Least Common Multiple of 4015 and 4022

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4015 and 4022 the smallest integer that is 16148330 that is divisible by both numbers.

Least Common Multiple (LCM) of 4015 and 4022 is 16148330.

LCM(4015,4022) = 16148330

LCM of 4015 and 4022

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

LCM of:
and

Least Common Multiple of 4015 and 4022

LCM of 4015 and 4022 is 16148330

Least common multiple can be found by multiplying the highest exponent prime factors of 4015 and 4022. First we will calculate the prime factors of 4015 and 4022.

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

Prime Factorization of 4022


2 4022
2011 2011
1

Prime factors of 4022 are 2,2011. Prime factorization of 4022 in exponential form is:

4022 = 21×20111

Now multiplying the highest exponent prime factors to calculate the LCM of 4015 and 4022.

LCM(4015,4022) = 21×51×111×731×20111
LCM(4015,4022) = 16148330

Factors of 4015

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

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

Factors of 4022

List of positive integer factors of 4022 that divides 4022 without a remainder.

1, 2, 2011, 4022

Least Common Multiple of 4015 and 4022 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4015 and 4022, than apply into the LCM equation.

GCF(4015,4022) = 1
LCM(4015,4022) = ( 4015 × 4022) / 1
LCM(4015,4022) = 16148330 / 1
LCM(4015,4022) = 16148330

Properties of LCM 4015 and 4022

(i) The LCM of 4022 and 4015 is associative

LCM of 4015 and 4022 = LCM of 4022 and 4015

Related Least Common Multiples of 4015

Related Least Common Multiples of 4022

Frequently Asked Questions on LCM of 4015 and 4022

1. What is the LCM of 4015 and 4022?

Answer: LCM of 4015 and 4022 is 16148330.

2. 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.

3. What are the Factors of 4022?

Answer: Factors of 4022 are 1, 2, 2011, 4022. There are 4 integers that are factors of 4022. The greatest factor of 4022 is 4022.

4. How to Find the LCM of 4015 and 4022?

Answer:

Least Common Multiple of 4015 and 4022 = 16148330

Step 1: Find the prime factorization of 4015

4015 = 5 x 11 x 73

Step 2: Find the prime factorization of 4022

4022 = 2 x 2011

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

LCM = 16148330 = 2 x 5 x 11 x 73 x 2011

Step 4: Therefore, the least common multiple of 4015 and 4022 is 16148330.