Least Common Multiple of 2420 and 2427

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2420 and 2427 the smallest integer that is 5873340 that is divisible by both numbers.

Least Common Multiple (LCM) of 2420 and 2427 is 5873340.

LCM(2420,2427) = 5873340

LCM of 2420 and 2427

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

LCM of:
and

Least Common Multiple of 2420 and 2427

LCM of 2420 and 2427 is 5873340

Least common multiple can be found by multiplying the highest exponent prime factors of 2420 and 2427. First we will calculate the prime factors of 2420 and 2427.

Prime Factorization of 2420


2 2420
2 1210
5 605
11 121
11 11
1

Prime factors of 2420 are 2, 5,11. Prime factorization of 2420 in exponential form is:

2420 = 22×51×112

Prime Factorization of 2427


3 2427
809 809
1

Prime factors of 2427 are 3,809. Prime factorization of 2427 in exponential form is:

2427 = 31×8091

Now multiplying the highest exponent prime factors to calculate the LCM of 2420 and 2427.

LCM(2420,2427) = 22×31×51×112×8091
LCM(2420,2427) = 5873340

Factors of 2420

List of positive integer factors of 2420 that divides 2420 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 121, 220, 242, 484, 605, 1210, 2420

Factors of 2427

List of positive integer factors of 2427 that divides 2427 without a remainder.

1, 3, 809, 2427

Least Common Multiple of 2420 and 2427 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2420 and 2427, than apply into the LCM equation.

GCF(2420,2427) = 1
LCM(2420,2427) = ( 2420 × 2427) / 1
LCM(2420,2427) = 5873340 / 1
LCM(2420,2427) = 5873340

Properties of LCM 2420 and 2427

(i) The LCM of 2427 and 2420 is associative

LCM of 2420 and 2427 = LCM of 2427 and 2420

Related Least Common Multiples of 2420

Related Least Common Multiples of 2427

Frequently Asked Questions on LCM of 2420 and 2427

1. What is the LCM of 2420 and 2427?

Answer: LCM of 2420 and 2427 is 5873340.

2. What are the Factors of 2420?

Answer: Factors of 2420 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 121, 220, 242, 484, 605, 1210, 2420. There are 18 integers that are factors of 2420. The greatest factor of 2420 is 2420.

3. What are the Factors of 2427?

Answer: Factors of 2427 are 1, 3, 809, 2427. There are 4 integers that are factors of 2427. The greatest factor of 2427 is 2427.

4. How to Find the LCM of 2420 and 2427?

Answer:

Least Common Multiple of 2420 and 2427 = 5873340

Step 1: Find the prime factorization of 2420

2420 = 2 x 2 x 5 x 11 x 11

Step 2: Find the prime factorization of 2427

2427 = 3 x 809

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

LCM = 5873340 = 2 x 2 x 3 x 5 x 11 x 11 x 809

Step 4: Therefore, the least common multiple of 2420 and 2427 is 5873340.