Least Common Multiple of 4044 and 4048

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 4048 the smallest integer that is 4092528 that is divisible by both numbers.

Least Common Multiple (LCM) of 4044 and 4048 is 4092528.

LCM(4044,4048) = 4092528

LCM of 4044 and 4048

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

LCM of:
and

Least Common Multiple of 4044 and 4048

LCM of 4044 and 4048 is 4092528

Least common multiple can be found by multiplying the highest exponent prime factors of 4044 and 4048. First we will calculate the prime factors of 4044 and 4048.

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 4048


2 4048
2 2024
2 1012
2 506
11 253
23 23
1

Prime factors of 4048 are 2, 11,23. Prime factorization of 4048 in exponential form is:

4048 = 24×111×231

Now multiplying the highest exponent prime factors to calculate the LCM of 4044 and 4048.

LCM(4044,4048) = 24×31×111×231×3371
LCM(4044,4048) = 4092528

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 4048

List of positive integer factors of 4048 that divides 4048 without a remainder.

1, 2, 4, 8, 11, 16, 22, 23, 44, 46, 88, 92, 176, 184, 253, 368, 506, 1012, 2024, 4048

Least Common Multiple of 4044 and 4048 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 4048, than apply into the LCM equation.

GCF(4044,4048) = 4
LCM(4044,4048) = ( 4044 × 4048) / 4
LCM(4044,4048) = 16370112 / 4
LCM(4044,4048) = 4092528

Properties of LCM 4044 and 4048

(i) The LCM of 4048 and 4044 is associative

LCM of 4044 and 4048 = LCM of 4048 and 4044

Related Least Common Multiples of 4044

Related Least Common Multiples of 4048

Frequently Asked Questions on LCM of 4044 and 4048

1. What is the LCM of 4044 and 4048?

Answer: LCM of 4044 and 4048 is 4092528.

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 4048?

Answer: Factors of 4048 are 1, 2, 4, 8, 11, 16, 22, 23, 44, 46, 88, 92, 176, 184, 253, 368, 506, 1012, 2024, 4048. There are 20 integers that are factors of 4048. The greatest factor of 4048 is 4048.

4. How to Find the LCM of 4044 and 4048?

Answer:

Least Common Multiple of 4044 and 4048 = 4092528

Step 1: Find the prime factorization of 4044

4044 = 2 x 2 x 3 x 337

Step 2: Find the prime factorization of 4048

4048 = 2 x 2 x 2 x 2 x 11 x 23

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

LCM = 4092528 = 2 x 2 x 2 x 2 x 3 x 11 x 23 x 337

Step 4: Therefore, the least common multiple of 4044 and 4048 is 4092528.