Least Common Multiple of 2414 and 2420

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2414 and 2420 the smallest integer that is 2920940 that is divisible by both numbers.

Least Common Multiple (LCM) of 2414 and 2420 is 2920940.

LCM(2414,2420) = 2920940

LCM of 2414 and 2420

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

LCM of:
and

Least Common Multiple of 2414 and 2420

LCM of 2414 and 2420 is 2920940

Least common multiple can be found by multiplying the highest exponent prime factors of 2414 and 2420. First we will calculate the prime factors of 2414 and 2420.

Prime Factorization of 2414


2 2414
17 1207
71 71
1

Prime factors of 2414 are 2, 17,71. Prime factorization of 2414 in exponential form is:

2414 = 21×171×711

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2414 and 2420.

LCM(2414,2420) = 22×51×112×171×711
LCM(2414,2420) = 2920940

Factors of 2414

List of positive integer factors of 2414 that divides 2414 without a remainder.

1, 2, 17, 34, 71, 142, 1207, 2414

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

Least Common Multiple of 2414 and 2420 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2414 and 2420, than apply into the LCM equation.

GCF(2414,2420) = 2
LCM(2414,2420) = ( 2414 × 2420) / 2
LCM(2414,2420) = 5841880 / 2
LCM(2414,2420) = 2920940

Properties of LCM 2414 and 2420

(i) The LCM of 2420 and 2414 is associative

LCM of 2414 and 2420 = LCM of 2420 and 2414

Related Least Common Multiples of 2414

Related Least Common Multiples of 2420

Frequently Asked Questions on LCM of 2414 and 2420

1. What is the LCM of 2414 and 2420?

Answer: LCM of 2414 and 2420 is 2920940.

2. What are the Factors of 2414?

Answer: Factors of 2414 are 1, 2, 17, 34, 71, 142, 1207, 2414. There are 8 integers that are factors of 2414. The greatest factor of 2414 is 2414.

3. 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.

4. How to Find the LCM of 2414 and 2420?

Answer:

Least Common Multiple of 2414 and 2420 = 2920940

Step 1: Find the prime factorization of 2414

2414 = 2 x 17 x 71

Step 2: Find the prime factorization of 2420

2420 = 2 x 2 x 5 x 11 x 11

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

LCM = 2920940 = 2 x 2 x 5 x 11 x 11 x 17 x 71

Step 4: Therefore, the least common multiple of 2414 and 2420 is 2920940.