Least Common Multiple of 38 and 44

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 38 and 44 the smallest integer that is 836 that is divisible by both numbers.

Least Common Multiple (LCM) of 38 and 44 is 836.

LCM(38,44) = 836

LCM of 38 and 44

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

LCM of:
and

Least Common Multiple of 38 and 44

LCM of 38 and 44 is 836

Least common multiple can be found by multiplying the highest exponent prime factors of 38 and 44. First we will calculate the prime factors of 38 and 44.

Prime Factorization of 38


2 38
19 19
1

Prime factors of 38 are 2,19. Prime factorization of 38 in exponential form is:

38 = 21×191

Prime Factorization of 44


2 44
2 22
11 11
1

Prime factors of 44 are 2,11. Prime factorization of 44 in exponential form is:

44 = 22×111

Now multiplying the highest exponent prime factors to calculate the LCM of 38 and 44.

LCM(38,44) = 22×111×191
LCM(38,44) = 836

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

Least Common Multiple of 38 and 44 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38 and 44, than apply into the LCM equation.

GCF(38,44) = 2
LCM(38,44) = ( 38 × 44) / 2
LCM(38,44) = 1672 / 2
LCM(38,44) = 836

Properties of LCM 38 and 44

(i) The LCM of 44 and 38 is associative

LCM of 38 and 44 = LCM of 44 and 38

Related Least Common Multiples of 38

Related Least Common Multiples of 44

Frequently Asked Questions on LCM of 38 and 44

1. What is the LCM of 38 and 44?

Answer: LCM of 38 and 44 is 836.

2. What are the Factors of 38?

Answer: Factors of 38 are 1, 2, 19, 38. There are 4 integers that are factors of 38. The greatest factor of 38 is 38.

3. What are the Factors of 44?

Answer: Factors of 44 are 1, 2, 4, 11, 22, 44. There are 6 integers that are factors of 44. The greatest factor of 44 is 44.

4. How to Find the LCM of 38 and 44?

Answer:

Least Common Multiple of 38 and 44 = 836

Step 1: Find the prime factorization of 38

38 = 2 x 19

Step 2: Find the prime factorization of 44

44 = 2 x 2 x 11

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

LCM = 836 = 2 x 2 x 11 x 19

Step 4: Therefore, the least common multiple of 38 and 44 is 836.