Least Common Multiple of 4043 and 4050

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4043 and 4050 the smallest integer that is 16374150 that is divisible by both numbers.

Least Common Multiple (LCM) of 4043 and 4050 is 16374150.

LCM(4043,4050) = 16374150

LCM of 4043 and 4050

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

LCM of:
and

Least Common Multiple of 4043 and 4050

LCM of 4043 and 4050 is 16374150

Least common multiple can be found by multiplying the highest exponent prime factors of 4043 and 4050. First we will calculate the prime factors of 4043 and 4050.

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

Prime Factorization of 4050


2 4050
3 2025
3 675
3 225
3 75
5 25
5 5
1

Prime factors of 4050 are 2, 3,5. Prime factorization of 4050 in exponential form is:

4050 = 21×34×52

Now multiplying the highest exponent prime factors to calculate the LCM of 4043 and 4050.

LCM(4043,4050) = 21×34×52×131×3111
LCM(4043,4050) = 16374150

Factors of 4043

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

1, 13, 311, 4043

Factors of 4050

List of positive integer factors of 4050 that divides 4050 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 81, 90, 135, 150, 162, 225, 270, 405, 450, 675, 810, 1350, 2025, 4050

Least Common Multiple of 4043 and 4050 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4043 and 4050, than apply into the LCM equation.

GCF(4043,4050) = 1
LCM(4043,4050) = ( 4043 × 4050) / 1
LCM(4043,4050) = 16374150 / 1
LCM(4043,4050) = 16374150

Properties of LCM 4043 and 4050

(i) The LCM of 4050 and 4043 is associative

LCM of 4043 and 4050 = LCM of 4050 and 4043

Related Least Common Multiples of 4043

Related Least Common Multiples of 4050

Frequently Asked Questions on LCM of 4043 and 4050

1. What is the LCM of 4043 and 4050?

Answer: LCM of 4043 and 4050 is 16374150.

2. 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.

3. What are the Factors of 4050?

Answer: Factors of 4050 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 81, 90, 135, 150, 162, 225, 270, 405, 450, 675, 810, 1350, 2025, 4050. There are 30 integers that are factors of 4050. The greatest factor of 4050 is 4050.

4. How to Find the LCM of 4043 and 4050?

Answer:

Least Common Multiple of 4043 and 4050 = 16374150

Step 1: Find the prime factorization of 4043

4043 = 13 x 311

Step 2: Find the prime factorization of 4050

4050 = 2 x 3 x 3 x 3 x 3 x 5 x 5

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

LCM = 16374150 = 2 x 3 x 3 x 3 x 3 x 5 x 5 x 13 x 311

Step 4: Therefore, the least common multiple of 4043 and 4050 is 16374150.