Least Common Multiple of 39000 and 39005

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 39000 and 39005 the smallest integer that is 304239000 that is divisible by both numbers.

Least Common Multiple (LCM) of 39000 and 39005 is 304239000.

LCM(39000,39005) = 304239000

LCM of 39000 and 39005

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

LCM of:
and

Least Common Multiple of 39000 and 39005

LCM of 39000 and 39005 is 304239000

Least common multiple can be found by multiplying the highest exponent prime factors of 39000 and 39005. First we will calculate the prime factors of 39000 and 39005.

Prime Factorization of 39000


2 39000
2 19500
2 9750
3 4875
5 1625
5 325
5 65
13 13
1

Prime factors of 39000 are 2, 3, 5,13. Prime factorization of 39000 in exponential form is:

39000 = 23×31×53×131

Prime Factorization of 39005


5 39005
29 7801
269 269
1

Prime factors of 39005 are 5, 29,269. Prime factorization of 39005 in exponential form is:

39005 = 51×291×2691

Now multiplying the highest exponent prime factors to calculate the LCM of 39000 and 39005.

LCM(39000,39005) = 23×31×53×131×291×2691
LCM(39000,39005) = 304239000

Factors of 39000

List of positive integer factors of 39000 that divides 39000 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 25, 26, 30, 39, 40, 50, 52, 60, 65, 75, 78, 100, 104, 120, 125, 130, 150, 156, 195, 200, 250, 260, 300, 312, 325, 375, 390, 500, 520, 600, 650, 750, 780, 975, 1000, 1300, 1500, 1560, 1625, 1950, 2600, 3000, 3250, 3900, 4875, 6500, 7800, 9750, 13000, 19500, 39000

Factors of 39005

List of positive integer factors of 39005 that divides 39005 without a remainder.

1, 5, 29, 145, 269, 1345, 7801, 39005

Least Common Multiple of 39000 and 39005 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39000 and 39005, than apply into the LCM equation.

GCF(39000,39005) = 5
LCM(39000,39005) = ( 39000 × 39005) / 5
LCM(39000,39005) = 1521195000 / 5
LCM(39000,39005) = 304239000

Properties of LCM 39000 and 39005

(i) The LCM of 39005 and 39000 is associative

LCM of 39000 and 39005 = LCM of 39005 and 39000

Related Least Common Multiples of 39000

Related Least Common Multiples of 39005

Frequently Asked Questions on LCM of 39000 and 39005

1. What is the LCM of 39000 and 39005?

Answer: LCM of 39000 and 39005 is 304239000.

2. What are the Factors of 39000?

Answer: Factors of 39000 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 25, 26, 30, 39, 40, 50, 52, 60, 65, 75, 78, 100, 104, 120, 125, 130, 150, 156, 195, 200, 250, 260, 300, 312, 325, 375, 390, 500, 520, 600, 650, 750, 780, 975, 1000, 1300, 1500, 1560, 1625, 1950, 2600, 3000, 3250, 3900, 4875, 6500, 7800, 9750, 13000, 19500, 39000. There are 64 integers that are factors of 39000. The greatest factor of 39000 is 39000.

3. What are the Factors of 39005?

Answer: Factors of 39005 are 1, 5, 29, 145, 269, 1345, 7801, 39005. There are 8 integers that are factors of 39005. The greatest factor of 39005 is 39005.

4. How to Find the LCM of 39000 and 39005?

Answer:

Least Common Multiple of 39000 and 39005 = 304239000

Step 1: Find the prime factorization of 39000

39000 = 2 x 2 x 2 x 3 x 5 x 5 x 5 x 13

Step 2: Find the prime factorization of 39005

39005 = 5 x 29 x 269

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

LCM = 304239000 = 2 x 2 x 2 x 3 x 5 x 5 x 5 x 13 x 29 x 269

Step 4: Therefore, the least common multiple of 39000 and 39005 is 304239000.