Least Common Multiple of 40 and 41

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 40 and 41 the smallest integer that is 1640 that is divisible by both numbers.

Least Common Multiple (LCM) of 40 and 41 is 1640.

LCM(40,41) = 1640

LCM of 40 and 41

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

LCM of:
and

Least Common Multiple of 40 and 41

LCM of 40 and 41 is 1640

Least common multiple can be found by multiplying the highest exponent prime factors of 40 and 41. First we will calculate the prime factors of 40 and 41.

Prime Factorization of 40


2 40
2 20
2 10
5 5
1

Prime factors of 40 are 2,5. Prime factorization of 40 in exponential form is:

40 = 23×51

Prime Factorization of 41


41 41
1

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

41 = 411

Now multiplying the highest exponent prime factors to calculate the LCM of 40 and 41.

LCM(40,41) = 23×51×411
LCM(40,41) = 1640

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Factors of 41

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

1, 41

Least Common Multiple of 40 and 41 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40 and 41, than apply into the LCM equation.

GCF(40,41) = 1
LCM(40,41) = ( 40 × 41) / 1
LCM(40,41) = 1640 / 1
LCM(40,41) = 1640

Properties of LCM 40 and 41

(i) The LCM of 41 and 40 is associative

LCM of 40 and 41 = LCM of 41 and 40

Related Least Common Multiples of 40

Related Least Common Multiples of 41

Frequently Asked Questions on LCM of 40 and 41

1. What is the LCM of 40 and 41?

Answer: LCM of 40 and 41 is 1640.

2. What are the Factors of 40?

Answer: Factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40. There are 8 integers that are factors of 40. The greatest factor of 40 is 40.

3. 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.

4. How to Find the LCM of 40 and 41?

Answer:

Least Common Multiple of 40 and 41 = 1640

Step 1: Find the prime factorization of 40

40 = 2 x 2 x 2 x 5

Step 2: Find the prime factorization of 41

41 = 41

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

LCM = 1640 = 2 x 2 x 2 x 5 x 41

Step 4: Therefore, the least common multiple of 40 and 41 is 1640.