Least Common Multiple of 4014 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 4014 and 4020 the smallest integer that is 2689380 that is divisible by both numbers.

Least Common Multiple (LCM) of 4014 and 4020 is 2689380.

LCM(4014,4020) = 2689380

LCM of 4014 and 4020

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

LCM of:
and

Least Common Multiple of 4014 and 4020

LCM of 4014 and 4020 is 2689380

Least common multiple can be found by multiplying the highest exponent prime factors of 4014 and 4020. First we will calculate the prime factors of 4014 and 4020.

Prime Factorization of 4014


2 4014
3 2007
3 669
223 223
1

Prime factors of 4014 are 2, 3,223. Prime factorization of 4014 in exponential form is:

4014 = 21×32×2231

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 4014 and 4020.

LCM(4014,4020) = 22×32×51×671×2231
LCM(4014,4020) = 2689380

Factors of 4014

List of positive integer factors of 4014 that divides 4014 without a remainder.

1, 2, 3, 6, 9, 18, 223, 446, 669, 1338, 2007, 4014

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 4014 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 4014 and 4020, than apply into the LCM equation.

GCF(4014,4020) = 6
LCM(4014,4020) = ( 4014 × 4020) / 6
LCM(4014,4020) = 16136280 / 6
LCM(4014,4020) = 2689380

Properties of LCM 4014 and 4020

(i) The LCM of 4020 and 4014 is associative

LCM of 4014 and 4020 = LCM of 4020 and 4014

Related Least Common Multiples of 4014

Related Least Common Multiples of 4020

Frequently Asked Questions on LCM of 4014 and 4020

1. What is the LCM of 4014 and 4020?

Answer: LCM of 4014 and 4020 is 2689380.

2. What are the Factors of 4014?

Answer: Factors of 4014 are 1, 2, 3, 6, 9, 18, 223, 446, 669, 1338, 2007, 4014. There are 12 integers that are factors of 4014. The greatest factor of 4014 is 4014.

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 4014 and 4020?

Answer:

Least Common Multiple of 4014 and 4020 = 2689380

Step 1: Find the prime factorization of 4014

4014 = 2 x 3 x 3 x 223

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 = 2689380 = 2 x 2 x 3 x 3 x 5 x 67 x 223

Step 4: Therefore, the least common multiple of 4014 and 4020 is 2689380.