Least Common Multiple of 39001 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 39001 and 39004 the smallest integer that is 1521195004 that is divisible by both numbers.

Least Common Multiple (LCM) of 39001 and 39004 is 1521195004.

LCM(39001,39004) = 1521195004

LCM of 39001 and 39004

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

LCM of:
and

Least Common Multiple of 39001 and 39004

LCM of 39001 and 39004 is 1521195004

Least common multiple can be found by multiplying the highest exponent prime factors of 39001 and 39004. First we will calculate the prime factors of 39001 and 39004.

Prime Factorization of 39001


43 39001
907 907
1

Prime factors of 39001 are 43,907. Prime factorization of 39001 in exponential form is:

39001 = 431×9071

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 39001 and 39004.

LCM(39001,39004) = 22×72×431×1991×9071
LCM(39001,39004) = 1521195004

Factors of 39001

List of positive integer factors of 39001 that divides 39001 without a remainder.

1, 43, 907, 39001

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 39001 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 39001 and 39004, than apply into the LCM equation.

GCF(39001,39004) = 1
LCM(39001,39004) = ( 39001 × 39004) / 1
LCM(39001,39004) = 1521195004 / 1
LCM(39001,39004) = 1521195004

Properties of LCM 39001 and 39004

(i) The LCM of 39004 and 39001 is associative

LCM of 39001 and 39004 = LCM of 39004 and 39001

Related Least Common Multiples of 39001

Related Least Common Multiples of 39004

Frequently Asked Questions on LCM of 39001 and 39004

1. What is the LCM of 39001 and 39004?

Answer: LCM of 39001 and 39004 is 1521195004.

2. What are the Factors of 39001?

Answer: Factors of 39001 are 1, 43, 907, 39001. There are 4 integers that are factors of 39001. The greatest factor of 39001 is 39001.

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 39001 and 39004?

Answer:

Least Common Multiple of 39001 and 39004 = 1521195004

Step 1: Find the prime factorization of 39001

39001 = 43 x 907

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 = 1521195004 = 2 x 2 x 7 x 7 x 43 x 199 x 907

Step 4: Therefore, the least common multiple of 39001 and 39004 is 1521195004.