Least Common Multiple of 39 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 39 and 44 the smallest integer that is 1716 that is divisible by both numbers.

Least Common Multiple (LCM) of 39 and 44 is 1716.

LCM(39,44) = 1716

LCM of 39 and 44

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

LCM of:
and

Least Common Multiple of 39 and 44

LCM of 39 and 44 is 1716

Least common multiple can be found by multiplying the highest exponent prime factors of 39 and 44. First we will calculate the prime factors of 39 and 44.

Prime Factorization of 39


3 39
13 13
1

Prime factors of 39 are 3,13. Prime factorization of 39 in exponential form is:

39 = 31×131

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 39 and 44.

LCM(39,44) = 22×31×111×131
LCM(39,44) = 1716

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1, 3, 13, 39

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 39 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 39 and 44, than apply into the LCM equation.

GCF(39,44) = 1
LCM(39,44) = ( 39 × 44) / 1
LCM(39,44) = 1716 / 1
LCM(39,44) = 1716

Properties of LCM 39 and 44

(i) The LCM of 44 and 39 is associative

LCM of 39 and 44 = LCM of 44 and 39

Related Least Common Multiples of 39

Related Least Common Multiples of 44

Frequently Asked Questions on LCM of 39 and 44

1. What is the LCM of 39 and 44?

Answer: LCM of 39 and 44 is 1716.

2. What are the Factors of 39?

Answer: Factors of 39 are 1, 3, 13, 39. There are 4 integers that are factors of 39. The greatest factor of 39 is 39.

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 39 and 44?

Answer:

Least Common Multiple of 39 and 44 = 1716

Step 1: Find the prime factorization of 39

39 = 3 x 13

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 = 1716 = 2 x 2 x 3 x 11 x 13

Step 4: Therefore, the least common multiple of 39 and 44 is 1716.