Least Common Multiple of 422 and 425

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 422 and 425 the smallest integer that is 179350 that is divisible by both numbers.

Least Common Multiple (LCM) of 422 and 425 is 179350.

LCM(422,425) = 179350

LCM of 422 and 425

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

LCM of:
and

Least Common Multiple of 422 and 425

LCM of 422 and 425 is 179350

Least common multiple can be found by multiplying the highest exponent prime factors of 422 and 425. First we will calculate the prime factors of 422 and 425.

Prime Factorization of 422


2 422
211 211
1

Prime factors of 422 are 2,211. Prime factorization of 422 in exponential form is:

422 = 21×2111

Prime Factorization of 425


5 425
5 85
17 17
1

Prime factors of 425 are 5,17. Prime factorization of 425 in exponential form is:

425 = 52×171

Now multiplying the highest exponent prime factors to calculate the LCM of 422 and 425.

LCM(422,425) = 21×52×171×2111
LCM(422,425) = 179350

Factors of 422

List of positive integer factors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Factors of 425

List of positive integer factors of 425 that divides 425 without a remainder.

1, 5, 17, 25, 85, 425

Least Common Multiple of 422 and 425 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 422 and 425, than apply into the LCM equation.

GCF(422,425) = 1
LCM(422,425) = ( 422 × 425) / 1
LCM(422,425) = 179350 / 1
LCM(422,425) = 179350

Properties of LCM 422 and 425

(i) The LCM of 425 and 422 is associative

LCM of 422 and 425 = LCM of 425 and 422

Related Least Common Multiples of 422

Related Least Common Multiples of 425

Frequently Asked Questions on LCM of 422 and 425

1. What is the LCM of 422 and 425?

Answer: LCM of 422 and 425 is 179350.

2. What are the Factors of 422?

Answer: Factors of 422 are 1, 2, 211, 422. There are 4 integers that are factors of 422. The greatest factor of 422 is 422.

3. What are the Factors of 425?

Answer: Factors of 425 are 1, 5, 17, 25, 85, 425. There are 6 integers that are factors of 425. The greatest factor of 425 is 425.

4. How to Find the LCM of 422 and 425?

Answer:

Least Common Multiple of 422 and 425 = 179350

Step 1: Find the prime factorization of 422

422 = 2 x 211

Step 2: Find the prime factorization of 425

425 = 5 x 5 x 17

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

LCM = 179350 = 2 x 5 x 5 x 17 x 211

Step 4: Therefore, the least common multiple of 422 and 425 is 179350.