Least Common Multiple of 4015 and 4020

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 4020 the smallest integer that is 3228060 that is divisible by both numbers.

Least Common Multiple (LCM) of 4015 and 4020 is 3228060.

LCM(4015,4020) = 3228060

LCM of 4015 and 4020

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

LCM of:
and

Least Common Multiple of 4015 and 4020

LCM of 4015 and 4020 is 3228060

Least common multiple can be found by multiplying the highest exponent prime factors of 4015 and 4020. First we will calculate the prime factors of 4015 and 4020.

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 4020


2 4020
2 2010
3 1005
5 335
67 67
1

Prime factors of 4020 are 2, 3, 5,67. Prime factorization of 4020 in exponential form is:

4020 = 22×31×51×671

Now multiplying the highest exponent prime factors to calculate the LCM of 4015 and 4020.

LCM(4015,4020) = 22×31×51×111×671×731
LCM(4015,4020) = 3228060

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 4020

List of positive integer factors of 4020 that divides 4020 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 67, 134, 201, 268, 335, 402, 670, 804, 1005, 1340, 2010, 4020

Least Common Multiple of 4015 and 4020 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 4020, than apply into the LCM equation.

GCF(4015,4020) = 5
LCM(4015,4020) = ( 4015 × 4020) / 5
LCM(4015,4020) = 16140300 / 5
LCM(4015,4020) = 3228060

Properties of LCM 4015 and 4020

(i) The LCM of 4020 and 4015 is associative

LCM of 4015 and 4020 = LCM of 4020 and 4015

Related Least Common Multiples of 4015

Related Least Common Multiples of 4020

Frequently Asked Questions on LCM of 4015 and 4020

1. What is the LCM of 4015 and 4020?

Answer: LCM of 4015 and 4020 is 3228060.

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 4020?

Answer: Factors of 4020 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 67, 134, 201, 268, 335, 402, 670, 804, 1005, 1340, 2010, 4020. There are 24 integers that are factors of 4020. The greatest factor of 4020 is 4020.

4. How to Find the LCM of 4015 and 4020?

Answer:

Least Common Multiple of 4015 and 4020 = 3228060

Step 1: Find the prime factorization of 4015

4015 = 5 x 11 x 73

Step 2: Find the prime factorization of 4020

4020 = 2 x 2 x 3 x 5 x 67

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

LCM = 3228060 = 2 x 2 x 3 x 5 x 11 x 67 x 73

Step 4: Therefore, the least common multiple of 4015 and 4020 is 3228060.