Least Common Multiple of 39008 and 39013

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 39008 and 39013 the smallest integer that is 1521819104 that is divisible by both numbers.

Least Common Multiple (LCM) of 39008 and 39013 is 1521819104.

LCM(39008,39013) = 1521819104

LCM of 39008 and 39013

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

LCM of:
and

Least Common Multiple of 39008 and 39013

LCM of 39008 and 39013 is 1521819104

Least common multiple can be found by multiplying the highest exponent prime factors of 39008 and 39013. First we will calculate the prime factors of 39008 and 39013.

Prime Factorization of 39008


2 39008
2 19504
2 9752
2 4876
2 2438
23 1219
53 53
1

Prime factors of 39008 are 2, 23,53. Prime factorization of 39008 in exponential form is:

39008 = 25×231×531

Prime Factorization of 39013


13 39013
3001 3001
1

Prime factors of 39013 are 13,3001. Prime factorization of 39013 in exponential form is:

39013 = 131×30011

Now multiplying the highest exponent prime factors to calculate the LCM of 39008 and 39013.

LCM(39008,39013) = 25×131×231×531×30011
LCM(39008,39013) = 1521819104

Factors of 39008

List of positive integer factors of 39008 that divides 39008 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 53, 92, 106, 184, 212, 368, 424, 736, 848, 1219, 1696, 2438, 4876, 9752, 19504, 39008

Factors of 39013

List of positive integer factors of 39013 that divides 39013 without a remainder.

1, 13, 3001, 39013

Least Common Multiple of 39008 and 39013 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39008 and 39013, than apply into the LCM equation.

GCF(39008,39013) = 1
LCM(39008,39013) = ( 39008 × 39013) / 1
LCM(39008,39013) = 1521819104 / 1
LCM(39008,39013) = 1521819104

Properties of LCM 39008 and 39013

(i) The LCM of 39013 and 39008 is associative

LCM of 39008 and 39013 = LCM of 39013 and 39008

Related Least Common Multiples of 39008

Related Least Common Multiples of 39013

Frequently Asked Questions on LCM of 39008 and 39013

1. What is the LCM of 39008 and 39013?

Answer: LCM of 39008 and 39013 is 1521819104.

2. What are the Factors of 39008?

Answer: Factors of 39008 are 1, 2, 4, 8, 16, 23, 32, 46, 53, 92, 106, 184, 212, 368, 424, 736, 848, 1219, 1696, 2438, 4876, 9752, 19504, 39008. There are 24 integers that are factors of 39008. The greatest factor of 39008 is 39008.

3. What are the Factors of 39013?

Answer: Factors of 39013 are 1, 13, 3001, 39013. There are 4 integers that are factors of 39013. The greatest factor of 39013 is 39013.

4. How to Find the LCM of 39008 and 39013?

Answer:

Least Common Multiple of 39008 and 39013 = 1521819104

Step 1: Find the prime factorization of 39008

39008 = 2 x 2 x 2 x 2 x 2 x 23 x 53

Step 2: Find the prime factorization of 39013

39013 = 13 x 3001

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

LCM = 1521819104 = 2 x 2 x 2 x 2 x 2 x 13 x 23 x 53 x 3001

Step 4: Therefore, the least common multiple of 39008 and 39013 is 1521819104.