Least Common Multiple of 4044 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 4044 and 4050 the smallest integer that is 2729700 that is divisible by both numbers.

Least Common Multiple (LCM) of 4044 and 4050 is 2729700.

LCM(4044,4050) = 2729700

LCM of 4044 and 4050

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

LCM of:
and

Least Common Multiple of 4044 and 4050

LCM of 4044 and 4050 is 2729700

Least common multiple can be found by multiplying the highest exponent prime factors of 4044 and 4050. First we will calculate the prime factors of 4044 and 4050.

Prime Factorization of 4044


2 4044
2 2022
3 1011
337 337
1

Prime factors of 4044 are 2, 3,337. Prime factorization of 4044 in exponential form is:

4044 = 22×31×3371

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 4044 and 4050.

LCM(4044,4050) = 22×34×52×3371
LCM(4044,4050) = 2729700

Factors of 4044

List of positive integer factors of 4044 that divides 4044 without a remainder.

1, 2, 3, 4, 6, 12, 337, 674, 1011, 1348, 2022, 4044

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 4044 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 4044 and 4050, than apply into the LCM equation.

GCF(4044,4050) = 6
LCM(4044,4050) = ( 4044 × 4050) / 6
LCM(4044,4050) = 16378200 / 6
LCM(4044,4050) = 2729700

Properties of LCM 4044 and 4050

(i) The LCM of 4050 and 4044 is associative

LCM of 4044 and 4050 = LCM of 4050 and 4044

Related Least Common Multiples of 4044

Related Least Common Multiples of 4050

Frequently Asked Questions on LCM of 4044 and 4050

1. What is the LCM of 4044 and 4050?

Answer: LCM of 4044 and 4050 is 2729700.

2. What are the Factors of 4044?

Answer: Factors of 4044 are 1, 2, 3, 4, 6, 12, 337, 674, 1011, 1348, 2022, 4044. There are 12 integers that are factors of 4044. The greatest factor of 4044 is 4044.

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 4044 and 4050?

Answer:

Least Common Multiple of 4044 and 4050 = 2729700

Step 1: Find the prime factorization of 4044

4044 = 2 x 2 x 3 x 337

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 = 2729700 = 2 x 2 x 3 x 3 x 3 x 3 x 5 x 5 x 337

Step 4: Therefore, the least common multiple of 4044 and 4050 is 2729700.