Least Common Multiple of 4007 and 4015

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4007 and 4015 the smallest integer that is 16088105 that is divisible by both numbers.

Least Common Multiple (LCM) of 4007 and 4015 is 16088105.

LCM(4007,4015) = 16088105

LCM of 4007 and 4015

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

LCM of:
and

Least Common Multiple of 4007 and 4015

LCM of 4007 and 4015 is 16088105

Least common multiple can be found by multiplying the highest exponent prime factors of 4007 and 4015. First we will calculate the prime factors of 4007 and 4015.

Prime Factorization of 4007


4007 4007
1

Prime factors of 4007 are 4007. Prime factorization of 4007 in exponential form is:

4007 = 40071

Prime Factorization of 4015


5 4015
11 803
73 73
1

Prime factors of 4015 are 5, 11,73. Prime factorization of 4015 in exponential form is:

4015 = 51×111×731

Now multiplying the highest exponent prime factors to calculate the LCM of 4007 and 4015.

LCM(4007,4015) = 51×111×731×40071
LCM(4007,4015) = 16088105

Factors of 4007

List of positive integer factors of 4007 that divides 4007 without a remainder.

1, 4007

Factors of 4015

List of positive integer factors of 4015 that divides 4015 without a remainder.

1, 5, 11, 55, 73, 365, 803, 4015

Least Common Multiple of 4007 and 4015 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4007 and 4015, than apply into the LCM equation.

GCF(4007,4015) = 1
LCM(4007,4015) = ( 4007 × 4015) / 1
LCM(4007,4015) = 16088105 / 1
LCM(4007,4015) = 16088105

Properties of LCM 4007 and 4015

(i) The LCM of 4015 and 4007 is associative

LCM of 4007 and 4015 = LCM of 4015 and 4007

Related Least Common Multiples of 4007

Related Least Common Multiples of 4015

Frequently Asked Questions on LCM of 4007 and 4015

1. What is the LCM of 4007 and 4015?

Answer: LCM of 4007 and 4015 is 16088105.

2. What are the Factors of 4007?

Answer: Factors of 4007 are 1, 4007. There are 2 integers that are factors of 4007. The greatest factor of 4007 is 4007.

3. What are the Factors of 4015?

Answer: Factors of 4015 are 1, 5, 11, 55, 73, 365, 803, 4015. There are 8 integers that are factors of 4015. The greatest factor of 4015 is 4015.

4. How to Find the LCM of 4007 and 4015?

Answer:

Least Common Multiple of 4007 and 4015 = 16088105

Step 1: Find the prime factorization of 4007

4007 = 4007

Step 2: Find the prime factorization of 4015

4015 = 5 x 11 x 73

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

LCM = 16088105 = 5 x 11 x 73 x 4007

Step 4: Therefore, the least common multiple of 4007 and 4015 is 16088105.