Least Common Multiple of 4010 and 4014

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 4014 the smallest integer that is 8048070 that is divisible by both numbers.

Least Common Multiple (LCM) of 4010 and 4014 is 8048070.

LCM(4010,4014) = 8048070

LCM of 4010 and 4014

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

LCM of:
and

Least Common Multiple of 4010 and 4014

LCM of 4010 and 4014 is 8048070

Least common multiple can be found by multiplying the highest exponent prime factors of 4010 and 4014. First we will calculate the prime factors of 4010 and 4014.

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 4014


2 4014
3 2007
3 669
223 223
1

Prime factors of 4014 are 2, 3,223. Prime factorization of 4014 in exponential form is:

4014 = 21×32×2231

Now multiplying the highest exponent prime factors to calculate the LCM of 4010 and 4014.

LCM(4010,4014) = 21×32×51×2231×4011
LCM(4010,4014) = 8048070

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 4014

List of positive integer factors of 4014 that divides 4014 without a remainder.

1, 2, 3, 6, 9, 18, 223, 446, 669, 1338, 2007, 4014

Least Common Multiple of 4010 and 4014 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 4014, than apply into the LCM equation.

GCF(4010,4014) = 2
LCM(4010,4014) = ( 4010 × 4014) / 2
LCM(4010,4014) = 16096140 / 2
LCM(4010,4014) = 8048070

Properties of LCM 4010 and 4014

(i) The LCM of 4014 and 4010 is associative

LCM of 4010 and 4014 = LCM of 4014 and 4010

Related Least Common Multiples of 4010

Related Least Common Multiples of 4014

Frequently Asked Questions on LCM of 4010 and 4014

1. What is the LCM of 4010 and 4014?

Answer: LCM of 4010 and 4014 is 8048070.

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 4014?

Answer: Factors of 4014 are 1, 2, 3, 6, 9, 18, 223, 446, 669, 1338, 2007, 4014. There are 12 integers that are factors of 4014. The greatest factor of 4014 is 4014.

4. How to Find the LCM of 4010 and 4014?

Answer:

Least Common Multiple of 4010 and 4014 = 8048070

Step 1: Find the prime factorization of 4010

4010 = 2 x 5 x 401

Step 2: Find the prime factorization of 4014

4014 = 2 x 3 x 3 x 223

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

LCM = 8048070 = 2 x 3 x 3 x 5 x 223 x 401

Step 4: Therefore, the least common multiple of 4010 and 4014 is 8048070.