Least Common Multiple of 2414 and 2422

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 2422 the smallest integer that is 2923354 that is divisible by both numbers.

Least Common Multiple (LCM) of 2414 and 2422 is 2923354.

LCM(2414,2422) = 2923354

LCM of 2414 and 2422

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

LCM of:
and

Least Common Multiple of 2414 and 2422

LCM of 2414 and 2422 is 2923354

Least common multiple can be found by multiplying the highest exponent prime factors of 2414 and 2422. First we will calculate the prime factors of 2414 and 2422.

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 2422


2 2422
7 1211
173 173
1

Prime factors of 2422 are 2, 7,173. Prime factorization of 2422 in exponential form is:

2422 = 21×71×1731

Now multiplying the highest exponent prime factors to calculate the LCM of 2414 and 2422.

LCM(2414,2422) = 21×71×171×711×1731
LCM(2414,2422) = 2923354

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 2422

List of positive integer factors of 2422 that divides 2422 without a remainder.

1, 2, 7, 14, 173, 346, 1211, 2422

Least Common Multiple of 2414 and 2422 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 2422, than apply into the LCM equation.

GCF(2414,2422) = 2
LCM(2414,2422) = ( 2414 × 2422) / 2
LCM(2414,2422) = 5846708 / 2
LCM(2414,2422) = 2923354

Properties of LCM 2414 and 2422

(i) The LCM of 2422 and 2414 is associative

LCM of 2414 and 2422 = LCM of 2422 and 2414

Related Least Common Multiples of 2414

Related Least Common Multiples of 2422

Frequently Asked Questions on LCM of 2414 and 2422

1. What is the LCM of 2414 and 2422?

Answer: LCM of 2414 and 2422 is 2923354.

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 2422?

Answer: Factors of 2422 are 1, 2, 7, 14, 173, 346, 1211, 2422. There are 8 integers that are factors of 2422. The greatest factor of 2422 is 2422.

4. How to Find the LCM of 2414 and 2422?

Answer:

Least Common Multiple of 2414 and 2422 = 2923354

Step 1: Find the prime factorization of 2414

2414 = 2 x 17 x 71

Step 2: Find the prime factorization of 2422

2422 = 2 x 7 x 173

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

LCM = 2923354 = 2 x 7 x 17 x 71 x 173

Step 4: Therefore, the least common multiple of 2414 and 2422 is 2923354.