Least Common Multiple of 2417 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 2417 and 2422 the smallest integer that is 5853974 that is divisible by both numbers.

Least Common Multiple (LCM) of 2417 and 2422 is 5853974.

LCM(2417,2422) = 5853974

LCM of 2417 and 2422

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

LCM of:
and

Least Common Multiple of 2417 and 2422

LCM of 2417 and 2422 is 5853974

Least common multiple can be found by multiplying the highest exponent prime factors of 2417 and 2422. First we will calculate the prime factors of 2417 and 2422.

Prime Factorization of 2417


2417 2417
1

Prime factors of 2417 are 2417. Prime factorization of 2417 in exponential form is:

2417 = 24171

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 2417 and 2422.

LCM(2417,2422) = 21×71×1731×24171
LCM(2417,2422) = 5853974

Factors of 2417

List of positive integer factors of 2417 that divides 2417 without a remainder.

1, 2417

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 2417 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 2417 and 2422, than apply into the LCM equation.

GCF(2417,2422) = 1
LCM(2417,2422) = ( 2417 × 2422) / 1
LCM(2417,2422) = 5853974 / 1
LCM(2417,2422) = 5853974

Properties of LCM 2417 and 2422

(i) The LCM of 2422 and 2417 is associative

LCM of 2417 and 2422 = LCM of 2422 and 2417

Related Least Common Multiples of 2417

Related Least Common Multiples of 2422

Frequently Asked Questions on LCM of 2417 and 2422

1. What is the LCM of 2417 and 2422?

Answer: LCM of 2417 and 2422 is 5853974.

2. What are the Factors of 2417?

Answer: Factors of 2417 are 1, 2417. There are 2 integers that are factors of 2417. The greatest factor of 2417 is 2417.

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 2417 and 2422?

Answer:

Least Common Multiple of 2417 and 2422 = 5853974

Step 1: Find the prime factorization of 2417

2417 = 2417

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 = 5853974 = 2 x 7 x 173 x 2417

Step 4: Therefore, the least common multiple of 2417 and 2422 is 5853974.