 4043 is 16333720

Least common multiple can be found by multiplying the highest exponent prime factors of 4040 and 4043. First we will calculate the prime factors of 4040 and 4043.

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 4043


13 4043
311 311
1

Prime factors of 4043 are 13,311. Prime factorization of 4043 in exponential form is:

4043 = 131×3111

Now multiplying the highest exponent prime factors to calculate the LCM of 4040 and 4043.

LCM(4040,4043) = 23×51×131×1011×3111
LCM(4040,4043) = 16333720

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 4043

List of positive integer factors of 4043 that divides 4043 without a remainder.

1, 13, 311, 4043

Least Common Multiple of 4040 and 4043 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 4043, than apply into the LCM equation.

GCF(4040,4043) = 1
LCM(4040,4043) = ( 4040 × 4043) / 1
LCM(4040,4043) = 16333720 / 1
LCM(4040,4043) = 16333720

Properties of LCM 4040 and 4043

(i) The LCM of 4043 and 4040 is associative

LCM of 4040 and 4043 = LCM of 4043 and 4040

Related Least Common Multiples of 4040

Related Least Common Multiples of 4043

Frequently Asked Questions on LCM of 4040 and 4043

1. What is the LCM of 4040 and 4043?

Answer: LCM of 4040 and 4043 is 16333720.

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 4043?

Answer: Factors of 4043 are 1, 13, 311, 4043. There are 4 integers that are factors of 4043. The greatest factor of 4043 is 4043.

4. How to Find the LCM of 4040 and 4043?

Answer:

Least Common Multiple of 4040 and 4043 = 16333720

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 4043

4043 = 13 x 311

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

LCM = 16333720 = 2 x 2 x 2 x 5 x 13 x 101 x 311

Step 4: Therefore, the least common multiple of 4040 and 4043 is 16333720.