Least Common Multiple of 40000 and 40002

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 40000 and 40002 the smallest integer that is 800040000 that is divisible by both numbers.

Least Common Multiple (LCM) of 40000 and 40002 is 800040000.

LCM(40000,40002) = 800040000

LCM of 40000 and 40002

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

LCM of:
and

Least Common Multiple of 40000 and 40002

LCM of 40000 and 40002 is 800040000

Least common multiple can be found by multiplying the highest exponent prime factors of 40000 and 40002. First we will calculate the prime factors of 40000 and 40002.

Prime Factorization of 40000


2 40000
2 20000
2 10000
2 5000
2 2500
2 1250
5 625
5 125
5 25
5 5
1

Prime factors of 40000 are 2,5. Prime factorization of 40000 in exponential form is:

40000 = 26×54

Prime Factorization of 40002


2 40002
3 20001
59 6667
113 113
1

Prime factors of 40002 are 2, 3, 59,113. Prime factorization of 40002 in exponential form is:

40002 = 21×31×591×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 40000 and 40002.

LCM(40000,40002) = 26×31×54×591×1131
LCM(40000,40002) = 800040000

Factors of 40000

List of positive integer factors of 40000 that divides 40000 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 125, 160, 200, 250, 320, 400, 500, 625, 800, 1000, 1250, 1600, 2000, 2500, 4000, 5000, 8000, 10000, 20000, 40000

Factors of 40002

List of positive integer factors of 40002 that divides 40002 without a remainder.

1, 2, 3, 6, 59, 113, 118, 177, 226, 339, 354, 678, 6667, 13334, 20001, 40002

Least Common Multiple of 40000 and 40002 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40000 and 40002, than apply into the LCM equation.

GCF(40000,40002) = 2
LCM(40000,40002) = ( 40000 × 40002) / 2
LCM(40000,40002) = 1600080000 / 2
LCM(40000,40002) = 800040000

Properties of LCM 40000 and 40002

(i) The LCM of 40002 and 40000 is associative

LCM of 40000 and 40002 = LCM of 40002 and 40000

Related Least Common Multiples of 40000

Related Least Common Multiples of 40002

Frequently Asked Questions on LCM of 40000 and 40002

1. What is the LCM of 40000 and 40002?

Answer: LCM of 40000 and 40002 is 800040000.

2. What are the Factors of 40000?

Answer: Factors of 40000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 125, 160, 200, 250, 320, 400, 500, 625, 800, 1000, 1250, 1600, 2000, 2500, 4000, 5000, 8000, 10000, 20000, 40000. There are 35 integers that are factors of 40000. The greatest factor of 40000 is 40000.

3. What are the Factors of 40002?

Answer: Factors of 40002 are 1, 2, 3, 6, 59, 113, 118, 177, 226, 339, 354, 678, 6667, 13334, 20001, 40002. There are 16 integers that are factors of 40002. The greatest factor of 40002 is 40002.

4. How to Find the LCM of 40000 and 40002?

Answer:

Least Common Multiple of 40000 and 40002 = 800040000

Step 1: Find the prime factorization of 40000

40000 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5 x 5

Step 2: Find the prime factorization of 40002

40002 = 2 x 3 x 59 x 113

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

LCM = 800040000 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 5 x 5 x 59 x 113

Step 4: Therefore, the least common multiple of 40000 and 40002 is 800040000.