Least Common Multiple of 40 and 59

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 59 the smallest integer that is 2360 that is divisible by both numbers.

Least Common Multiple (LCM) of 40 and 59 is 2360.

LCM(40,59) = 2360

LCM of 40 and 59

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

LCM of:
and

Least Common Multiple of 40 and 59

LCM of 40 and 59 is 2360

Least common multiple can be found by multiplying the highest exponent prime factors of 40 and 59. First we will calculate the prime factors of 40 and 59.

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 59


59 59
1

Prime factors of 59 are 59. Prime factorization of 59 in exponential form is:

59 = 591

Now multiplying the highest exponent prime factors to calculate the LCM of 40 and 59.

LCM(40,59) = 23×51×591
LCM(40,59) = 2360

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 59

List of positive integer factors of 59 that divides 59 without a remainder.

1, 59

Least Common Multiple of 40 and 59 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 59, than apply into the LCM equation.

GCF(40,59) = 1
LCM(40,59) = ( 40 × 59) / 1
LCM(40,59) = 2360 / 1
LCM(40,59) = 2360

Properties of LCM 40 and 59

(i) The LCM of 59 and 40 is associative

LCM of 40 and 59 = LCM of 59 and 40

Related Least Common Multiples of 40

Related Least Common Multiples of 59

Frequently Asked Questions on LCM of 40 and 59

1. What is the LCM of 40 and 59?

Answer: LCM of 40 and 59 is 2360.

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 59?

Answer: Factors of 59 are 1, 59. There are 2 integers that are factors of 59. The greatest factor of 59 is 59.

4. How to Find the LCM of 40 and 59?

Answer:

Least Common Multiple of 40 and 59 = 2360

Step 1: Find the prime factorization of 40

40 = 2 x 2 x 2 x 5

Step 2: Find the prime factorization of 59

59 = 59

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

LCM = 2360 = 2 x 2 x 2 x 5 x 59

Step 4: Therefore, the least common multiple of 40 and 59 is 2360.