Least Common Multiple of 4050 and 4055

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4050 and 4055 the smallest integer that is 3284550 that is divisible by both numbers.

Least Common Multiple (LCM) of 4050 and 4055 is 3284550.

LCM(4050,4055) = 3284550

LCM of 4050 and 4055

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

LCM of:
and

Least Common Multiple of 4050 and 4055

LCM of 4050 and 4055 is 3284550

Least common multiple can be found by multiplying the highest exponent prime factors of 4050 and 4055. First we will calculate the prime factors of 4050 and 4055.

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

Prime Factorization of 4055


5 4055
811 811
1

Prime factors of 4055 are 5,811. Prime factorization of 4055 in exponential form is:

4055 = 51×8111

Now multiplying the highest exponent prime factors to calculate the LCM of 4050 and 4055.

LCM(4050,4055) = 21×34×52×8111
LCM(4050,4055) = 3284550

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

Factors of 4055

List of positive integer factors of 4055 that divides 4055 without a remainder.

1, 5, 811, 4055

Least Common Multiple of 4050 and 4055 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4050 and 4055, than apply into the LCM equation.

GCF(4050,4055) = 5
LCM(4050,4055) = ( 4050 × 4055) / 5
LCM(4050,4055) = 16422750 / 5
LCM(4050,4055) = 3284550

Properties of LCM 4050 and 4055

(i) The LCM of 4055 and 4050 is associative

LCM of 4050 and 4055 = LCM of 4055 and 4050

Related Least Common Multiples of 4050

Related Least Common Multiples of 4055

Frequently Asked Questions on LCM of 4050 and 4055

1. What is the LCM of 4050 and 4055?

Answer: LCM of 4050 and 4055 is 3284550.

2. 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.

3. What are the Factors of 4055?

Answer: Factors of 4055 are 1, 5, 811, 4055. There are 4 integers that are factors of 4055. The greatest factor of 4055 is 4055.

4. How to Find the LCM of 4050 and 4055?

Answer:

Least Common Multiple of 4050 and 4055 = 3284550

Step 1: Find the prime factorization of 4050

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

Step 2: Find the prime factorization of 4055

4055 = 5 x 811

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

LCM = 3284550 = 2 x 3 x 3 x 3 x 3 x 5 x 5 x 811

Step 4: Therefore, the least common multiple of 4050 and 4055 is 3284550.