Least Common Multiple of 41 and 45

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 45 the smallest integer that is 1845 that is divisible by both numbers.

Least Common Multiple (LCM) of 41 and 45 is 1845.

LCM(41,45) = 1845

LCM of 41 and 45

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

LCM of:
and

Least Common Multiple of 41 and 45

LCM of 41 and 45 is 1845

Least common multiple can be found by multiplying the highest exponent prime factors of 41 and 45. First we will calculate the prime factors of 41 and 45.

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 45


3 45
3 15
5 5
1

Prime factors of 45 are 3,5. Prime factorization of 45 in exponential form is:

45 = 32×51

Now multiplying the highest exponent prime factors to calculate the LCM of 41 and 45.

LCM(41,45) = 32×51×411
LCM(41,45) = 1845

Factors of 41

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

1, 41

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Least Common Multiple of 41 and 45 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 45, than apply into the LCM equation.

GCF(41,45) = 1
LCM(41,45) = ( 41 × 45) / 1
LCM(41,45) = 1845 / 1
LCM(41,45) = 1845

Properties of LCM 41 and 45

(i) The LCM of 45 and 41 is associative

LCM of 41 and 45 = LCM of 45 and 41

Related Least Common Multiples of 41

Related Least Common Multiples of 45

Frequently Asked Questions on LCM of 41 and 45

1. What is the LCM of 41 and 45?

Answer: LCM of 41 and 45 is 1845.

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 45?

Answer: Factors of 45 are 1, 3, 5, 9, 15, 45. There are 6 integers that are factors of 45. The greatest factor of 45 is 45.

4. How to Find the LCM of 41 and 45?

Answer:

Least Common Multiple of 41 and 45 = 1845

Step 1: Find the prime factorization of 41

41 = 41

Step 2: Find the prime factorization of 45

45 = 3 x 3 x 5

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

LCM = 1845 = 3 x 3 x 5 x 41

Step 4: Therefore, the least common multiple of 41 and 45 is 1845.