Least Common Multiple of 40030 and 40036

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 40030 and 40036 the smallest integer that is 801320540 that is divisible by both numbers.

Least Common Multiple (LCM) of 40030 and 40036 is 801320540.

LCM(40030,40036) = 801320540

LCM of 40030 and 40036

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

LCM of:
and

Least Common Multiple of 40030 and 40036

LCM of 40030 and 40036 is 801320540

Least common multiple can be found by multiplying the highest exponent prime factors of 40030 and 40036. First we will calculate the prime factors of 40030 and 40036.

Prime Factorization of 40030


2 40030
5 20015
4003 4003
1

Prime factors of 40030 are 2, 5,4003. Prime factorization of 40030 in exponential form is:

40030 = 21×51×40031

Prime Factorization of 40036


2 40036
2 20018
10009 10009
1

Prime factors of 40036 are 2,10009. Prime factorization of 40036 in exponential form is:

40036 = 22×100091

Now multiplying the highest exponent prime factors to calculate the LCM of 40030 and 40036.

LCM(40030,40036) = 22×51×40031×100091
LCM(40030,40036) = 801320540

Factors of 40030

List of positive integer factors of 40030 that divides 40030 without a remainder.

1, 2, 5, 10, 4003, 8006, 20015, 40030

Factors of 40036

List of positive integer factors of 40036 that divides 40036 without a remainder.

1, 2, 4, 10009, 20018, 40036

Least Common Multiple of 40030 and 40036 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40030 and 40036, than apply into the LCM equation.

GCF(40030,40036) = 2
LCM(40030,40036) = ( 40030 × 40036) / 2
LCM(40030,40036) = 1602641080 / 2
LCM(40030,40036) = 801320540

Properties of LCM 40030 and 40036

(i) The LCM of 40036 and 40030 is associative

LCM of 40030 and 40036 = LCM of 40036 and 40030

Related Least Common Multiples of 40030

Related Least Common Multiples of 40036

Frequently Asked Questions on LCM of 40030 and 40036

1. What is the LCM of 40030 and 40036?

Answer: LCM of 40030 and 40036 is 801320540.

2. What are the Factors of 40030?

Answer: Factors of 40030 are 1, 2, 5, 10, 4003, 8006, 20015, 40030. There are 8 integers that are factors of 40030. The greatest factor of 40030 is 40030.

3. What are the Factors of 40036?

Answer: Factors of 40036 are 1, 2, 4, 10009, 20018, 40036. There are 6 integers that are factors of 40036. The greatest factor of 40036 is 40036.

4. How to Find the LCM of 40030 and 40036?

Answer:

Least Common Multiple of 40030 and 40036 = 801320540

Step 1: Find the prime factorization of 40030

40030 = 2 x 5 x 4003

Step 2: Find the prime factorization of 40036

40036 = 2 x 2 x 10009

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

LCM = 801320540 = 2 x 2 x 5 x 4003 x 10009

Step 4: Therefore, the least common multiple of 40030 and 40036 is 801320540.