Least Common Multiple of 4016 and 4021

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4016 and 4021 the smallest integer that is 16148336 that is divisible by both numbers.

Least Common Multiple (LCM) of 4016 and 4021 is 16148336.

LCM(4016,4021) = 16148336

LCM of 4016 and 4021

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

LCM of:
and

Least Common Multiple of 4016 and 4021

LCM of 4016 and 4021 is 16148336

Least common multiple can be found by multiplying the highest exponent prime factors of 4016 and 4021. First we will calculate the prime factors of 4016 and 4021.

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

Prime Factorization of 4021


4021 4021
1

Prime factors of 4021 are 4021. Prime factorization of 4021 in exponential form is:

4021 = 40211

Now multiplying the highest exponent prime factors to calculate the LCM of 4016 and 4021.

LCM(4016,4021) = 24×2511×40211
LCM(4016,4021) = 16148336

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

Factors of 4021

List of positive integer factors of 4021 that divides 4021 without a remainder.

1, 4021

Least Common Multiple of 4016 and 4021 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4016 and 4021, than apply into the LCM equation.

GCF(4016,4021) = 1
LCM(4016,4021) = ( 4016 × 4021) / 1
LCM(4016,4021) = 16148336 / 1
LCM(4016,4021) = 16148336

Properties of LCM 4016 and 4021

(i) The LCM of 4021 and 4016 is associative

LCM of 4016 and 4021 = LCM of 4021 and 4016

Related Least Common Multiples of 4016

Related Least Common Multiples of 4021

Frequently Asked Questions on LCM of 4016 and 4021

1. What is the LCM of 4016 and 4021?

Answer: LCM of 4016 and 4021 is 16148336.

2. 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.

3. What are the Factors of 4021?

Answer: Factors of 4021 are 1, 4021. There are 2 integers that are factors of 4021. The greatest factor of 4021 is 4021.

4. How to Find the LCM of 4016 and 4021?

Answer:

Least Common Multiple of 4016 and 4021 = 16148336

Step 1: Find the prime factorization of 4016

4016 = 2 x 2 x 2 x 2 x 251

Step 2: Find the prime factorization of 4021

4021 = 4021

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

LCM = 16148336 = 2 x 2 x 2 x 2 x 251 x 4021

Step 4: Therefore, the least common multiple of 4016 and 4021 is 16148336.