Least Common Multiple of 39000 and 39004

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 39004 the smallest integer that is 380289000 that is divisible by both numbers.

Least Common Multiple (LCM) of 39000 and 39004 is 380289000.

LCM(39000,39004) = 380289000

LCM of 39000 and 39004

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

LCM of:
and

Least Common Multiple of 39000 and 39004

LCM of 39000 and 39004 is 380289000

Least common multiple can be found by multiplying the highest exponent prime factors of 39000 and 39004. First we will calculate the prime factors of 39000 and 39004.

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 39004


2 39004
2 19502
7 9751
7 1393
199 199
1

Prime factors of 39004 are 2, 7,199. Prime factorization of 39004 in exponential form is:

39004 = 22×72×1991

Now multiplying the highest exponent prime factors to calculate the LCM of 39000 and 39004.

LCM(39000,39004) = 23×31×53×72×131×1991
LCM(39000,39004) = 380289000

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 39004

List of positive integer factors of 39004 that divides 39004 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196, 199, 398, 796, 1393, 2786, 5572, 9751, 19502, 39004

Least Common Multiple of 39000 and 39004 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 39004, than apply into the LCM equation.

GCF(39000,39004) = 4
LCM(39000,39004) = ( 39000 × 39004) / 4
LCM(39000,39004) = 1521156000 / 4
LCM(39000,39004) = 380289000

Properties of LCM 39000 and 39004

(i) The LCM of 39004 and 39000 is associative

LCM of 39000 and 39004 = LCM of 39004 and 39000

Related Least Common Multiples of 39000

Related Least Common Multiples of 39004

Frequently Asked Questions on LCM of 39000 and 39004

1. What is the LCM of 39000 and 39004?

Answer: LCM of 39000 and 39004 is 380289000.

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 39004?

Answer: Factors of 39004 are 1, 2, 4, 7, 14, 28, 49, 98, 196, 199, 398, 796, 1393, 2786, 5572, 9751, 19502, 39004. There are 18 integers that are factors of 39004. The greatest factor of 39004 is 39004.

4. How to Find the LCM of 39000 and 39004?

Answer:

Least Common Multiple of 39000 and 39004 = 380289000

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 39004

39004 = 2 x 2 x 7 x 7 x 199

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

LCM = 380289000 = 2 x 2 x 2 x 3 x 5 x 5 x 5 x 7 x 7 x 13 x 199

Step 4: Therefore, the least common multiple of 39000 and 39004 is 380289000.