Least Common Multiple of 422 and 427

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 427 the smallest integer that is 180194 that is divisible by both numbers.

Least Common Multiple (LCM) of 422 and 427 is 180194.

LCM(422,427) = 180194

LCM of 422 and 427

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

LCM of:
and

Least Common Multiple of 422 and 427

LCM of 422 and 427 is 180194

Least common multiple can be found by multiplying the highest exponent prime factors of 422 and 427. First we will calculate the prime factors of 422 and 427.

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 427


7 427
61 61
1

Prime factors of 427 are 7,61. Prime factorization of 427 in exponential form is:

427 = 71×611

Now multiplying the highest exponent prime factors to calculate the LCM of 422 and 427.

LCM(422,427) = 21×71×611×2111
LCM(422,427) = 180194

Factors of 422

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

1, 2, 211, 422

Factors of 427

List of positive integer factors of 427 that divides 427 without a remainder.

1, 7, 61, 427

Least Common Multiple of 422 and 427 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 427, than apply into the LCM equation.

GCF(422,427) = 1
LCM(422,427) = ( 422 × 427) / 1
LCM(422,427) = 180194 / 1
LCM(422,427) = 180194

Properties of LCM 422 and 427

(i) The LCM of 427 and 422 is associative

LCM of 422 and 427 = LCM of 427 and 422

Related Least Common Multiples of 422

Related Least Common Multiples of 427

Frequently Asked Questions on LCM of 422 and 427

1. What is the LCM of 422 and 427?

Answer: LCM of 422 and 427 is 180194.

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 427?

Answer: Factors of 427 are 1, 7, 61, 427. There are 4 integers that are factors of 427. The greatest factor of 427 is 427.

4. How to Find the LCM of 422 and 427?

Answer:

Least Common Multiple of 422 and 427 = 180194

Step 1: Find the prime factorization of 422

422 = 2 x 211

Step 2: Find the prime factorization of 427

427 = 7 x 61

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

LCM = 180194 = 2 x 7 x 61 x 211

Step 4: Therefore, the least common multiple of 422 and 427 is 180194.