Least Common Multiple of 8417 and 8422

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8417 and 8422 the smallest integer that is 70887974 that is divisible by both numbers.

Least Common Multiple (LCM) of 8417 and 8422 is 70887974.

LCM(8417,8422) = 70887974

LCM of 8417 and 8422

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

LCM of:
and

Least Common Multiple of 8417 and 8422

LCM of 8417 and 8422 is 70887974

Least common multiple can be found by multiplying the highest exponent prime factors of 8417 and 8422. First we will calculate the prime factors of 8417 and 8422.

Prime Factorization of 8417


19 8417
443 443
1

Prime factors of 8417 are 19,443. Prime factorization of 8417 in exponential form is:

8417 = 191×4431

Prime Factorization of 8422


2 8422
4211 4211
1

Prime factors of 8422 are 2,4211. Prime factorization of 8422 in exponential form is:

8422 = 21×42111

Now multiplying the highest exponent prime factors to calculate the LCM of 8417 and 8422.

LCM(8417,8422) = 21×191×4431×42111
LCM(8417,8422) = 70887974

Factors of 8417

List of positive integer factors of 8417 that divides 8417 without a remainder.

1, 19, 443, 8417

Factors of 8422

List of positive integer factors of 8422 that divides 8422 without a remainder.

1, 2, 4211, 8422

Least Common Multiple of 8417 and 8422 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8417 and 8422, than apply into the LCM equation.

GCF(8417,8422) = 1
LCM(8417,8422) = ( 8417 × 8422) / 1
LCM(8417,8422) = 70887974 / 1
LCM(8417,8422) = 70887974

Properties of LCM 8417 and 8422

(i) The LCM of 8422 and 8417 is associative

LCM of 8417 and 8422 = LCM of 8422 and 8417

Related Least Common Multiples of 8417

Related Least Common Multiples of 8422

Frequently Asked Questions on LCM of 8417 and 8422

1. What is the LCM of 8417 and 8422?

Answer: LCM of 8417 and 8422 is 70887974.

2. What are the Factors of 8417?

Answer: Factors of 8417 are 1, 19, 443, 8417. There are 4 integers that are factors of 8417. The greatest factor of 8417 is 8417.

3. What are the Factors of 8422?

Answer: Factors of 8422 are 1, 2, 4211, 8422. There are 4 integers that are factors of 8422. The greatest factor of 8422 is 8422.

4. How to Find the LCM of 8417 and 8422?

Answer:

Least Common Multiple of 8417 and 8422 = 70887974

Step 1: Find the prime factorization of 8417

8417 = 19 x 443

Step 2: Find the prime factorization of 8422

8422 = 2 x 4211

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

LCM = 70887974 = 2 x 19 x 443 x 4211

Step 4: Therefore, the least common multiple of 8417 and 8422 is 70887974.