Least Common Multiple of 4045 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 4045 and 4050 the smallest integer that is 3276450 that is divisible by both numbers.

Least Common Multiple (LCM) of 4045 and 4050 is 3276450.

LCM(4045,4050) = 3276450

LCM of 4045 and 4050

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

LCM of:
and

Least Common Multiple of 4045 and 4050

LCM of 4045 and 4050 is 3276450

Least common multiple can be found by multiplying the highest exponent prime factors of 4045 and 4050. First we will calculate the prime factors of 4045 and 4050.

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

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 4045 and 4050.

LCM(4045,4050) = 21×34×52×8091
LCM(4045,4050) = 3276450

Factors of 4045

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

1, 5, 809, 4045

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 4045 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 4045 and 4050, than apply into the LCM equation.

GCF(4045,4050) = 5
LCM(4045,4050) = ( 4045 × 4050) / 5
LCM(4045,4050) = 16382250 / 5
LCM(4045,4050) = 3276450

Properties of LCM 4045 and 4050

(i) The LCM of 4050 and 4045 is associative

LCM of 4045 and 4050 = LCM of 4050 and 4045

Related Least Common Multiples of 4045

Related Least Common Multiples of 4050

Frequently Asked Questions on LCM of 4045 and 4050

1. What is the LCM of 4045 and 4050?

Answer: LCM of 4045 and 4050 is 3276450.

2. 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.

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 4045 and 4050?

Answer:

Least Common Multiple of 4045 and 4050 = 3276450

Step 1: Find the prime factorization of 4045

4045 = 5 x 809

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 = 3276450 = 2 x 3 x 3 x 3 x 3 x 5 x 5 x 809

Step 4: Therefore, the least common multiple of 4045 and 4050 is 3276450.