Least Common Multiple of 4044 and 4052

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 4052 the smallest integer that is 4096572 that is divisible by both numbers.

Least Common Multiple (LCM) of 4044 and 4052 is 4096572.

LCM(4044,4052) = 4096572

LCM of 4044 and 4052

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

LCM of:
and

Least Common Multiple of 4044 and 4052

LCM of 4044 and 4052 is 4096572

Least common multiple can be found by multiplying the highest exponent prime factors of 4044 and 4052. First we will calculate the prime factors of 4044 and 4052.

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 4052


2 4052
2 2026
1013 1013
1

Prime factors of 4052 are 2,1013. Prime factorization of 4052 in exponential form is:

4052 = 22×10131

Now multiplying the highest exponent prime factors to calculate the LCM of 4044 and 4052.

LCM(4044,4052) = 22×31×3371×10131
LCM(4044,4052) = 4096572

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 4052

List of positive integer factors of 4052 that divides 4052 without a remainder.

1, 2, 4, 1013, 2026, 4052

Least Common Multiple of 4044 and 4052 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 4052, than apply into the LCM equation.

GCF(4044,4052) = 4
LCM(4044,4052) = ( 4044 × 4052) / 4
LCM(4044,4052) = 16386288 / 4
LCM(4044,4052) = 4096572

Properties of LCM 4044 and 4052

(i) The LCM of 4052 and 4044 is associative

LCM of 4044 and 4052 = LCM of 4052 and 4044

Related Least Common Multiples of 4044

Related Least Common Multiples of 4052

Frequently Asked Questions on LCM of 4044 and 4052

1. What is the LCM of 4044 and 4052?

Answer: LCM of 4044 and 4052 is 4096572.

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 4052?

Answer: Factors of 4052 are 1, 2, 4, 1013, 2026, 4052. There are 6 integers that are factors of 4052. The greatest factor of 4052 is 4052.

4. How to Find the LCM of 4044 and 4052?

Answer:

Least Common Multiple of 4044 and 4052 = 4096572

Step 1: Find the prime factorization of 4044

4044 = 2 x 2 x 3 x 337

Step 2: Find the prime factorization of 4052

4052 = 2 x 2 x 1013

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

LCM = 4096572 = 2 x 2 x 3 x 337 x 1013

Step 4: Therefore, the least common multiple of 4044 and 4052 is 4096572.