Least Common Multiple of 39004 and 39011

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 39004 and 39011 the smallest integer that is 217369292 that is divisible by both numbers.

Least Common Multiple (LCM) of 39004 and 39011 is 217369292.

LCM(39004,39011) = 217369292

LCM of 39004 and 39011

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

LCM of:
and

Least Common Multiple of 39004 and 39011

LCM of 39004 and 39011 is 217369292

Least common multiple can be found by multiplying the highest exponent prime factors of 39004 and 39011. First we will calculate the prime factors of 39004 and 39011.

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

Prime Factorization of 39011


7 39011
5573 5573
1

Prime factors of 39011 are 7,5573. Prime factorization of 39011 in exponential form is:

39011 = 71×55731

Now multiplying the highest exponent prime factors to calculate the LCM of 39004 and 39011.

LCM(39004,39011) = 22×72×1991×55731
LCM(39004,39011) = 217369292

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

Factors of 39011

List of positive integer factors of 39011 that divides 39011 without a remainder.

1, 7, 5573, 39011

Least Common Multiple of 39004 and 39011 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39004 and 39011, than apply into the LCM equation.

GCF(39004,39011) = 7
LCM(39004,39011) = ( 39004 × 39011) / 7
LCM(39004,39011) = 1521585044 / 7
LCM(39004,39011) = 217369292

Properties of LCM 39004 and 39011

(i) The LCM of 39011 and 39004 is associative

LCM of 39004 and 39011 = LCM of 39011 and 39004

Related Least Common Multiples of 39004

Related Least Common Multiples of 39011

Frequently Asked Questions on LCM of 39004 and 39011

1. What is the LCM of 39004 and 39011?

Answer: LCM of 39004 and 39011 is 217369292.

2. 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.

3. What are the Factors of 39011?

Answer: Factors of 39011 are 1, 7, 5573, 39011. There are 4 integers that are factors of 39011. The greatest factor of 39011 is 39011.

4. How to Find the LCM of 39004 and 39011?

Answer:

Least Common Multiple of 39004 and 39011 = 217369292

Step 1: Find the prime factorization of 39004

39004 = 2 x 2 x 7 x 7 x 199

Step 2: Find the prime factorization of 39011

39011 = 7 x 5573

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

LCM = 217369292 = 2 x 2 x 7 x 7 x 199 x 5573

Step 4: Therefore, the least common multiple of 39004 and 39011 is 217369292.