Least Common Multiple of 4020 and 4027

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4020 and 4027 the smallest integer that is 16188540 that is divisible by both numbers.

Least Common Multiple (LCM) of 4020 and 4027 is 16188540.

LCM(4020,4027) = 16188540

LCM of 4020 and 4027

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

LCM of:
and

Least Common Multiple of 4020 and 4027

LCM of 4020 and 4027 is 16188540

Least common multiple can be found by multiplying the highest exponent prime factors of 4020 and 4027. First we will calculate the prime factors of 4020 and 4027.

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

Prime Factorization of 4027


4027 4027
1

Prime factors of 4027 are 4027. Prime factorization of 4027 in exponential form is:

4027 = 40271

Now multiplying the highest exponent prime factors to calculate the LCM of 4020 and 4027.

LCM(4020,4027) = 22×31×51×671×40271
LCM(4020,4027) = 16188540

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

Factors of 4027

List of positive integer factors of 4027 that divides 4027 without a remainder.

1, 4027

Least Common Multiple of 4020 and 4027 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4020 and 4027, than apply into the LCM equation.

GCF(4020,4027) = 1
LCM(4020,4027) = ( 4020 × 4027) / 1
LCM(4020,4027) = 16188540 / 1
LCM(4020,4027) = 16188540

Properties of LCM 4020 and 4027

(i) The LCM of 4027 and 4020 is associative

LCM of 4020 and 4027 = LCM of 4027 and 4020

Related Least Common Multiples of 4020

Related Least Common Multiples of 4027

Frequently Asked Questions on LCM of 4020 and 4027

1. What is the LCM of 4020 and 4027?

Answer: LCM of 4020 and 4027 is 16188540.

2. 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.

3. What are the Factors of 4027?

Answer: Factors of 4027 are 1, 4027. There are 2 integers that are factors of 4027. The greatest factor of 4027 is 4027.

4. How to Find the LCM of 4020 and 4027?

Answer:

Least Common Multiple of 4020 and 4027 = 16188540

Step 1: Find the prime factorization of 4020

4020 = 2 x 2 x 3 x 5 x 67

Step 2: Find the prime factorization of 4027

4027 = 4027

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

LCM = 16188540 = 2 x 2 x 3 x 5 x 67 x 4027

Step 4: Therefore, the least common multiple of 4020 and 4027 is 16188540.