Least Common Multiple of 4044 and 4049

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 4049 the smallest integer that is 16374156 that is divisible by both numbers.

Least Common Multiple (LCM) of 4044 and 4049 is 16374156.

LCM(4044,4049) = 16374156

LCM of 4044 and 4049

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

LCM of:
and

Least Common Multiple of 4044 and 4049

LCM of 4044 and 4049 is 16374156

Least common multiple can be found by multiplying the highest exponent prime factors of 4044 and 4049. First we will calculate the prime factors of 4044 and 4049.

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 4049


4049 4049
1

Prime factors of 4049 are 4049. Prime factorization of 4049 in exponential form is:

4049 = 40491

Now multiplying the highest exponent prime factors to calculate the LCM of 4044 and 4049.

LCM(4044,4049) = 22×31×3371×40491
LCM(4044,4049) = 16374156

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 4049

List of positive integer factors of 4049 that divides 4049 without a remainder.

1, 4049

Least Common Multiple of 4044 and 4049 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 4049, than apply into the LCM equation.

GCF(4044,4049) = 1
LCM(4044,4049) = ( 4044 × 4049) / 1
LCM(4044,4049) = 16374156 / 1
LCM(4044,4049) = 16374156

Properties of LCM 4044 and 4049

(i) The LCM of 4049 and 4044 is associative

LCM of 4044 and 4049 = LCM of 4049 and 4044

Related Least Common Multiples of 4044

Related Least Common Multiples of 4049

Frequently Asked Questions on LCM of 4044 and 4049

1. What is the LCM of 4044 and 4049?

Answer: LCM of 4044 and 4049 is 16374156.

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 4049?

Answer: Factors of 4049 are 1, 4049. There are 2 integers that are factors of 4049. The greatest factor of 4049 is 4049.

4. How to Find the LCM of 4044 and 4049?

Answer:

Least Common Multiple of 4044 and 4049 = 16374156

Step 1: Find the prime factorization of 4044

4044 = 2 x 2 x 3 x 337

Step 2: Find the prime factorization of 4049

4049 = 4049

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

LCM = 16374156 = 2 x 2 x 3 x 337 x 4049

Step 4: Therefore, the least common multiple of 4044 and 4049 is 16374156.