Least Common Multiple of 40055 and 40059

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 40055 and 40059 the smallest integer that is 1604563245 that is divisible by both numbers.

Least Common Multiple (LCM) of 40055 and 40059 is 1604563245.

LCM(40055,40059) = 1604563245

LCM of 40055 and 40059

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

LCM of:
and

Least Common Multiple of 40055 and 40059

LCM of 40055 and 40059 is 1604563245

Least common multiple can be found by multiplying the highest exponent prime factors of 40055 and 40059. First we will calculate the prime factors of 40055 and 40059.

Prime Factorization of 40055


5 40055
8011 8011
1

Prime factors of 40055 are 5,8011. Prime factorization of 40055 in exponential form is:

40055 = 51×80111

Prime Factorization of 40059


3 40059
3 13353
4451 4451
1

Prime factors of 40059 are 3,4451. Prime factorization of 40059 in exponential form is:

40059 = 32×44511

Now multiplying the highest exponent prime factors to calculate the LCM of 40055 and 40059.

LCM(40055,40059) = 32×51×44511×80111
LCM(40055,40059) = 1604563245

Factors of 40055

List of positive integer factors of 40055 that divides 40055 without a remainder.

1, 5, 8011, 40055

Factors of 40059

List of positive integer factors of 40059 that divides 40059 without a remainder.

1, 3, 9, 4451, 13353, 40059

Least Common Multiple of 40055 and 40059 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40055 and 40059, than apply into the LCM equation.

GCF(40055,40059) = 1
LCM(40055,40059) = ( 40055 × 40059) / 1
LCM(40055,40059) = 1604563245 / 1
LCM(40055,40059) = 1604563245

Properties of LCM 40055 and 40059

(i) The LCM of 40059 and 40055 is associative

LCM of 40055 and 40059 = LCM of 40059 and 40055

Related Least Common Multiples of 40055

Related Least Common Multiples of 40059

Frequently Asked Questions on LCM of 40055 and 40059

1. What is the LCM of 40055 and 40059?

Answer: LCM of 40055 and 40059 is 1604563245.

2. What are the Factors of 40055?

Answer: Factors of 40055 are 1, 5, 8011, 40055. There are 4 integers that are factors of 40055. The greatest factor of 40055 is 40055.

3. What are the Factors of 40059?

Answer: Factors of 40059 are 1, 3, 9, 4451, 13353, 40059. There are 6 integers that are factors of 40059. The greatest factor of 40059 is 40059.

4. How to Find the LCM of 40055 and 40059?

Answer:

Least Common Multiple of 40055 and 40059 = 1604563245

Step 1: Find the prime factorization of 40055

40055 = 5 x 8011

Step 2: Find the prime factorization of 40059

40059 = 3 x 3 x 4451

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

LCM = 1604563245 = 3 x 3 x 5 x 4451 x 8011

Step 4: Therefore, the least common multiple of 40055 and 40059 is 1604563245.