Least Common Multiple of 41 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 41 and 44 the smallest integer that is 1804 that is divisible by both numbers.

Least Common Multiple (LCM) of 41 and 44 is 1804.

LCM(41,44) = 1804

LCM of 41 and 44

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

LCM of:
and

Least Common Multiple of 41 and 44

LCM of 41 and 44 is 1804

Least common multiple can be found by multiplying the highest exponent prime factors of 41 and 44. First we will calculate the prime factors of 41 and 44.

Prime Factorization of 41


41 41
1

Prime factors of 41 are 41. Prime factorization of 41 in exponential form is:

41 = 411

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 41 and 44.

LCM(41,44) = 22×111×411
LCM(41,44) = 1804

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1, 41

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 41 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 41 and 44, than apply into the LCM equation.

GCF(41,44) = 1
LCM(41,44) = ( 41 × 44) / 1
LCM(41,44) = 1804 / 1
LCM(41,44) = 1804

Properties of LCM 41 and 44

(i) The LCM of 44 and 41 is associative

LCM of 41 and 44 = LCM of 44 and 41

Related Least Common Multiples of 41

Related Least Common Multiples of 44

Frequently Asked Questions on LCM of 41 and 44

1. What is the LCM of 41 and 44?

Answer: LCM of 41 and 44 is 1804.

2. What are the Factors of 41?

Answer: Factors of 41 are 1, 41. There are 2 integers that are factors of 41. The greatest factor of 41 is 41.

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 41 and 44?

Answer:

Least Common Multiple of 41 and 44 = 1804

Step 1: Find the prime factorization of 41

41 = 41

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 = 1804 = 2 x 2 x 11 x 41

Step 4: Therefore, the least common multiple of 41 and 44 is 1804.