Least Common Multiple of 4009 and 4016

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4009 and 4016 the smallest integer that is 16100144 that is divisible by both numbers.

Least Common Multiple (LCM) of 4009 and 4016 is 16100144.

LCM(4009,4016) = 16100144

LCM of 4009 and 4016

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

LCM of:
and

Least Common Multiple of 4009 and 4016

LCM of 4009 and 4016 is 16100144

Least common multiple can be found by multiplying the highest exponent prime factors of 4009 and 4016. First we will calculate the prime factors of 4009 and 4016.

Prime Factorization of 4009


19 4009
211 211
1

Prime factors of 4009 are 19,211. Prime factorization of 4009 in exponential form is:

4009 = 191×2111

Prime Factorization of 4016


2 4016
2 2008
2 1004
2 502
251 251
1

Prime factors of 4016 are 2,251. Prime factorization of 4016 in exponential form is:

4016 = 24×2511

Now multiplying the highest exponent prime factors to calculate the LCM of 4009 and 4016.

LCM(4009,4016) = 24×191×2111×2511
LCM(4009,4016) = 16100144

Factors of 4009

List of positive integer factors of 4009 that divides 4009 without a remainder.

1, 19, 211, 4009

Factors of 4016

List of positive integer factors of 4016 that divides 4016 without a remainder.

1, 2, 4, 8, 16, 251, 502, 1004, 2008, 4016

Least Common Multiple of 4009 and 4016 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4009 and 4016, than apply into the LCM equation.

GCF(4009,4016) = 1
LCM(4009,4016) = ( 4009 × 4016) / 1
LCM(4009,4016) = 16100144 / 1
LCM(4009,4016) = 16100144

Properties of LCM 4009 and 4016

(i) The LCM of 4016 and 4009 is associative

LCM of 4009 and 4016 = LCM of 4016 and 4009

Related Least Common Multiples of 4009

Related Least Common Multiples of 4016

Frequently Asked Questions on LCM of 4009 and 4016

1. What is the LCM of 4009 and 4016?

Answer: LCM of 4009 and 4016 is 16100144.

2. What are the Factors of 4009?

Answer: Factors of 4009 are 1, 19, 211, 4009. There are 4 integers that are factors of 4009. The greatest factor of 4009 is 4009.

3. What are the Factors of 4016?

Answer: Factors of 4016 are 1, 2, 4, 8, 16, 251, 502, 1004, 2008, 4016. There are 10 integers that are factors of 4016. The greatest factor of 4016 is 4016.

4. How to Find the LCM of 4009 and 4016?

Answer:

Least Common Multiple of 4009 and 4016 = 16100144

Step 1: Find the prime factorization of 4009

4009 = 19 x 211

Step 2: Find the prime factorization of 4016

4016 = 2 x 2 x 2 x 2 x 251

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

LCM = 16100144 = 2 x 2 x 2 x 2 x 19 x 211 x 251

Step 4: Therefore, the least common multiple of 4009 and 4016 is 16100144.