Least Common Multiple of 39044 and 39052

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 39044 and 39052 the smallest integer that is 381186572 that is divisible by both numbers.

Least Common Multiple (LCM) of 39044 and 39052 is 381186572.

LCM(39044,39052) = 381186572

LCM of 39044 and 39052

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

LCM of:
and

Least Common Multiple of 39044 and 39052

LCM of 39044 and 39052 is 381186572

Least common multiple can be found by multiplying the highest exponent prime factors of 39044 and 39052. First we will calculate the prime factors of 39044 and 39052.

Prime Factorization of 39044


2 39044
2 19522
43 9761
227 227
1

Prime factors of 39044 are 2, 43,227. Prime factorization of 39044 in exponential form is:

39044 = 22×431×2271

Prime Factorization of 39052


2 39052
2 19526
13 9763
751 751
1

Prime factors of 39052 are 2, 13,751. Prime factorization of 39052 in exponential form is:

39052 = 22×131×7511

Now multiplying the highest exponent prime factors to calculate the LCM of 39044 and 39052.

LCM(39044,39052) = 22×131×431×2271×7511
LCM(39044,39052) = 381186572

Factors of 39044

List of positive integer factors of 39044 that divides 39044 without a remainder.

1, 2, 4, 43, 86, 172, 227, 454, 908, 9761, 19522, 39044

Factors of 39052

List of positive integer factors of 39052 that divides 39052 without a remainder.

1, 2, 4, 13, 26, 52, 751, 1502, 3004, 9763, 19526, 39052

Least Common Multiple of 39044 and 39052 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39044 and 39052, than apply into the LCM equation.

GCF(39044,39052) = 4
LCM(39044,39052) = ( 39044 × 39052) / 4
LCM(39044,39052) = 1524746288 / 4
LCM(39044,39052) = 381186572

Properties of LCM 39044 and 39052

(i) The LCM of 39052 and 39044 is associative

LCM of 39044 and 39052 = LCM of 39052 and 39044

Related Least Common Multiples of 39044

Related Least Common Multiples of 39052

Frequently Asked Questions on LCM of 39044 and 39052

1. What is the LCM of 39044 and 39052?

Answer: LCM of 39044 and 39052 is 381186572.

2. What are the Factors of 39044?

Answer: Factors of 39044 are 1, 2, 4, 43, 86, 172, 227, 454, 908, 9761, 19522, 39044. There are 12 integers that are factors of 39044. The greatest factor of 39044 is 39044.

3. What are the Factors of 39052?

Answer: Factors of 39052 are 1, 2, 4, 13, 26, 52, 751, 1502, 3004, 9763, 19526, 39052. There are 12 integers that are factors of 39052. The greatest factor of 39052 is 39052.

4. How to Find the LCM of 39044 and 39052?

Answer:

Least Common Multiple of 39044 and 39052 = 381186572

Step 1: Find the prime factorization of 39044

39044 = 2 x 2 x 43 x 227

Step 2: Find the prime factorization of 39052

39052 = 2 x 2 x 13 x 751

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

LCM = 381186572 = 2 x 2 x 13 x 43 x 227 x 751

Step 4: Therefore, the least common multiple of 39044 and 39052 is 381186572.