Least Common Multiple of 40 and 47

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 47 the smallest integer that is 1880 that is divisible by both numbers.

Least Common Multiple (LCM) of 40 and 47 is 1880.

LCM(40,47) = 1880

LCM of 40 and 47

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

LCM of:
and

Least Common Multiple of 40 and 47

LCM of 40 and 47 is 1880

Least common multiple can be found by multiplying the highest exponent prime factors of 40 and 47. First we will calculate the prime factors of 40 and 47.

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 47


47 47
1

Prime factors of 47 are 47. Prime factorization of 47 in exponential form is:

47 = 471

Now multiplying the highest exponent prime factors to calculate the LCM of 40 and 47.

LCM(40,47) = 23×51×471
LCM(40,47) = 1880

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 47

List of positive integer factors of 47 that divides 47 without a remainder.

1, 47

Least Common Multiple of 40 and 47 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 47, than apply into the LCM equation.

GCF(40,47) = 1
LCM(40,47) = ( 40 × 47) / 1
LCM(40,47) = 1880 / 1
LCM(40,47) = 1880

Properties of LCM 40 and 47

(i) The LCM of 47 and 40 is associative

LCM of 40 and 47 = LCM of 47 and 40

Related Least Common Multiples of 40

Related Least Common Multiples of 47

Frequently Asked Questions on LCM of 40 and 47

1. What is the LCM of 40 and 47?

Answer: LCM of 40 and 47 is 1880.

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 47?

Answer: Factors of 47 are 1, 47. There are 2 integers that are factors of 47. The greatest factor of 47 is 47.

4. How to Find the LCM of 40 and 47?

Answer:

Least Common Multiple of 40 and 47 = 1880

Step 1: Find the prime factorization of 40

40 = 2 x 2 x 2 x 5

Step 2: Find the prime factorization of 47

47 = 47

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

LCM = 1880 = 2 x 2 x 2 x 5 x 47

Step 4: Therefore, the least common multiple of 40 and 47 is 1880.