Least Common Multiple of 4010 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 4010 and 4015 the smallest integer that is 3220030 that is divisible by both numbers.

Least Common Multiple (LCM) of 4010 and 4015 is 3220030.

LCM(4010,4015) = 3220030

LCM of 4010 and 4015

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

LCM of:
and

Least Common Multiple of 4010 and 4015

LCM of 4010 and 4015 is 3220030

Least common multiple can be found by multiplying the highest exponent prime factors of 4010 and 4015. First we will calculate the prime factors of 4010 and 4015.

Prime Factorization of 4010


2 4010
5 2005
401 401
1

Prime factors of 4010 are 2, 5,401. Prime factorization of 4010 in exponential form is:

4010 = 21×51×4011

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 4010 and 4015.

LCM(4010,4015) = 21×51×111×731×4011
LCM(4010,4015) = 3220030

Factors of 4010

List of positive integer factors of 4010 that divides 4010 without a remainder.

1, 2, 5, 10, 401, 802, 2005, 4010

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 4010 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 4010 and 4015, than apply into the LCM equation.

GCF(4010,4015) = 5
LCM(4010,4015) = ( 4010 × 4015) / 5
LCM(4010,4015) = 16100150 / 5
LCM(4010,4015) = 3220030

Properties of LCM 4010 and 4015

(i) The LCM of 4015 and 4010 is associative

LCM of 4010 and 4015 = LCM of 4015 and 4010

Related Least Common Multiples of 4010

Related Least Common Multiples of 4015

Frequently Asked Questions on LCM of 4010 and 4015

1. What is the LCM of 4010 and 4015?

Answer: LCM of 4010 and 4015 is 3220030.

2. What are the Factors of 4010?

Answer: Factors of 4010 are 1, 2, 5, 10, 401, 802, 2005, 4010. There are 8 integers that are factors of 4010. The greatest factor of 4010 is 4010.

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 4010 and 4015?

Answer:

Least Common Multiple of 4010 and 4015 = 3220030

Step 1: Find the prime factorization of 4010

4010 = 2 x 5 x 401

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 = 3220030 = 2 x 5 x 11 x 73 x 401

Step 4: Therefore, the least common multiple of 4010 and 4015 is 3220030.